Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 966335: In the equation x^2+10x+24=(x+a)(x+b), b is an interger. Find algebraically all possible values of b.
Click here to see answer by josgarithmetic(39614)

Question 966364: a stone is thrown upward from a bridge. the stones height s(t) in ft, above the water t seconds after the stone is thrown is given by the function s(t)=-16t^2+32t+256.
a. find the max height of stone.
got 272 ft.
b. find the time it takes the stone to hit the water?
need help with this one.
Click here to see answer by lwsshak3(11628)

Question 966578: What is the value of "x" in the quadratic equation X squared -8x+12=0
Click here to see answer by amarjeeth123(569)

Question 966588: What is the value of x in the quadratic equation "4a^2=2a"
Click here to see answer by Alan3354(69443)

Question 966587: What is the value of x in the quadratic equation "3x^2+11x+6=0
Click here to see answer by josgarithmetic(39614)

Question 966767: A triangle ABC has a base of (x+3)cm & a height of xcm.if it
area is 5cm2 ,calculate the length of its base
Click here to see answer by Fombitz(32388)

Question 966772: After reducing by an equal amount the length & width of a rectangle which were originally 8cm and 5cm respectively the area changes from 40cm2 to 18cm2 .find the dimensions of the new rectangle
Click here to see answer by josgarithmetic(39614)

Question 966747: Can someone please help with these few question step by step? I work them out,but it doesn't add up.
8x^2-64=0 x=
0.7x^2=175 x=
4.8x^2=8 x=
2.56x^2=20 x=
x^2+8x=16 x=

Click here to see answer by Alan3354(69443)

Question 966874: An object is launched straight up into the air. Its height in feet, or h, after t seconds is given by the equation h = �16t2 + 48t + 10.
1. Determine how much time has elapsed when the object is 30 feet above the ground.
2. Determine the projectile�s distance from the ground at the instant that the projectile is fired.
Click here to see answer by lwsshak3(11628)

Question 967064: Ricardo throws a stone off a bridge into a river below. The stone's height above the water in meters, y, is dependent on time in seconds after throwing, x, and can be modeled with the function y=−5(x−8)(x+4).
How many seconds after being thrown will the stone hit the water? seconds

What is the maximum height that the stone will reach? meters

How many seconds after being thrown will the stone reach its maximum height? seconds

What is the height of the stone at the time it is thrown? meters

Click here to see answer by stanbon(75887)

Question 967069: A student was asked to solve the following problem:

and provided the following solution.
(Step 1)
(Step 2)
(Step 3)
(Step 4)
(Step 5)
(Step 6)
Identify the mistakes the student made. Make sure to analyze the entire solution as there may be multiple mistakes. Lastly, show the correct answer to the equation.

I appreciate any help provided! Thank you!
Click here to see answer by josgarithmetic(39614)

Question 967155: A food truck sells 500 sandwiches per day when they charge $9 per sandwich. It sells 100 more sandwiches per day for each $1 decrease in price. What price should the vendor charge to maximize the profit? What would be the maximum profit?
My Work:
let x = number of money decrease
let y = profit
y=500+9x
y=9-1x
y=(500+9x)(9-x)
y=4500-9x^2-500x+81x
y=(-9x^2)-419x+4500
I tried to solve using quadratic formula but my answer was way too large of a number. What did I do wrong?
Click here to see answer by josgarithmetic(39614)

Question 967129: A triangular-shaped wall with a base of 2x+4 & a height of x+3. The area of the triangle is 56 in.^2. What is the value of x?
Click here to see answer by amarjeeth123(569)

Question 967188: The equation of a curve is given by
y = 4x^4+10
Obtain the tangent line to the curve at the point where x = 2. Please enter your answer as an equation in the form: y = m x + c
for some constants m, c.
Click here to see answer by josgarithmetic(39614)

Question 967295: How many real number solutions does the quadratic equation 2x^2+7x-9 have?
Click here to see answer by ikleyn(52756)

Question 967304: Hong is standing on a hill and throws a frisbee to her friend, who stands on flat ground at the bottom of the hill. The toss is short, however, and the frisbee hits the ground before her friend can get to it. The height of the frisbee, in meters, above the flat ground at the bottom of the hill, y, is dependent on the number of seconds after it is thrown, x, and can be modeled with the function y=-(x-2)^2+36
How many seconds after being thrown will the frisbee reach its maximum height? .. seconds

What is the maximum height that the frisbee will reach?....meters

How many seconds after being thrown will the frisbee hit the ground? .seconds..

What is the height of the frisbee at the time it is thrown? ...meters

Click here to see answer by stanbon(75887)

Question 967388: the area of a rectangular soccer field is 5000yd^2. the length of the field is twice the width. find the dimensions of the field
Click here to see answer by amarjeeth123(569)

Question 967420: Write an equation for a function with a graph that has two intercepts, (-2, 0) and (3, 0). Upload the graph of the equation by hand and check the intercepts by substituting -2 and 3 for x in the equation.
Click here to see answer by josgarithmetic(39614)

Question 967423: Write the equations for the following functions in vertex form:
y=x^2−14x+30
y=x^2+7x+10
Click here to see answer by lwsshak3(11628)

Question 967446: A rectangular parking lot has a length that is 12 yards greater than the width. The area of the parking lot is 540 square yards. Find the length and the width. Use the formula, area=Length*width.
Click here to see answer by amarjeeth123(569)

Question 967445: The area of a rectangular garden is 84 square meters. The width is 3 meters longer than one-third of the length. Find the length and the width of the garden. Use the formula, area=length*width. Thanks for the help!!
Click here to see answer by amarjeeth123(569)

Question 967503: A rectangular parking lot has a length that is 3 yards greater than the width. The area of the parking lot is 700 square yards. Find the length and the width. Use the formula, area=length*width. Can you please show all the steps so that I can see how you are doing this problem? Thank you!!
Click here to see answer by checkley77(12844)

Question 967670: A ball is thrown into the air from the balcony of an apartment building and falls to the ground. The height, h, in metres, of the ball relative to the ground, t seconds after being thrown is given by: h=-5t^2 + 10t + 35
c)After how many seconds does the ball hit the ground?
*I know that the equation in vertex form is: h=-5(t-1)^2+40

Click here to see answer by stanbon(75887)

Question 967672: The sum of two natural numbers is 12. If their product is a maximum, find the numbers.
Click here to see answer by ankor@dixie-net.com(22740)

Question 967766: the product of two consecutive positive odd numbers is 196 . Fing the numbers?
Click here to see answer by Alan3354(69443)

Question 967848: how many x intercepts does this equation have? y=4x^2+x+2
Click here to see answer by Theo(13342)

Question 967847: find the coordinates of the x-intercepts given the quadratic function: y=x^2+2x-15

Click here to see answer by josgarithmetic(39614)

Question 967847: find the coordinates of the x-intercepts given the quadratic function: y=x^2+2x-15

Click here to see answer by MathTherapy(10549)

Question 967930: Use the method of completing the square to transform the quadratic equation into the equation form (x � p)2 = q.
-12 + -5x2 + 2x4 = 0

Click here to see answer by josgarithmetic(39614)

Question 968006: An employee makes (3x-5) dollars am hour for x hours. If the employer wants to pay no more then 200 a day , what is the maximum number of hour the employee can work
Click here to see answer by amarjeeth123(569)

Question 967963: Which of the following are the coordinates of the vertex of y=x^2-10x+2
a. (2,-10)
b. (-5, 23)
c. (5, -23)
d. (-10, 2)
Click here to see answer by lwsshak3(11628)

Question 968149: Solve the quadratic inequality by graphing an appropriate quadratic function.
x^2+6x<-8
Click here to see answer by Edwin McCravy(20054)

Question 968391: determine the roots of the equations below.
y=(x−3)^2−19
y=x^2+5x−1
Click here to see answer by josgarithmetic(39614)

Question 968373: a.) Write the equation below in factored form and identify its x-intercepts.
y=x^2+12x+35
b.) Now write the equation in vertex form.
c.)now sketch the graph
Click here to see answer by josgarithmetic(39614)

Question 968375: What is the lowest point on the graph of y=2(x+5)^2−4? Explain how you can be sure there is no point lower on its graph.
Click here to see answer by KMST(5328)

Question 968620: Graph the parabola and find its vertex
y=x^2-6x+1
Click here to see answer by lwsshak3(11628)

Question 968609: Identify the vertex, axis of symmetry and min/max value
f(x)=3x^2-54x+241
Click here to see answer by lwsshak3(11628)

Question 968610: Identify the min/max (vertex) value. Then sketch the graph.
f(x)-x^2-10x-30
Click here to see answer by lwsshak3(11628)

Question 968648: Consider the functions f(x) = 2x + 25, g(x) = x2 + 5, and h(x) = 5x.

At what integer value of x does the quadratic function, g(x), begin to exceed the linear function, f(x)?
Click here to see answer by josgarithmetic(39614)

Question 968670: At what interest rate will $500 grow to $572.45 on 2 yrs?
using A = P(1+r)^2
Click here to see answer by MathLover1(20849)

Question 968754: Solve by factoring: f(x) = 2x^2 + 9x + 10
Click here to see answer by Fombitz(32388)

Question 968844: A ball is kicked off the roof of a 35m tall building at a speed of 10m/s. The height of the ball is defined by the function h(t)=-4.9t^2+10t+35, where h is the height of the ball in metres and t is the time in seconds. During which of the following intervals of time is the average rate of change of the ball's height the greatest?
Thanks so much :)
Click here to see answer by Alan3354(69443)

Question 968908: Create a quadratic equations with the solutions -5 and -3.
The answer was x^2 + 8x + 15 =0
Totally lost how they got the answer!

Click here to see answer by josgarithmetic(39614)

Question 969219: 8m^2-2m-7=7 now what do I do to get the answer
........____,.........____
1 - \/ 57..., 1 + \/ 57
_______ , __________
.....8.......,.....8

Click here to see answer by solver91311(24713)

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, 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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