Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 710442: Use the quadratic formula to find any x-intercepts of the parabola. (If an answer does not exist, enter DNE.)
y = 4x^2 − 20x + 5
Click here to see answer by jsmallt9(3758)

Question 710612: Good Evening:) here is my question:
The roots of a quadratic equation are -1 and 3. What is its defining equation?
Can you also Give the solution?
Click here to see answer by srinivas.g(540)

Question 711121: How can find max/min value
Click here to see answer by nerdybill(7384)

Question 711590: A ball thrown vertically into the air has its height above ground given by h=-16t^2+112t, where t is in seconds and s is in feet. When will the ball hit the ground?
Click here to see answer by nerdybill(7384)

Question 711576: I have been given two numbers, 4,2/3 and I need to make this into a quadratic equation
Click here to see answer by ankor@dixie-net.com(22740)

Question 711674: HI i need help with these questions.(Completing the square.)
1.)75x^2+35x-10=0
2.)4x^2-72x+324=0
Click here to see answer by lynnlo(4176)

Question 711674: HI i need help with these questions.(Completing the square.)
1.)75x^2+35x-10=0
2.)4x^2-72x+324=0
Click here to see answer by stanbon(75887)

Question 711682: Use the quadratic formula to find both solutions to the quadratic equation given below.
3x^2-x+5=0
Click here to see answer by stanbon(75887)

Question 711727: Hi,
I have an Algebra question. It is a word problem that I am supposed to state as a quadratic equation. I am to use one of 3 methods: factoring, completing the square, or the quadratic formula.
The problem is:
The difference of two positive numbers is six. Their product is 223 less than the sum of their squares. What are the two numbers?
Thanks
Amber
Click here to see answer by josgarithmetic(39613)

Question 711752: a=20+25a
Click here to see answer by checkley79(3341)

Question 711863: im trying to do x^2+9x+18 and I've tried to do 9(x+x)2+18 and (x+x)^2(9+18)
Click here to see answer by jim_thompson5910(35256)

Question 711991: Hi, I need help on solving extraneous equations.
(square root)3x=(squareroot)x+6
(squareroot)3x+2-(SR)2x+7=0
(SR)2x+6-(SR)x-1=2
thank you!
Click here to see answer by jsmallt9(3758)

Question 712121: Put the equation in the form ax2 + bx + c = 0. Use the caret (^) to enter exponents. For example, enter x2 as x^2.
x2 + 6x + 8 = 3
Click here to see answer by Simnepi(216)

Question 712176: Use the quadratic formula to find the solutions to the quadratic equation below.
3x^2-x-2=0?
Click here to see answer by Ave(106)

Question 712186: y^2/3 + 2y^1/3 -3 = 0
Solve For Y
Click here to see answer by htmentor(1343)

Question 712236: Use the method of elimintion to solve system
2x+y+3z=30
4x-3y+6z=50
x+y-2z=30
Click here to see answer by stanbon(75887)

Question 712380: Solve for x:(3^x+3^x^1)=36
Click here to see answer by nerdybill(7384)

Question 712636: I'm having trouble with this one! A rectangular garden has dimensions 3m by 4m. A path is built around the garden. The area of the garden and path is 6 times as great as the area of the garden. What is the width of the path?
Click here to see answer by jim_thompson5910(35256)

Question 712790: The length, width and height of a cubical shipping container are all decresed by 1.0 ft, thereby decresing the volumme of the cube by 37 ft3(feet-cubed) What was the volume of the original conainer?(recall: volume of cube with a side length x=x3) Define the variable, write a quadratic equation and solve by factoring.
Even if I could get help as far as what my quadratic equation should look like, I can factor the rest.
Click here to see answer by josgarithmetic(39613)

Question 712916: write a quadratic equation with integer coefficients for each pair of roots
1/2 and 7/2
Click here to see answer by stanbon(75887)

Question 713018: Can someone please show the steps for this question . please and thanks

Use mx^2 + nx+o and write the proof of the quadratic equation using m,n,o

Click here to see answer by Edwin McCravy(20054)

Question 713143: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter DNE.)
y = x2 − 6
Click here to see answer by josmiceli(19441)

Question 713144: Find the vertex of the graph of the equation.
y = 2x2 − x − 3

Find the minimum or maximum value of the quadratic function.
f(x) = −2x2 + 8x − 3
Click here to see answer by lynnlo(4176)

Question 713311: 2x^2-2x-12=0
Click here to see answer by checkley79(3341)

Question 713311: 2x^2-2x-12=0
Click here to see answer by stanbon(75887)

Question 713335: How can i solve the following equation using the quadratic formula?

Click here to see answer by Alan3354(69443)

Question 713330: How do i solve this quadratic equation: x^2/2+1=2x/3
Click here to see answer by Alan3354(69443)

Question 713736: 1/2xsquared-4+5=0 How do I find the Zeros/x-intercepts for this equation?
Click here to see answer by solver91311(24713)

Question 713796: i am having difficulty solving the following
1/2x squared -x +5 =0
Click here to see answer by solver91311(24713)

Question 713957:
how can i solve this problem using the quadratic formula.
Click here to see answer by josgarithmetic(39613)

Question 713956: how do i solve this equation using the quadratic formula:

Click here to see answer by josgarithmetic(39613)

Question 713829: Solve the equation by completing the square to obtain exact solutions.
* w^2 + 10w + 25 = 1/4
* What I've tried : w^2+ 10w = 1/4 - 25

Click here to see answer by jsmallt9(3758)

Question 714092: Solve by factoring
3a^+5=-8a
Click here to see answer by Alan3354(69443)

Question 714093: Which of the following are solutions to the quadratic equation? Check all that apply.
2x2 + 7x - 2 = - x2 + 2x
Click here to see answer by jsmallt9(3758)

Question 714296: how do you find the vertex, a point that is 1 unit away on each side of the vertex, and a point that is 2 units away on each side of the vertex ?
Click here to see answer by solver91311(24713)

Question 714640: One number is four more than three times another number. Find the numbers if the product is 175.
What I have tried: 3n(n+4)= 175

3n^2+9-175

Click here to see answer by Alan3354(69443)

Question 714629: The height in meters of a ball released from a ramp is given by the function h(t) = -4.9t^2 + 29.4t + 34.3, where t represents the time in seconds since the ball was released from the end of the ramp. Determine the time interval that the ball is above 50m.
What I have tried: -4.9t^2 + 29.4t + 34.3 +50 = 0
then I plug it into the quadratic formula but I keep getting really large decimals.

Click here to see answer by ankor@dixie-net.com(22740)

Question 714624: How would you find the roots and vertex of y=8x(squared)+16x?
Click here to see answer by Gogonati(855)

Question 714846: What are the zeroes of 3x^2+5x-21
Click here to see answer by lynnlo(4176)

Question 714846: What are the zeroes of 3x^2+5x-21
Click here to see answer by Edwin McCravy(20054)

Question 714922: Please help me solve this question! I have to have it solved by tomorrow for school or i will receive a failing grade for not completing it and getting the right answer. Thanks in advance for your help.
Find the zeros of the problem: x^3 - 10x^2 + 25x = 0
I came out with the solution (0,5,5) but i think it might actually be (0,5,D.R.)
*(D.R. meaning double root)(^ meaning to the __ power)
Click here to see answer by jim_thompson5910(35256)

Question 714917: I have a word problem.
"A tour bus serving 400 customers a day charges $5 per person. The owner estimates that the company will lose 20 customers for every $3 fare increase. What charge would you give the most income for the company and what daily income would they expect."
I think the setup is like this, but I am not sure: (400-20x)(5+3x).
COULD YOU PLEASE SHOW THE STEPS? THANKS A LOT.
Click here to see answer by jsmallt9(3758)

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, 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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