Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 978305: Can you help me solve this problem?
The perimeter is 38 Meters and its area is 84 square meters, find its dimension.
Hope you can help me :)
Click here to see answer by Cromlix(4381)

Question 978307: Hello again!
Another question :)
Hope you can answer and thank you very much if you did :)
The length of a triangle is twice its width. If its length is decreased by 3m and its width is increased by 2m, the area of the resulting triangle is 30m^2. Find the dimensions.
Click here to see answer by Cromlix(4381)

Question 978314: Thank you for answering my questions :)
The length of a rectangle is twice its width. If its length is decreased by 3m and its width is increased by 2m, the area of the resulting rectangle is 30m^2. Find the dimension.
In the previous it said its triangle but its rectangle... And i didnt notice it
Sorry for the typo error...

Click here to see answer by stanbon(75887)

Question 978340: determine the equation of the quadratic function which passes through the points (1,-1),(-3,-33),(2,-8)
Click here to see answer by solver91311(24713)

Question 978300: Mr. Bonifacio wouldlike to enclose his two adjacent rectangular gardens with 70.5 m of fencing materials. The gardens are of the same size and their total area is 180 m2
1. How would you represent the dimensions of each garden?
2. What mathematical sentence would represent the length of fencing materials to be used in enclosing the two gardens?
3. How will you find the dimensions of each gardens?
4. What equations will you use in finding the dimensuons of each garden?
5. How would you describe the equations formulated in item 4? How are you going to find the solutions of this equations?
Click here to see answer by ankor@dixie-net.com(22740)

Question 978397: For what values of k will kx^2+10x-6=0 have no solutions? Thanks!
Click here to see answer by MathLover1(20849)

Question 978386: Need help solving this quadratic equation. Please include steps on how to solve. Thank you.
Imagine standing on the roof of a 1450-foot Tower. When you throw a baseball upward from the roof of the tower, the ball�s height above the ground, H (in feet), can be described as a function of the time, t (in seconds), since the ball was dropped. This height function is defined by
H(t) = -16t2 + 80t +1450
Identify the vertical intercept and what does it mean in the context of the problem
After the baseball is thrown, how long will it take till the ball hits the ground?

Your answer to question #2 identifies one horizontal intercept of the equation. Identify another horizontal intercept and discuss whether it makes sense in the context of the problem.
Find the vertex of the equation and interpret its meaning in the context of the problem.
At what time(s) is the ball 1500 feet above the ground?

Click here to see answer by solver91311(24713)

Question 978387: Need help solving this quadratic equation. Please include steps on how to solve. Thank you.
Imagine standing on the roof of a 1450-foot Tower. When you throw a baseball upward from the roof of the tower, the ball�s height above the ground, H (in feet), can be described as a function of the time, t (in seconds), since the ball was dropped. This height function is defined by
H(t) = -16t2 + 80t +1450
Identify the vertical intercept and what does it mean in the context of the problem
After the baseball is thrown, how long will it take till the ball hits the ground?

Your answer to question #2 identifies one horizontal intercept of the equation. Identify another horizontal intercept and discuss whether it makes sense in the context of the problem.
Find the vertex of the equation and interpret its meaning in the context of the problem.
At what time(s) is the ball 1500 feet above the ground?

Click here to see answer by solver91311(24713)

Question 978415: 4:12::5:?

Click here to see answer by josgarithmetic(39614)

Question 978415: 4:12::5:?

Click here to see answer by MathTherapy(10549)

Question 978501: I need help on what the steps are to solve this quadratic problem. Please show the problem with steps included. Thank you :)
Imagine yourself standing on the roof of a 1450-foot Tower. When you throw a ball upward from the roof of the tower, the ball�s height above the ground, H (in feet), can be described as a function of the time, t (in seconds), since the ball was dropped. This height function is defined by
H(t) = -16t2 + 80t +1450
Identify the vertical intercept and what does it mean in the context of the problem
After the baseball is thrown, how long will it take till the ball hits the ground?

Your answer to question #2 identifies one horizontal intercept of the equation. Identify another horizontal intercept and discuss whether it makes sense in the context of the problem.
At what time(s) is the ball 1500 feet above the ground?
Identify the practical domain and range.

Click here to see answer by josgarithmetic(39614)

Question 978432: Find the monic quadratic in the form with solutions

Please show working
Click here to see answer by jim_thompson5910(35256)

Question 978516: given the zeroes 1,2,-3 find the quadratic equation in standard form
Click here to see answer by josgarithmetic(39614)

Question 978529: "The equation x^2-3x+k^2=4 has two distinct real roots. Find the possible values of k." I've already tried plugging in small integers such as �1 and �2 which has yielded answers but I want to know how to properly approach the problem and obtain all the possible solutions. Thanks.
Click here to see answer by josgarithmetic(39614)

Question 978593: Solve by completing the square. x2 = 5x + 2
Click here to see answer by 428225(90)

Question 978593: Solve by completing the square. x2 = 5x + 2
Click here to see answer by ikleyn(52756)

Question 978733: 3x^2-4x=0

Click here to see answer by Theo(13342)

Question 978754: what is the root of 3m^2

Click here to see answer by Alan3354(69443)

Question 978705: the sum of two numbers is 22 and the sum of their square is 250. find the numbers

Click here to see answer by Alan3354(69443)

Question 978795: Jason jumps from a cliff into the ocean. His height as a function of time could be modeled by the function h(t)=-16t^2+32t+45, here t is the time in seconds andhis the height in feet. What height did jason jump from?
Click here to see answer by richwmiller(17219)

Question 978814: Finding the area of a square,if mr.cruz want to construct a square table and has the area of 3 m^2,what shuold be the sulotion?
Click here to see answer by Boreal(15235)

Question 978796: A rectangular parking lot has a width that is eight feet less than its length. Surrounding the parking lot is a sidewalk measuring three feet wide. What are the dimensions of the parking lot if the total area of the parking lot and sidewalk is 2288ft^2?
Click here to see answer by ankor@dixie-net.com(22740)

Question 978755: Finding the area of a square.If the 9 ft^2 square painting is mounted with border on a square frame.If the total area of the border is 3.25 ft^2,what is the length of a side of the frame?
Click here to see answer by josgarithmetic(39614)

Question 979144: x^2 + 6x + 8 = 0 Solve quadratic equation by factoring and show a check of your solutions back into the original equation. I've gotten the factoring completed, having trouble with checking the solution. Please HELP!! Greatly appreciated.
Here's what I have:
x^2 + 6x + 8 = 0
(x+2)(x+4)=0
x+2=0
x+4=0
{-2, -4)

Click here to see answer by MathLover1(20849)

Question 979186: What is the solution set of x^2-98=0
Click here to see answer by MathLover1(20849)

Question 979304: Hi. Can you please help me to answer this problem. Thankyou!
9x^2 - 70 = 0
Click here to see answer by josgarithmetic(39614)

Question 979334: how can i put image on my question?

Click here to see answer by MathLover1(20849)

Question 979430: p+(1/4)*p^(1/2)+K^2=0, What is the value of k to make perfect square...?
Click here to see answer by anand429(138)

Question 973011: If the ratio of the roots of the equation x^2+bx+c=0 is as that of x^2+qx+r=0,then
a)r^2b=qc^2
b)r^2c=qb^2
c)c^2r=q^2b
d)b^2r=q^2c
Click here to see answer by anand429(138)

Question 979463: Find the value of x that will make line AB IS PERPENDICULAR TO AG
given this equation {{ 2x^2 + 24 }}
Click here to see answer by Alan3354(69443)

Question 979462: need help here , please..
1. In about 825 AD , Mohammed ibn Musa Al khowarzimi used this figure to solve the
quadratic equation x^2 + px = q
a.) How long is the side of the largest square?
b.) Explain why the total unshaded area is q
c.) Write an equation stating that the area of the largest square
is the same as q plus the total area of the shaded squares. Take the positive root of both sides and then solve for x. Why do you think al khowarzimi would only
find the positive root of the equation?
d.) Using the equation derived with al khowarzimi's method, find the
positive root of x^2 + 8x = 11
thanks everyone
Click here to see answer by rothauserc(4718)

Question 979471: The weekly profit P in pesos for selling x bottles of hand wash is P = - 100 x^2 + 2500x +1000. how many bottles of hand wash must be sold in order to have a profit of 12, 500 pesos?

Click here to see answer by Boreal(15235)

Question 979716: Determine a quadratic function whose graph has x-intercepts of (8,0) and (-2,0)
Click here to see answer by Alan3354(69443)

Question 979693: (This problem is about the sum and product of roots of quadratic equations)
For what value of p does the sum of roots of the equation 6x^2-3px+5=0 equal the product of roots?
Click here to see answer by ikleyn(52756)

Question 979740: Find the slope and y-intercept of the line.
2x - 6y = 12

i am almost positive that the answer is slope 1/3 and y - intercept is= -2
please help
Click here to see answer by josgarithmetic(39614)

Question 979810: Would someone please clarify my math on this?
The quadratic equation came out to: 4+/- 2 times radical 10, all divided by 4.
To solve, I divided each term in the numerator by 4, yielding 1 +/- radical 10 divided by 2.
However, the solution factored the 4 in the numerator and denominator, then canceled out three 2s to yield 2 +/- radical 10, all divided by 2.
They both calculate out to the same thing. But, so that I don't make future mistakes, it seems that either the solution didn't go all the way, or I did something that may have worked here, but is in fact wrong and may not work in the future.
Thanks for your thoughts.
Helen

Click here to see answer by Edwin McCravy(20054)

Question 979891: i have 455 cents in the piggy bank. I have 11 more dimes than nickels. how many nickels do i have?
Click here to see answer by josmiceli(19441)

Question 980007: Hi can someone please help me with my assignment? Please. So, here's the question...
'2 hikers, Arione and Jairus, started from the same place at the same time and walked towards Lipa Cty, which is 90 km away from their place. Arione walked 1 km/hr faster than Jairus and reached Lipa 1 hour before him. Find the rate of each hiker.'
Click here to see answer by josgarithmetic(39614)

Question 980042: i think of a number,multiplying the number by 3 and subtract 3 from it, the results is 9.what is the number?
Click here to see answer by Cromlix(4381)

Question 980100: A projectile follows a parabolic path whose height in meters, is given by the function f(x) = -x^2 +2x +2.
Find the mazimum horizontal distance that the projectile may cover.
Click here to see answer by josh_jordan(263)

Question 980167: Hello :)
Hope anyone can answer this :)
Thank you in advance!
1.) the sum of two numbers is 15. The sum of their squares is 9 more than 13 times the larger number. Find the numbers.
2.) the product of two numbers is 10 less than 16 times the smaller number. If twice the smaller number is 5 more than the larger number, find the two numbers
Thank you :)
Click here to see answer by onlinepsa(22)

Question 980196: Its completing the square
1.) koko dropped a stone from a bridge to water 100m below. Use the equation h= -4.9t^2, where h is the height and t is the time in seconds, to find the number of seconds it took for the stone to reach the water
2.) the area of the rectangular tabletop is 3 square meters, if the width is 0.5 m shorter than the length, what are the dimensions if the table top
Hope anyone can help me solve it :)
Thank you in advance
Click here to see answer by josgarithmetic(39614)

Question 980203: 1.) If the roots of the quadratic equation x(sq)+bx+24=0 are integers, find the possible values of b. ?
Click here to see answer by Alan3354(69443)

Question 980221: I really need help with the detail of solving this problem. Can someone please show me the step by step process in figuring out this problem?
I have tried to calculate it many times and cannot for the life of me come up with the correct answer.
I am familiar with the quadratic formula but for some reason cannot get it to work for this problem.
�An object is thrown directly upward from a starting height of 25 ft and a starting velocity of 85 ft per second. The following function describes the height of the object with respect to the time, t.�
h(t) = -16t2 + 85t + 25
How long does it take before the object reaches the ground? Round you answer to
the nearest hundredths place.
The answer is 5.59.

Click here to see answer by Alan3354(69443)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240