Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 298145: x^2=16
Click here to see answer by edjones(7569)

Question 298131: HELP!!!!!!!!
I don't get this problem at ALL!!!
If it takes a ball 8 seconds to hit the ground, from what height did it fall?
Click here to see answer by richwmiller(9135)

Question 298131: HELP!!!!!!!!
I don't get this problem at ALL!!!
If it takes a ball 8 seconds to hit the ground, from what height did it fall?
Click here to see answer by unlockmath(1599)

Question 298157: • If you are looking at a graph of a quadratic equation y = ax2 + bx + c, how do you determine where the solutions to 0 = ax2 + bx + c are? Compare this with solving the equation using the quadratic formula.
Click here to see answer by stanbon(57282)

Question 298156: how do you get the two answers for a quadratic equation?i know your supposed to get two but how do you do the last two steps to solve the answer?
Click here to see answer by edjones(7569)

Question 298215: Suppose to want to reserve a rectangular region in a large room and you have 32 ft. of masking tape. Let’s investigate how much area you can reserve with 32 ft. of masking tape and how this area changes with different lengths of sides for the rectangular region.
1) Take a guess on the dimensions of the region that would give the largest area.
2) Find the values for the table below. The column labels of base, height, and area represent the values of the base height and area of the rectangular region. Use as many different values of bases and heights as you can, but have the perimeter or the rectangular region be 32ft. The table could not be put on here but it kind of looks like this:
Base Height Area

Someone please help! Thank you!
Click here to see answer by stanbon(57282)

Question 298299: 1. Without graphing, find the vertex.
Click here to see answer by richwmiller(9135)

Question 298298: 1. Without graphing, find the vertex.
f(x)=-(x+3)^2+4

Click here to see answer by richwmiller(9135)

Question 298352: Need Help!!! 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.
s^2-5s-6=0
Click here to see answer by stanbon(57282)

Question 298365: A rocket is scheduled to lift off from a stage 2ft. off the ground at an initial velocity of 80ft. per sec. How long is the rocket in the air? Use 32 ft/sec as the acceleration rate of gravity(G). What will be the maximum height of the rocket? The converted formula for the height of an object propelled unto the air is h=-16t squared +vt+h sub zero... I think I have height as being 2ft, velocity is 80ft per sec h sub zero is 2ft? I'm so confused! Help! Please! Thank you, Natalie
Click here to see answer by nerdybill(6951)

Question 298382: two numbers differ by 7 and the sum of their squares is 29. find the numbers
Click here to see answer by JBarnum(2044)

Question 298382: two numbers differ by 7 and the sum of their squares is 29. find the numbers
Click here to see answer by Stitch(352)

Question 298351: Find the value of x. If necessary, round to the nearest tenth.

Click here to see answer by Fombitz(13828)

Question 298374: gcf and quadratic equation
4xsquared-8x-60=0
Click here to see answer by dawnhannah(7)

Question 298409: Help!!
Solve.
let f(x) = (x + 10)^2. Find x so that f(x) = 72

Click here to see answer by chibisan(131)

Question 298485: A photograph 8 cm by 11 cm will be framed as shown in the diagram. The
combined area of the frame and photograph will be 180 cm2. Algebraically
determine the outside dimensions of the frame.

Click here to see answer by checkley77(12569)

Question 298460: x2 + 7x - 59 = 0
Click here to see answer by checkley77(12569)

Question 298458: z^2 + 12z + 15 = 0
I tried in the Quadractic having trouble solving it.
Click here to see answer by checkley77(12569)

Question 298538: Solve by applying the Quadratic Formula; all radicals should be simplified as far as possible. Show your work.
12d^2 + 29d + 15 = 0
Click here to see answer by checkley77(12569)

Question 298537: I seriously need help with quadratic formulas. please help.

-55x+30=50x2
Click here to see answer by stanbon(57282)

Question 298537: I seriously need help with quadratic formulas. please help.

-55x+30=50x2
Click here to see answer by checkley77(12569)

Question 298534: Write a quadratic equation having the given numbers as solutions.
2/3, 9/5
Click here to see answer by stanbon(57282)

Question 298534: Write a quadratic equation having the given numbers as solutions.
2/3, 9/5
Click here to see answer by checkley77(12569)

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(57282)

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(9135)

Question 298679: Find 2 positive real numbers that differ by 2 and have a product of 10.
Click here to see answer by nerdybill(6951)

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(12270)

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(12270)

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(6951)

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(9135)

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(8893)

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(1861)

Question 298431: solve. 25b^2-30b-7=0
Click here to see answer by user_dude2008(1861)

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(1861)

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(1861)

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(352)

Question 298951: please solve 2x^2-5x-7 using the quadratic equation.
Click here to see answer by jim_thompson5910(28536)

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(57282)

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(6951)

Question 299055: 2w^2+2=5w
Click here to see answer by checkley77(12569)

Question 298946: What is the 4th root of 48x^6w^12?
Click here to see answer by ankor@dixie-net.com(15645)

Question 299313: 5x^2+17x-12=0
Click here to see answer by stanbon(57282)

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(15645)

Question 299406: Solve by completing the square. 2x^2+8x+5=0
Click here to see answer by jim_thompson5910(28536)

Question 299409: How would you find roots to a equation such as x squared -2x-3
Click here to see answer by jim_thompson5910(28536)

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