Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 945371: Solve the equation by making an appropriate substitution. Separate your answers with commas.
x^{5/4}-14 x^{5/8} + 49 = 0
Click here to see answer by Fombitz(32388)

Question 945369: Solve the equation. Check all proposed solutions and separate your answers with commas.
(x-52)^{2/5} = 4
Click here to see answer by Fombitz(32388)

Question 945456: Factor the polynomial, if possible.
6y2 - 4y + 3y - 2

Click here to see answer by MathLover1(20849)

Question 945677: Pls what is the value of m which makes the quadratic function X^2+2(m 1)X+m+3 perfect square
Click here to see answer by Alan3354(69443)

Question 945368: Solve the equation. Check all proposed solutions and separate your answers with commas.
3 x^{5/7} - 12 = 0
Click here to see answer by ankor@dixie-net.com(22740)

Question 945695: What substitution should be used to rewrite 4x4 � 21x2 + 20 = 0 as a quadratic equation?

Click here to see answer by josgarithmetic(39617)

Question 945716: Maximizing profits: In business, profit is the difference between revenue and cost; that is Total Profit=Total Revenue - Total Cost, P(x)=R(x)-C(x), where x is the number of units sold. Find the maximum profit and the number of units that must be sold in order to yield the maximum profit for
R(x)=20x-0.1x^2, C(x)=4x+2
Click here to see answer by lwsshak3(11628)

Question 945761: 5. The population of a small town is monitored starting in 2000, and the data follows the quadratic equation (x > 0), where x is the number of years after 2000. How many residents were there in 2007?
Click here to see answer by richard1234(7193)

Question 945802: In a two digit number, the tens digit is 5 less than the ones digit. The number is 14 greater than the product of the digits. Find the number
Click here to see answer by 428225(90)

Question 945823: 8x
Click here to see answer by Alan3354(69443)

Question 945935: without solving, determine the number of real solutions for each quadratic equation.
1. x-3xsquared = 5+2x-xsquared
Click here to see answer by Alan3354(69443)

Question 945953: Select the approximate values of x that are solutions to f(x) = 0, where
f(x) = -7x2 + 2x + 8.

{�0.94, 1.22}

{-7, 2}

{�0.29, �1.14}

{�0.88, 0.25}
Click here to see answer by MathLover1(20849)

Question 945952: Select the approximate values of x that are solutions to f(x) = 0, where
f(x) = -3x2 + 5x + 3.

{2.14, �0.47}

{-3, 5}

{�1.67, �1.00}

{�1.00, 1.67}
Click here to see answer by rfer(16322)

Question 945951: Select the approximate values of x that are solutions to f(x) = 0, where
f(x) = -4x2 + 6x + 3.

{�1.33, 2.00}

{-4, 6}

{�1.50, �0.75}

{�0.40, 1.90}
Click here to see answer by rfer(16322)

Question 946110: How do you solve 6x^2-32=0 using the quadratic formula
Click here to see answer by Fombitz(32388)

Question 946208: I don't even know where to begin with this problem. A page of a magazine contains 36 square inches of type. The height of the page is twice the width. If the margin around the type is 3 inches uniformly, what are the dimensions of the page? I know I have to set up a quadratic equation but I don't know what to put where.
Click here to see answer by Fombitz(32388)

Question 946230: I'm struggling a lot on solving an equation in quadratic form. The problem I'm currently on is the following:
6(x+2)^4 - 11(x+2)^2 = 4
where u = (x+2)^2 and u^2 = (x+2)^4
So far I've done...
6u^2 - 11u + 4 = 0
(2u - 1)(3u - 4) = 0
u = 1/2 and u = 4/3
From there, I need help.
Click here to see answer by Fombitz(32388)

Question 946232: I'm struggling a lot on solving an equation in quadratic form. The problem I'm currently on is the following:
16x^-4 - 65x^-2 +4 = 0
where u = x^-2 and u^2 = x^-4
So far I've done...
16u^2 - 65u + 4 = 0
(16u - 1)(u - 4) = 0
u = 1/16 and u = 4
From there, I need help.
Click here to see answer by Fombitz(32388)

Question 946321: please help me solve 5x^3+40x^2+80x
Click here to see answer by Alan3354(69443)

Question 946498: Need help on this problem...
16x^-4 - 65x^-2 +4 = 0
where u = x^-2
So far I've done...
16u^2 - 65u + 4 = 0
(16u - 1)(u - 4) = 0
u = 1/16 and u = 4
From there, I need help.
Click here to see answer by rothauserc(4718)

Question 946507: -5x^2=-5x+9 solve by using the quadratic formula.
Click here to see answer by MathLover1(20849)

Question 946674: y=x^2-3x+4 you have to solve for the vertex
Click here to see answer by Alan3354(69443)

Question 946927: A ball is thrown into the air with the in initial upward velocity of 45 ft/s. It's height (h) in feet after t seconds is given by the function h=- -16t^2+45t+6. After about how many seconds will the ball hit the ground?
Click here to see answer by Alan3354(69443)

Question 946929: A ball is thrown into the air with the in initial upward velocity of 60 ft/s. It's height (h) in feet after t seconds is given by the function h=- -16t^2+60t+6. What will the height be at t=3 seconds?
Click here to see answer by Alan3354(69443)

Question 947155: a sail is in the form of a right triangle that is four times as high as it is wide. the sail is made from 18 square meters of material. what is its height?

Click here to see answer by Fombitz(32388)

Question 946770: If x^y+y^x =17 and x+y = 5, find x and y.
Click here to see answer by Fombitz(32388)

Question 947186: Put the equation in the form ax2 + bx + c = 0. Enter exponents using the caret ( ^ ). For example, you would enter 4x2 as 4x^2.
x^2+6x=-4x^2+2
Click here to see answer by Fombitz(32388)

Question 946223: find 3 consecutive positive even integers such that the sum of the squares of the first and second integers is equal to the square of the third integer plus 48
Click here to see answer by Fombitz(32388)

Question 947195: Find the solutions to the equation below. Check all that apply.
4x^2+4x+1=0
A. X= -1/2
B. X= 1/2
C. X= -2
D. X= 2
E. X=3
F. X= 3/2
Click here to see answer by Fombitz(32388)

Question 947201: 14 + 14x � x2 = 0 solve quadratic equation
Click here to see answer by Fombitz(32388)

Question 947232: Simplify the function
f(x)=6(8−x)2+8
by expanding and combining like terms. Simplify your answer as much as possible.
Click here to see answer by Fombitz(32388)

Question 947198: Put the equation in the form ax2 + bx + c = 0. Enter exponents using the caret ( ^ ). For example, you would enter 4x2 as 4x^2.
7-3x^2=(x+2)^2-6
Click here to see answer by MathLover1(20849)

Question 947245: 14x^2+3x-5
Click here to see answer by Alan3354(69443)

Question 947238: Find the solutions to the equation below. Check all that apply.

2x^2+9x+4=0
A. X=7
B. X=-4
C. X=4
D. X=-3
E. X=2
F. X=-1/2
Click here to see answer by MathLover1(20849)

Question 947285: How would you find the lateral distance between the zeros of a quadratic
Click here to see answer by josgarithmetic(39617)

Question 947342: Solve

Click here to see answer by macston(5194)

Question 947425: Put the equation in the form ax2 + bx + c = 0. Enter exponents using the caret ( ^ ). For example, you would enter 4x2 as 4x^2.
2x^2+3x=(3x-1)^2-x^2
Click here to see answer by rothauserc(4718)

Question 947480: Put the equation in the form ax2 + bx + c = 0. Enter exponents using the caret ( ^ ). For example, you would enter 4x2 as 4x^2.
x^2+6x=-4x^2+2
Click here to see answer by jim_thompson5910(35256)

Question 947535: make x subject of the formula ux^2+t=5t-2x^2
Click here to see answer by Theo(13342)

Question 947593: Put the equation in the form ax2 + bx + c = 0. Enter exponents using the caret ( ^ ). For example, you would enter 4x2 as 4x^2.
x^2+3x+7=6x+18
Click here to see answer by MathLover1(20849)

Question 947728: Find all values of k such that g(x)=3x^2+kx+8 has two distinct real x intercepts. Give the answer in interval notation.
Click here to see answer by Theo(13342)

Question 947729: How do i convert standard from to Vertex form?
5x+20x-66=0
I dont know what to do here because i cannot factor anything out.
Click here to see answer by josgarithmetic(39617)

Question 947758: how to solve a problem in which there are two real numbers and taking half of one number is the same as adding 12.5 to another. Also the squares of the two real numbers are 200 apart?
Click here to see answer by stanbon(75887)

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, 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