Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 298661: Working together, Rick and Juanita can complete a job in 6 hours. It would take Rick 9 hours longer than Juanita to do the job alone. How long would it take Juanita alone? Show your work.
Click here to see answer by stanbon(75887)

Question 298677: Sue can paint a barn by herself in X days. Mary can paint the same barn by herself in 2x days. Write a rational expression for the fraction of the barn that they complete in one day by working together. Evaluate the expression for x = 5.
Click here to see answer by richwmiller(17219)

Question 298679: Find 2 positive real numbers that differ by 2 and have a product of 10.
Click here to see answer by nerdybill(7384)

Question 298680: Sailing to Miami. At point A the captain of a ship
determined that the distance to Miami was 13 miles.
If she sailed north to point B and then west to Miami,
the distance would be 17 miles. If the distance from
point A to point B is greater than the distance from
point B to Miami, then how far is it from point A to
point B?
Click here to see answer by mananth(16946)

Question 298640: A rock falls from a tower that is 400 ft high. AS it is falling, its height is given by formula h = 400 - 16t^2. How many seconds will it takes for the rock to hit the ground (h = 0)? Show your work.
Click here to see answer by mananth(16946)

Question 298717: I am having trouble with these three problems.
1. Without graphing, find the vertex.
f(x)= -(x + 3)^2 + 4

2. Without graphing, find the line of symmetry.
f(x)= 13/6(x-5)^2 + 5

3. Without graphing, find the minimum value.
f(x) = (x-1)^2 + 1

Click here to see answer by nerdybill(7384)

Question 298730: 2. Use the discriminant to determine whether the following equations have solutions that are: two different rational solutions; two different irrational solutions; exactly one rational solution; or two different imaginary solutions.
Thank you so much for your assistance
Click here to see answer by richwmiller(17219)

Question 298742: Find a quadratic equation that has the solution set (4/3, 2).
And...
A rectangular picture is 8 by 10 inches. The frame has the same width all the way around. The frame and the picture together have a total area of 168 square inches. What is the width of the frame.
Click here to see answer by Edwin McCravy(20054)

Question 298735: Use the quadratic formula to determine the x-intercepts (if any) of the following function. Then evaluate the function for several values of x, and use the resulting points to graph the function. Show your work; and submit your graph through the Dropbox.
f(x) = 2x2

I will be able to graph them I am just unable to figure out the x- intercepts. Thanks in advance
Click here to see answer by user_dude2008(1862)

Question 298431: solve. 25b^2-30b-7=0
Click here to see answer by user_dude2008(1862)

Question 298385: sorry, i didnt realize that the entire question didnt post. solve quadratic equation by factoring and using the zero-product principle:
28x^2+20x=0
Click here to see answer by user_dude2008(1862)

Question 298171: use the quadratic formula to determine the x intercepts(if any) of the following function. then evaluate the function for several values of x, and use the resulting points to graph the function. f(x)=x^2-4x+4
Using the formula My answer was x=2. but I don't have a clue how to get other values for x. I thought if the discriminant was 0, which it is, that you could only have one rational solution????? Please help..really want to figure out how to do this problem
Click here to see answer by user_dude2008(1862)

Question 298833: How long would it take an object to fall freely from the top of a tower 1570 feet tall?
The formula is s=16t^2
s=ft
t=sec
Click here to see answer by Stitch(470)

Question 298951: please solve 2x^2-5x-7 using the quadratic equation.
Click here to see answer by jim_thompson5910(35256)

Question 299009: Please help I got a few answers:
s=16t^2 is used to approximate the distance x, in feet, that an object falls freely ( from rest) in t seconds. Use this formula to solve the problem round to the nearest tenth
A man drops his keys off a building 1420 ft. high. How long does it take the keys, falling freely, to hit the ground?
Thank you
Click here to see answer by stanbon(75887)

Question 299015: A ball is thrown vertically upward from the top of a building 102 feet tall with an initial velocity of 60 feet per second. The distance s (in feet) of the ball from the ground after t seconds is s(t)=-16t^2+60t+102
What is the distance of the ball from the ground at time t=0?
After how many seconds does the ball strike the ground?
After how many seconds will the ball pass the top of the building on its way down?

Click here to see answer by nerdybill(7384)

Question 299055: 2w^2+2=5w
Click here to see answer by checkley77(12844)

Question 298946: What is the 4th root of 48x^6w^12?
Click here to see answer by ankor@dixie-net.com(22740)

Question 299313: 5x^2+17x-12=0
Click here to see answer by stanbon(75887)

Question 299299: Complete each ordered pair so that it satisfies the given equation:
1. f(x)=x^2 (4, ) ( ,9)
Click here to see answer by ankor@dixie-net.com(22740)

Question 299406: Solve by completing the square. 2x^2+8x+5=0
Click here to see answer by jim_thompson5910(35256)

Question 299409: How would you find roots to a equation such as x squared -2x-3
Click here to see answer by jim_thompson5910(35256)

Question 299357: Is this equation d^2+36=0 no solution?
Click here to see answer by jim_thompson5910(35256)

Question 299526: what is the exact and approximate solution to three decimal places x^2+5x-7=0
Click here to see answer by Alan3354(69443)

Question 299546: This is the exact equation she gave me: "A child tosses a ball upward with an initial velocity of 10 f/s at a height of 3 feet. If it is not caught, how long will it be in the air?"
The formula she gave us to use is h(t)=-16^2+vt+s
I tried setting it equal to zero but got lost after that.
Click here to see answer by Alan3354(69443)

Question 299568: The product of 7 and the square of a number is 112. Find the number.
Click here to see answer by mananth(16946)

Question 299573: i need to get 2x^2+4x+1=0 i know about the a=2 b=4 c=1 but i have completely forgotten how to apply it
Click here to see answer by Edwin McCravy(20054)

Question 299581: Solve by applying the Quadratic Formula; all radicals should be simplified as far as possible. Show your work.
a^2 - 12a + 35 = 0

Click here to see answer by jim_thompson5910(35256)

Question 299581: Solve by applying the Quadratic Formula; all radicals should be simplified as far as possible. Show your work.
a^2 - 12a + 35 = 0

Click here to see answer by Edwin McCravy(20054)

Question 299575: Give the exact and approximate solutions to three decimal places.
x^2-7x+7=0
Click here to see answer by jim_thompson5910(35256)

Question 299593: A baseball is thrown straight upwards with an initial velocity of 224 ft/s.
At what time(s) does the ball reach 832 feet?

Click here to see answer by helpnalgebra(91)

Question 299593: A baseball is thrown straight upwards with an initial velocity of 224 ft/s.
At what time(s) does the ball reach 832 feet?

Click here to see answer by Alan3354(69443)

Question 299608: Find the distance between the pair of points. Express your answer in simplest radical form. (1,-3) and (9,-18)
Click here to see answer by Alan3354(69443)

Question 299578: The formula s = 16t^2 is used to approximate the distance s, in feet, that an object falls freely (from rest) in t seconds. Use this formula to solve the problem. (Round answer to the nearest tenth.)
A branch of a tree hangs 575 ft above the soil. If a twig breaks off, how long will it take it, falling freely, to reach the soil?
Click here to see answer by mananth(16946)

Question 299709: Together, two pipes can fill a swimming pool in 4 hours.
Click here to see answer by richwmiller(17219)

Question 299705: Pls. help me solve these problem:
A grassy plot 25m by 30m is surrounded by a walk of uniform width. If the area of the walk is 300sq. m., how wide is it?
Click here to see answer by nerdybill(7384)

Question 299789: Find the difference between the pair of points. Express your answer in simplest form. (6,-6) and (10,-4)
Click here to see answer by Alan3354(69443)

Question 299902: sketch graph of quadratic function. give the vertex and axis of symmetry
f(x)= -2(x+5)^2-6
Click here to see answer by stanbon(75887)

Question 299911: x^4-33x^2-108=0
Click here to see answer by stanbon(75887)

Question 299970: The area of a rectangle is 91 square inches. It's length is 1 inch les than twice its width. What is the length?
Click here to see answer by JBarnum(2146)

Question 299970: The area of a rectangle is 91 square inches. It's length is 1 inch les than twice its width. What is the length?
Click here to see answer by Alan3354(69443)

Question 299958: The cost of 5 boxes of cookies is 15 dollars. Which equation shows this in function notation?
Click here to see answer by josmiceli(19441)

Question 300035: Hello! this is an s.o.s. fI need to figure out this problem for class and keep getting stuck. I am supose to translate this problem into two a pair of linear equations in two variables. solve the equation using the elimination or substitute method.
Roberto invested some money at 7%, and then invested $2000 more than twice this amount at 9%. His total annual income from the two investments was $2930. How much was invested at 9% ?
I started out like this, but keep getting stumped!!!
x(0.07) + x*2+2000=2930 or
2930 - s(0.07)=n
2930- 2s+2000(0.09)=n
See wwhat I mean?

Click here to see answer by nerdybill(7384)

Question 300155: i don't understand some of the quadratic equation steps, like:
* when to use the two different equations.
*when do i know that there are no solutions
*if i got a fraction for x do i turn it into a decimal?
*if i don't have to turn it into decimal is there a chance that i can get a real big number? how can i work that out?
*when i use the long equation(the one with the square root on it) im looking for the vertex in the parabola or what.. i don't understand?
Please help me im doing kind of bad in Algebra because i don't understand this quadratic equations
Maria Rivera
Click here to see answer by stanbon(75887)

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