Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 988633: How to solve
-16-6v=-2 (8v-7)
Click here to see answer by MathLover1(20849)

Question 988815: Please solve this problem! I don't understand how to solve it.
Given that x^2-2x-5=0 has 2 different roots, and x^2+ax+b=0 has 2 roots, each 2 less than the corresponding root of the equation, find the values of a and b.
(If the roots of x^2-2x-5=0 are alpha and β, the roots of the second equation will be alpha-2 and β-2)
Thank you!!
Click here to see answer by josgarithmetic(39616)

Question 988830: Please solve using the roots:
Given that the quadratic equation x^2-2x-m+1=0 has 2 positive real number roots, α (alpha) and β (beta), determine the range of values of m.

Click here to see answer by Fombitz(32388)

Question 988931: How to determine the quadratic equation given the roots or given the sum and product of the roots?
Click here to see answer by algebrahouse.com(1659)

Question 988930: How to determine the quadratic equation given the roots or given the sum and product of the roots?
Click here to see answer by josgarithmetic(39616)

Question 989150: A group of people was to share 900rs equallyfor a bus trip to johar. Due to unforeseen circumstances, five of them wer unable to make it and the remaining people had to pay an extra 2.50 each. How many people wer supposed to have shared the cost originally
Click here to see answer by josgarithmetic(39616)

Question 989237: Solve the quadratic equation by factoring. (Enter your answers as a comma-separated list.)
x2 − 3x − 18 = 0
x= ?
Click here to see answer by solver91311(24713)

Question 989242: Use the Quadratic Formula to solve the equation. (Enter your answers as a comma-separated list.)
2x2 + x − 1 = 0
x =

Click here to see answer by Alan3354(69443)

Question 989243: Use the Quadratic Formula to solve the equation. (Enter your answers as a comma-separated list.)
2 + 2x − x2 = 0
x =

Click here to see answer by MathLover1(20849)

Question 989174: 6x^2+x-12=(ax+b)(cx+d)
Click here to see answer by josgarithmetic(39616)

Question 989278: Write a quadratic equation that has the given solutions. (There are many correct answers. Use x as your independent variable.)
−9 and −5
Click here to see answer by themasterofcircuits(27)

Question 989349: Use the Quadratic Formula to solve the equation. (Enter your answers as a comma-separated list.)
8x2 = 20x + 47

Click here to see answer by josgarithmetic(39616)

Question 989424: Find the value(s) of k such that the quadratic (k+1)x^2+2kx+2k=3(kx-1) has roots whose sum and product are equal.
Thanks!
Click here to see answer by thesvw(77)

Question 989506: (3x+2)(x-7)=0

Click here to see answer by Timnewman(323)

Question 989747: To find x and y of y= -2x^2 + 12x + 2
And. Y=x^2 -1
Click here to see answer by ikleyn(52776)

Question 989753: A rectangular farm has a perimeter of 700m and area of 30 000m^2. Find it's dimensions.
Click here to see answer by ikleyn(52776)

Question 990252: Solve
(x^2-x)^2+(x^2-x)-2=0 in exact values
Click here to see answer by ikleyn(52776)

Question 990252: Solve
(x^2-x)^2+(x^2-x)-2=0 in exact values
Click here to see answer by MathTherapy(10551)

Question 990333: Develop a quadratic function that fits the data in the table:

X --- | --- Y
3.99 | 500
5.99 | 650
7.99 | 200

I get how to do it in a larger sequence/table, but as this is only a set of 3 I don't really understand how to make a function, any help?
Click here to see answer by Alan3354(69443)

Question 990487: write quadratic equation whose roots are :
2/3 and -1/2

Click here to see answer by ikleyn(52776)

Question 990488: write quadratic equation whose roots are :
2 and -1

Click here to see answer by ikleyn(52776)

Question 989453: 8b�=3-10b
Click here to see answer by farohw(175)

Question 990546: The vertex form of the equation of a parabola is y = (x + 7)2 + 13.
What is the standard form of the equation?
Click here to see answer by Fombitz(32388)

Question 990548: The difference of two numbers is 2 and the sum of their square twenty what are the numbers

Click here to see answer by ikleyn(52776)

Question 990548: The difference of two numbers is 2 and the sum of their square twenty what are the numbers

Click here to see answer by macston(5194)

Question 990642: -x^2+4x+7
Click here to see answer by Alan3354(69443)

Question 990703: If a toy rocket launched vertically upward from the ground level, where h is the height and t is the seconds, given the equation h (t)=-16t^2 +128t
A. How long will it take for the rocket to return to the ground?
B. How long will it take the rocket to hit it's maximum height?
C. What is the maximum height?
Click here to see answer by Alan3354(69443)

Question 990728: What is the complete factorization of 4x^3-24x^2+36x?
Click here to see answer by ikleyn(52776)

Question 990811: if x =m is one of the solution of equation 2x^2 + 5x - m = 0 the posssible valuee of M are
Click here to see answer by MathLover1(20849)

Question 990898: Solve the quadratic equation by factoring. Separate your answers with commas. Repeated roots should only be entered once.
3x^2 - x = 4
Click here to see answer by josmiceli(19441)

Question 990926: How do you figure this?
F(x)=3x^2+8x+2.
We need to find the zeros of the function. Up can't find the factor pairs of 2 that equal 8
Click here to see answer by josgarithmetic(39616)

Question 990944: i need help with this (1/x)+(1/x+2)=(1/3)

to this 2+sqrt10 and 2-sqrt10
thanks for your time and help
Click here to see answer by rothauserc(4718)

Question 991004: The length of a rectangle is 3 times the width. The area is 108 cm^2. Find the dimensions of the rectangle.
Click here to see answer by ikleyn(52776)

Question 991021: The length of a rectangle is 6 cm more than the width. The area is 11 cm^2. Find the length and width.
Click here to see answer by Timnewman(323)

Question 991022: The length of a rectangular garden is 4 m greater than the width. The area is 71 m^2. Find the dimensions of the garden.
Click here to see answer by josgarithmetic(39616)

Question 991064: Find the roots of the quadratic equation
Y=3x^2-48
Click here to see answer by MathLover1(20849)

Question 991148: What is the sum of a interior angel of 16-gon
Click here to see answer by Alan3354(69443)

Question 991264: Police seals off the scene of the accident ( in a rectangle) with tape 300ft long. What should the dimensions of the rectangle be so that the maximum possible area is sealed off? What is the maximum possible area?
Click here to see answer by solver91311(24713)

Question 991263: A farmer wants to partition a rectangular feed storage area in a corner of his barn. The barn walls form two sides of the stall and the farmer had 50 feet of fence to make the remaining two sides. What dimensions will maximize the area?

Click here to see answer by solver91311(24713)

Question 991315: Find the value of 'm' for which the given equation has exactly one solution 25x^2 + 40x + m = 0.

Click here to see answer by Fombitz(32388)

Question 991313: Is it possible to factor this expression? 4z^2+25
Click here to see answer by Fombitz(32388)

Question 991312: How would you FACTOR this equation? I've tried it all kinds of different ways, but I cannot finish the problem. Please help! The expression is: -9x^5+a^2+x^3+9x^2-a^2. The directions on the assignment are: factor each expression completely, if possible so there is a chance you can't factor it?
Click here to see answer by Fombitz(32388)

Question 991087: A manufacturing company manufactures a cardboard box with a square base and a
height of 15 inches. Suppose the equation
2
x x 60 7,200 0
can be used to find the
length and width of the base of the box, each measuring x inches.
Click here to see answer by Alan3354(69443)

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