Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 224995: factor 6x^2+24
Click here to see answer by drj(1380)

Question 224993: I am stumped on these two and this is what I need to figure out.
1. 4X2 - 4X+3= 0
2. X2+12X-64=0

a. move the constant term to the right side of the equation
b. multiply each term in the equation by four times the cofficient of the x2 term
c. square the coefficient of the original x term and add it to both sides of the equation
d. take the square root of both sides
e. set the left side of the equation equal to the positive square root of the number on the right side and slove for x
f. set the left side of the equation equal to the negative square root of the number on the right side of the equation and slove for x
Click here to see answer by RAY100(1637)

Question 224986: find the variation constant and an equation where y varies directly as x and y=12 when x=2
Click here to see answer by ankor@dixie-net.com(22740)

Question 224912: Solve.
The sq root of (9x+55)=x+5

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

Question 225061: SOLUTION: write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax^2+bx+c=0. Solutions: -8, 3
Click here to see answer by drj(1380)

Question 225082: graph the line containing the given pair of points and find the slope. (-4,2), (1,-3)
Click here to see answer by rfer(16322)

Question 225082: graph the line containing the given pair of points and find the slope. (-4,2), (1,-3)
Click here to see answer by MathTherapy(10549)

Question 225247: Solve this quadratic equation using the Difference of Two Squares rule:
8x^2-2=0
Solve this quadratic equation using the "multiply to give, add to give" rule:
3x^2-5x-12=0
Thanks
Click here to see answer by Edwin McCravy(20054)

Question 225245: Solve this quadratic equation using the Difference of Two Squares rule:
8x^2-2=0
Solve this quadratic equation using the "multiply to give, add to give" rule:
3x^2-5x-12=0
Thanks
Click here to see answer by Edwin McCravy(20054)

Question 225280: 3x^2+3x+13=0
i would like to see how you worked it out please
Click here to see answer by checkley77(12844)

Question 225322: Can anyone explain this to me, I am stumped and can't figure it out. Please I need help..

1. 4X2 - 4X+3= 0
2. X2+12X-64=0
a. move the constant term to the right side of the equation
b. multiply each term in the equation by four times the cofficient of the x2 term
c. square the coefficient of the original x term and add it to both sides of the equation
d. take the square root of both sides
e. set the left side of the equation equal to the positive square root of the number on the right side and slove for x
f. set the left side of the equation equal to the negative square root of the number on the right side of the equation and slove for x
Click here to see answer by jsmallt9(3758)

Question 225753: solve the equation? x^2-11x+30=0
Click here to see answer by nerdybill(7384)

Question 225879: How do i solve this?
I have tried many different ways, asked tons of people. And no one can figure it out.
Find the values for a and k in the function {{ y=ax^2+k}} that contains the points (2,0) and (4,-6).
Thank you i would really appreciate it.
Click here to see answer by jim_thompson5910(35256)

Question 225944: THE PERIMETER IS 1280, THE WIDTH IS 90 LESS THAN THE LENGTH, WHAT IS THE LENGTH AND WIDTH?
Click here to see answer by drj(1380)

Question 225769: how do you solve this equation: x^4-8x^2+12=0
Click here to see answer by edjones(8007)

Question 226036: Use algrebra so solve (x-1)(x+2)=18
iv tried and failed please help me :)
Click here to see answer by drj(1380)

Question 226229: If a polygon has 42 sides, how many diagonals does it have?

Click here to see answer by Edwin McCravy(20054)

Question 226503: t(t-1)=812
What are the steps to solve this equation?
Click here to see answer by jim_thompson5910(35256)

Question 226423: The sum of a number and its square is 182. Find the number(s).
Click here to see answer by user_dude2008(1862)

Question 226420: Find two consecutive odd intergers whose product is 23 more than their sum.
Click here to see answer by user_dude2008(1862)

Question 226528: how do i graph x+2y=-2 useing intercept method?
Click here to see answer by solver91311(24713)

Question 226528: how do i graph x+2y=-2 useing intercept method?
Click here to see answer by rfer(16322)

Question 226609: I know how to solve quadratic equations, but I can't figure out how to simplify this into one. Help please!
(3 / x) - (5 / (x+1)) = 2
Click here to see answer by scott8148(6628)

Question 227039: I am really struggling with this problem. Can someone please help me with it? Thank you so much!
Find (f ◦ g)(1), (g ◦ f)(1), (f ◦ g)(x), and (g ◦ f)(x) where f(x) = 3x^2 + 4 and g(x) = 4x � 1
Click here to see answer by algebrapro18(249)

Question 227096: 2X^2 -7X=9 THIS IS AN EXAMPLE OF QUADRATIC BY COMPLETING THE SQUARE

I THEN GET X^2 - 7/2X = 9/2 BECAUSE I DIVIDE BY 2
TO GET X^2 - 7/2X + 49/16 = 9/2+ 49/16

TO GET (X - 7/4)^2 =121/16 WHY DOES (X-7/4)^2 = 121/16 I KNOW THAT 4 ^2 EQUALS 16 BUT HOW DID MY BOOK GET THE 121

Click here to see answer by josmiceli(19441)

Question 227618: How do I factor out/solve this quadratic problem?
3x^2-15x-60?
Click here to see answer by scott8148(6628)

Question 227618: How do I factor out/solve this quadratic problem?
3x^2-15x-60?
Click here to see answer by Edwin McCravy(20054)

Question 227626: Okay so I understand how to factor this question 3x^2-15x-60, but do I have to factor this equation out before I use the quadratic formula? if so this is what I have 3(x^2-5x-20) my question is can you show me how to plug it into the quadratic formula?
Thanks.
Click here to see answer by Alan3354(69443)

Question 227665: Put the following quadratic function in standard form: a(x-h)^2+k.
(a) f(x)=4x^2+3x+1.
(b) f(x)=-2x^2-2x+3
(c) y=x^2+5x+2
Click here to see answer by jim_thompson5910(35256)

Question 227577: Solve -5x^2 + 10x = -3
Click here to see answer by jim_thompson5910(35256)

Question 227579: 2x^2 - 3x - 1 = 0

x^2 = 8x -5
Click here to see answer by jim_thompson5910(35256)

Question 227578: 9x^2 = 12x - 2
Click here to see answer by jim_thompson5910(35256)

Question 227719: 1)If the graph of y=x2-6x+c is tangent to the x-axis, then c equals
(1) 3
(2) -3
(3) 9
(4) -9
6)Which parabola intersects the x-axis in two distinct points?
(1) y=(x+5)^2
(2) y=(x-5)^2
(3) y=x^2-25
(4) y=x^2+25
9)If the graph of y=4x2+bx=1 intersects the x-axis in two distinct points,then b may be equal to
(1) 3
(2) 4
(3) -4
(4) 5

These are the problems i cant solve. Please show work and i dont know if this is the right topic but i know it Algebra 2 thanks.

Click here to see answer by jsmallt9(3758)

Question 227735: I need help solving this equation:
Click here to see answer by jim_thompson5910(35256)

Question 227890: 38 subtracted from the product of 7 and a number is 11

Click here to see answer by rfer(16322)

Question 227951: Please help me solve this equation:
Click here to see answer by jim_thompson5910(35256)

Question 227950: Please help me solve this equation x^2-2x-13=0.
Click here to see answer by jim_thompson5910(35256)

Question 228018: solve by completing the square
9X^2 +18x-5

now i divide 9 into 9x^2 , 18x and -5 to get

x^2 +2x -5/9

then i square of -5/9 to get -5/3 and i got stuck because my book says that by squaring x ^2 +2 its suppose to equal to -1/3
anyone can give me a full break down why the answer to 9x^2 +18x=-5x is

-1/3, -5/3
Click here to see answer by ankor@dixie-net.com(22740)

Question 228039: solve by completing the square

9x^2 +18X=-5

can anyone give a full break down why the answer is -1/3, -5/3 confused on how my book got -1/3 as an answer.
Click here to see answer by stanbon(75887)

Question 228042: solve by completing the square

3x^2 +5x=2

answer: -2,1/3 can anyone give me full break down on why the answer is -2,1/3
Click here to see answer by scott8148(6628)

Question 228120: find all real solutions of the following equations by using the quadratic formula.
1. xSQUARED-6x+8=0
2. xSQUARED-2x=15
3. xSQUARED-8x=-16
4. xSQUARED+10x+25=0
thank you for answering.
Click here to see answer by mangeshpjoshi(15)

Question 228192: solve for X by using quadratic formula.

3x2+x-2=0
Click here to see answer by jim_thompson5910(35256)

Question 228262: For what values of p will one root of be three times the other root?
Click here to see answer by jsmallt9(3758)

Question 228412: 20x^(2/3) - 6x^(1/3) - 2 = 0
I have tried using my book's suggestion to solve this problem, which is to use a variable, in this case, for (x^1/3) = m. What winds up happening is that I wind up with a factorization problem that doesn't make sense (unfortunately, the text book shows us only the SIMPLEST form of a certain type of problem, leaving you on your own when it comes time to solve something a little more challenging). I am having difficulty grasping the steps and proper execution of this problem and would greatly appreciate your help. Thank you.
Click here to see answer by Theo(13342)

Question 228523: solve for x using the factoring method: -3x^2-x-7
Click here to see answer by jim_thompson5910(35256)

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