Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 1093004: Hello, wondering if you're able to help me factorise x-64x^3 with an explanation please. Just started A-level maths and not sure how to do it yet.
Thank you
Click here to see answer by ikleyn(52779)

Question 1093274: Our lesson on rational exponents is asking for us to solve for x here;
4^(x+1)=1/4
Please help me find the answer. Thanks.
Click here to see answer by Edwin McCravy(20054)

Question 1093273: Please show me how to solve for x here:
7^x+2=343
Thank you and God bless:)
Click here to see answer by Edwin McCravy(20054)

Question 1093270: Please show me how to solve for x here: 4^2x = 16
Appreciate your help. Thanks!
Click here to see answer by Theo(13342)

Question 1093270: Please show me how to solve for x here: 4^2x = 16
Appreciate your help. Thanks!
Click here to see answer by Alan3354(69443)

Question 1093269: Help me solve for x here;
2^x = 128
Thanks for the help.
Click here to see answer by Alan3354(69443)

Question 1093399: Determine the number of real roots of the equation 3x-2=4/(2-x)
Click here to see answer by josgarithmetic(39617)

Question 1093399: Determine the number of real roots of the equation 3x-2=4/(2-x)
Click here to see answer by ikleyn(52779)

Question 1093456: 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 64 feet per second, it's height h is given by the equation h = -16t^2+64t+12. After how many seconds is the height 72 feet?
Click here to see answer by Alan3354(69443)

Question 1093601: Steve races down the basketball court, then stops and shoots � HE SCORES!!! The ball travels through the air and through the basket (10 feet off the ground) according to the function
+ 19.5t + 6.5
Where h represents the height of the basketball above the floor, and t represents the number of seconds that the ball was in the air. How long did it take for the ball to pass through the basket?
The next time down the court. Steve took another shot, shooting the ball according to the same function as in part a, but since he was a few feet farther from the basket, the shot was an Air Ball (missing everything completely). How long was the ball in the air before it hit the floor?

Returning to part a, was there a time besides when the ball passed through the basket, when it was 10 feet off the floor? Presents in a graph and table, provide at least 1 analytic (algebraic) explanation.

Click here to see answer by Boreal(15235)

Question 1094037: Write a quadratic function who's zeros are 11 and 3.

Click here to see answer by josgarithmetic(39617)

Question 1093979: One root of the quadratic equation x^2+mx-(2m+9)=0 is negative the other. Find the value of m and hence, find the roots.
Click here to see answer by ikleyn(52779)

Question 1093979: One root of the quadratic equation x^2+mx-(2m+9)=0 is negative the other. Find the value of m and hence, find the roots.
Click here to see answer by josgarithmetic(39617)

Question 1094085: An object is thrown vertically upward with a velocity of 96 m/sec. The distance S(t) above the ground after t seconds is given by the formula S(t) = 96t - 5t2
Click here to see answer by Alan3354(69443)

Question 1094084: An object is thrown vertically upward with a velocity of 96 m/sec. The distance S(t) above the ground after t seconds is given by the formula S(t) = 96t - 5t
Click here to see answer by ikleyn(52779)

Question 1094144: A company can produce a doll at a cost of $5 per dolls. When the company sells the dolls at a price of $40 they can sell 400 dolls each week. It is estimated that for every $0.50 decrease in the price, they can sell 20 more dolls.
Find the price that will maximize the profit for the company.
Click here to see answer by josmiceli(19441)

Question 1094211: 4 -7x =20 how to show my work and solve this problem
Click here to see answer by ikleyn(52779)

Question 1094145: For the quadratic equation 2x^2 + bx + 3 = 0, explain how to find a value of b where the discriminant yields a quadratic equation with the following types of solutions.
A. two imaginary solutions
B. one real solution
C. two rational solutions
D. two irrational solutions
Click here to see answer by greenestamps(13200)

Question 1094230: Solution in Quadratic Functions; f(x)=x�
Click here to see answer by ikleyn(52779)

Question 1094255: The height of an object above the ground at time t is given by
s(t) = -0.5gt^2 +ut
where u is the initial velocity(constant ) upward (m/s) and g is the constant acceleration due to gravity.
1. At whAT HEIGHT IS THE OBJECT INITIALLY ?
2. for how long is the object in the air before it hits the ground ?
3. when will the object reach its maximum height?
4. what is this maximum height ?

Click here to see answer by ikleyn(52779)

Question 1094289: Let f(x) = a(x-h)^2+k. The vertex of the graph of f is at (2,3) and the graph passes through (1,7).
a. Write down the value of h and of k.
(For this part I got h=2 and k=3) I'm not sure if that's correct.
b. Find the value of a.

Click here to see answer by josgarithmetic(39617)

Question 1094326: A rectangle has twice the side of this square and width three units less than the side of this square. If the two areas are equal what are the squares dimensions?
Click here to see answer by jorel1380(3719)

Question 1094361: Hello tutor, I am stuck on this question and I'm not sure how to solve it
write a quadratic inequality that has the solution X is less than or equal to 4 or x is greater than or equal to 12.
thank you for your help I really appreciate it.

Click here to see answer by ikleyn(52779)

Question 1094357: Hello tutor,, I don't understand this math word problem and I was wondering if you could help me solve it. It is suppose to be solves by using quadratic inequalities in one variable.
The kinetic energy of a moving object is related to its mass and velocity by the formula.
Ek=1/2mv^2, where Ek is the kinetic energy in joules (J), m is the mass of the object in kilograms, and v is the objects velocity in meter per second. what are the possible velocities for a 3kg object with a kinetic energy of less than 600J?(negative velocities are acceptable and represent the opposite direction of a positive velocity.)
thank you so much for your help:)
Click here to see answer by ikleyn(52779)

Question 1094359: hello tutor, I'm having troubles on this inequality, I am having trouble figuring it out.
the inequality 0>2x^2+bx+5 has an infinite number of real solutions when b is?
thank you so much I have been struggling on this question for so long.

Click here to see answer by richwmiller(17219)

Question 1094450: Which method should be used (factoring, square root property, completing the square, and the quadratic formula)
to solve each of the following quadratic equations. Each method can be used only ONCE and why that method?

A) 4x^2 � 27 = 0
B) 4x^2 � 8x � 5 = 0
C) 4x^2 � 8x � 12 = 0
D) 4x^2 � 9x � 7 = 0

Click here to see answer by josgarithmetic(39617)

Question 1094449: What method (factoring, square root property, completing the square, and the quadratic formula) would be used to solve the following problems? They can only be used once.

A) 4x^2 � 27 = 0
B) 4x^2 � 8x � 5 = 0
C) 4x^2 � 8x � 12 = 0
D) 4x^2 � 9x � 7 = 0
Click here to see answer by Alan3354(69443)

Question 1094500: Choose the best description for the model y equals StartFraction kg Over b squared EndFractiony=
kg
b2, if k is a nonzero constant.
Click here to see answer by greenestamps(13200)

Question 1094478: the height h(x), of an object is given by the function h(x)=-16x^2+97x+76 where x is time in seconds and h(x) is height in feet. find the average velocity between x=1 x=2
Click here to see answer by KMST(5328)

Question 1094576: A building in a city has a rectangular base. The length of the base measures
60 ft less than three�times the width. The perimeter of this base is 960 ft. What are the dimensions of the base?
what is the width of base in feet? what is the length of base in feet?
Click here to see answer by addingup(3677)

Question 1094691: Find the (x,y) coordinate of the maximum or minimum value
of the following quadratic equation:-1/6x^2-1/3x+8=y
Click here to see answer by josmiceli(19441)

Question 1094712: Find the intercepts of the given quadratic function.
f(x) = 5x^2
Click here to see answer by ikleyn(52779)

Question 1094800: Amy throws a ball so that when it is at its highest point, it passes through a hoop. The path of the ball is modelled by the equation y = h + kx - 0.5x^2
where y is the height of the ball above the ground and x is the horizontal distance from the point at which the ball was thrown. The centre of the Hoop is at the point where x = 2 and y = 5
Find the values of h and k and find the value of x for when the ball hits the ground.
Click here to see answer by josmiceli(19441)

Question 1094974: for what values of k will the equation y^2 - 15 = k(2y - 8) have equal roots
Click here to see answer by Alan3354(69443)

Question 1094985: For the following equation, determine the values of the missing entries. Reduce all fractions to lowest terms.
12x − 10y = 18
Click here to see answer by josgarithmetic(39617)

Question 1094972: Find k so that the roots of (2k-1)x^2 + (k-1)x - 16 = 0 are numerically equal but opposite in sign.
Click here to see answer by ikleyn(52779)

Question 1094973: if the sum of the roots of 2x^2 -3cx + 2x +c^2 = 0 equals the product of roots, what are the possible values of c
Click here to see answer by ikleyn(52779)

Question 1095406: Need help putting word problem into an equation. I have a quiz and test tomorrow and my teacher does not teach us how to do the problems and the way she puts things is sometimes isn't logical.
A rectangular pen is made with 100m of fencing on 3 sides. The fourth side is a stone wall. Find the greatest possible area of such an enclosure.
Click here to see answer by ikleyn(52779)

Question 1095459: what expression with the smallest numerical coefficient and smallest degree must be multiplied by the expression 120x^(5)y to make it a perfect square?
Click here to see answer by Alan3354(69443)

Question 1095513: Find the remainder when X^2 - 4X + 7 is divided by X -3.
Click here to see answer by josgarithmetic(39617)

Question 1095557: Find those values of K for which x^2-kx-21=0 and x^2-3kx+35=0 have a common root.
Click here to see answer by ikleyn(52779)

Question 1095584: What are the different types of parabola forms i.e. ax^2+bx+c
Click here to see answer by josgarithmetic(39617)

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