Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 809498: show that 25x^2-25x+4=0

Click here to see answer by richwmiller(17219)

Question 809684: What is the max height?
(-4/5)x^2+8x+44

Click here to see answer by za1128(1)

Question 809768: if 2 = p cubed then 8p must equal?
Click here to see answer by MathLover1(20849)

Question 809923: 1) A player throws the ball home from a height of 5.5ft with an initial velocity of 28ft/s. The ball is caught at home plate at a height of 5ft. Three seconds before the ball is thrown, a runner on third base starts toward home plate at an average speed of 25ft/s. Does the runner reach home plate before the ball does? Explain.
I am utterly lost on how to start and work out this problem. Please help.
Click here to see answer by richwmiller(17219)

Question 810011: Multiply every term in the equation 2x2 + 10x + 12 = 0 by a number other than 0.
Click here to see answer by stanbon(75887)

Question 810137: I am told to solve the equation by using the square root property. Express any complex numbers using the i notation.
(2x +5)^2 = 49
Mathway.com gave me the answer of: x = 1, -6
I really do not understand and I have to show my work! Thank you for the help!
Click here to see answer by richwmiller(17219)

Question 810363: i cant solve quadratic equations with fractions! please teach me how!
x^2-9x-19/4=0
Click here to see answer by erica65404(394)

Question 810374: how..
-16t^2-28t+250=0

Click here to see answer by erica65404(394)

Question 810378: h=-5t^2+73t+30
Click here to see answer by erica65404(394)

Question 810124: 2g square-5g+2
Click here to see answer by erica65404(394)

Question 810403: 7x^2+2x-1=0
solve it by completing square.
Click here to see answer by josgarithmetic(39617)

Question 810423: A rectangle has an area of 148cm. If the length is decreased by 3cm and its width is increased by 2cm, the area will be increased by 5cm.
Find the width of the original rectangle.

I cant figure out how to deal with this question but i know the answer of it.
The width of the original rectangle will be 8.37cm
Please help.
Click here to see answer by josgarithmetic(39617)

Question 810509: How long would it take for a ball dropped from a 625 ft building to hit the ground?

Click here to see answer by josmiceli(19441)

Question 810630: Find an equation of the quadratic function in standard form whose graph contains the points (0,5), (1,10), and (2, 19). Can someone work this out please i'm having a little trouble. THANK YOU!!
Click here to see answer by stanbon(75887)

Question 809931: find the two positive integers required if
the sum of a positive integer and its square is 30? find the number
Click here to see answer by tommyt3rd(5050)

Question 810742: f(x)=x2+8x+16
Click here to see answer by Alan3354(69443)

Question 810807: 7 times a number is 8 less than the square of that number. Find the negative solution.

Click here to see answer by erica65404(394)

Question 810761: Please help me solve this
Write the following expression in the form of ax^2+bx+c
(i) --> (x+2)(x+5)
(ii)--> (x-3)(x-4)
Click here to see answer by erica65404(394)

Question 810821: Suppose that the world's current oil reserves in billions of barrels is given by the equation R(t)=-21t+1960 where t represents the number of years since now.
8 years from now, the total oil reserves will be billions of barrels.
If no other oil is deposited into the reserves, the world's oil reserves will be completely depleted approximately years from now.
Round your answer to the nearest year.

my question here is how do I start it. Most of my homework problems are similiar to this but I cannot remember how to start it.
Thanks you so much in advance!!! Natisha
Click here to see answer by stanbon(75887)

Question 810574: tell if the equation has two solutions, one solution, or no real solution:
Click here to see answer by Charles3475(23)

Question 810828: I am stuck on how to solve this word problem. please help...
Hasty Henry and Careless Carrie are so disappointed about their grade on the quiz that they asked to do an extra project. The project involved them attaching a quiz to an item and throwing it off the roof of a 12 story, 165 foot building. Carrie attaches hers to a rock and just drops it. Henry attaches his to a slightly smaller rock but throws it down at 48 feet per second. The height in feet after (t) seconds of Carries rock is given by the equation.
C(t)=-16t^2+165, Henrys' is H(t)=-16t^2-48t+165.
The only thing that i see is that Henry has a speed attached to his problem. How should I break down this problem? Thanks for any help in advance. It is very much appreciated.

Click here to see answer by richwmiller(17219)

Question 810571: tell if the equation has two solutions, one solution, or no real solution:
Click here to see answer by erica65404(394)

Question 810588: X=-2(+OR-) the SQUARE ROOT OF -4 what are the steps to get the answer
Click here to see answer by erica65404(394)

Question 810853: The height y, in feet, of a football x seconds after it is thrown is modeled by the equation y = �16x2(squared) + 24x + 1. What information does the zero of the equation 6 = �16x2(squared) + 24x + 1 represent?
Click here to see answer by stanbon(75887)

Question 811155: Hello, I need your help!
I got a system of these three equations.
1. 0 =4a+2b+c
2. -2=9a+3b+c
3. -2= a- b+c
I don't know how to change those to find out the equation y=ax^2+bx+c.
Thanks!
Click here to see answer by stanbon(75887)

Question 811149: Can I please get some help to solve the following Quadratic Equation and show full working. I would really appreciate it.
The length of a poster is 10cm longer than its width. If the area of the poster is 1200cm2, what is the width of the poster?
Click here to see answer by MathLover1(20849)

Question 811202: Find a quadratic equation whose roots differ by 1 and are reciprocals of each other. Find the roots of the equation. (Two answers.)
Click here to see answer by ankor@dixie-net.com(22740)

Question 811396: n2+ n -132 = 0
Click here to see answer by richwmiller(17219)

Question 811419: The area of a rectangular conference room is represented by the equation A = (x2 + 17x + 72) feet2.
If x = 6 feet and the width = (x + 8) feet, what is the perimeter, in feet, of the room?

Click here to see answer by Stitch(470)

Question 811442: x^2 + y^2 - 2x + 6y - 3 = 0 (find center and radius of the circle)
Click here to see answer by Edwin McCravy(20054)

Question 811522: the equation negative 16t squared plus 144t gives the height, in feet, of a toy rocket t seconds after it was launched up into the air. how long will it take for the rocket to return to the ground?
Click here to see answer by richwmiller(17219)

Question 811563: x^2+4x-6 (put into vertex form)--> y=(x-h)^2+k
3x^2+6x-3=0 (solve by using quadratic formula)

Click here to see answer by josgarithmetic(39617)

Question 811700: I having trouble finding out whether these Quadratic Equations have one solution, two solutions, or no solution.
One of the problems is x^2+7x+4=0
I am having problems with this.
Click here to see answer by MathLover1(20849)

Question 811732: -2x2 + 6x +1 +0
1=-2, b=6, c=1
Click here to see answer by erica65404(394)

Question 811506: Complete the square to write the quadratic function in vertex form.
y = x^2 + 8x + 1
Click here to see answer by erica65404(394)

Question 811813: if an object is propelled upward from a height of s feet at an initial velocity of v feet per second, then its height h after t seconds is given by the equation h = -16t^2+vt+s, where h is in feet. If the object is propelled from a height of 12 feet with an initial velocity of 96 feet per second, its height h is given by the equation h = 16t^2+64t+8. After how many seconds is the height is 120 feet?
Click here to see answer by josmiceli(19441)

Question 811979: f(x)=5x (to the 2 power)-6x-4
Click here to see answer by solver91311(24713)

Question 812113: PHYSICS�ENGINEERING For a car traveling at a speed of v miles per hour, under the best possible conditions the shortest distance d necessary to stop it (including reaction time) is given by the formula d = 0.044V^2 + 1.1v, where d is measured in feet. Estimate the speed of a car that requires 165 feet to stop in an emergency.
Click here to see answer by TimothyLamb(4379)

Question 812110: ALCOHOL CONSUMPTION The beer consumption by Americans for the years 1960�2005 can be modeled by the equation [ y = -0.0665x^2 + 3.58x + 122 ], where x is the number of years after 1960, and y is the number of ounces of beer consumed per
person in that year. Find the per person consumption in 1960, then ﬁnd in what year the model predicts that consumption will return to that level.
Click here to see answer by TimothyLamb(4379)

Question 812154: I don't know what number to use for width?
"The function A(x)=x(10-x) describes the area A of a rectangular flower garden where x is it's width in yards. What is the maximum area of the garden?"
Please help. Thanks.
Click here to see answer by TimothyLamb(4379)

Question 812076: use the discriminant to determine the number of real roots of each equation and then solve each equation using the quadratic formula.
2t^2 + 1 = 6t
Click here to see answer by TimothyLamb(4379)

Question 812301:
5). The sides of a right triangle are three consecutive integers. Find the length of all three sides.
Click here to see answer by richwmiller(17219)

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