Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 831837: solve using the square root property : (x+9)^2=24
Click here to see answer by TimothyLamb(4379)

Question 831830: Find the zeros (roots) of the quadratic equation. x^2 + 8x - 20 = 0
Click here to see answer by TimothyLamb(4379)

Question 832035: I have 3x^2+9x=0 and I have to solve it by first factoring out the common factor which ended up with 3x(x+3)=0, it then said to set each factor to zero, then put down what x equals, I don't know how to set each factor to 0.
.
Click here to see answer by hovuquocan1997(83)

Question 832338: If 1 is a root of the equation 5x^2 +kx-3=0,find the other root.
Click here to see answer by stanbon(75887)

Question 832595: Write a quadratic equation having the given numbers as solutions: -9 and -6.
Click here to see answer by Alan3354(69443)

Question 832595: Write a quadratic equation having the given numbers as solutions: -9 and -6.
Click here to see answer by josgarithmetic(39618)

Question 832595: Write a quadratic equation having the given numbers as solutions: -9 and -6.
Click here to see answer by math-vortex(648)

Question 832593: find the quadric equation for -9 and -6
Click here to see answer by josgarithmetic(39618)

Question 832652: Hi, i need help with the question:
Express x^2 +2x +y^2 -6y = 0 in the form (x-a)^2 + (y-b)^2 =c, where a,b and c are real numbers.
Thank you in advance.
Click here to see answer by josgarithmetic(39618)

Question 832672: A plane leaves Chicago for LAX 2100km away flying at 500 km/hr. One hour later a jet leaves LAX for Chicago flying 200 km/hr faster. If the plane left at noon, at what time do they cross each other?
Click here to see answer by JulietG(1812)

Question 832670: One side of a square is decreased by three and the other side by 5 resulting in an area decreased by 185. What are the new dimensions?
Click here to see answer by thejackal(72)

Question 833014: How many equations does the quadratic equation x^2+6x+9=0 have?
Click here to see answer by josgarithmetic(39618)

Question 833199: State the equation of the axis of symmetry if the zeros of a quadratic are 10 and -2.
Click here to see answer by Fombitz(32388)

Question 833186: Is x squared + 2x+1=9 a quadratic equation?
Click here to see answer by Fombitz(32388)

Question 833429: A couple just had a baby. How much should they invest now at 5.5% compounded weekly in order to have $60,000 for the child�s education 19 years from now? Round to the nearest dollar.
Click here to see answer by nerdybill(7384)

Question 833655: 4/x + 4/x-15 =1
Click here to see answer by stanbon(75887)

Question 833671: how do I put this quadratic equation into general form? The fraction is making it complicated. Thank you.
1/5(3x^2-10)=12x
Click here to see answer by ankor@dixie-net.com(22740)

Question 833659: Determine the solution(s) to the given equation.
4/x+4/(x-15)=1
Click here to see answer by josgarithmetic(39618)

Question 833602: Jerry wants to purchase some items whose cost function is c=3x + 5, where x is the number of items. If Jerry spends between $50 and $80, find the minimum and maximum number of items that he can purchase.
Click here to see answer by rfer(16322)

Question 833706: Hi,
So I didn't really understand how to do this problem and I was wondering if you could do it step by step so I could fully understand. Thanks so much for your time and effort.
Question :
The equation for the motion of a projectile fired straight up at an initial velocity of 64ft/s is h=64t-16t^2, where h s the height in feet and t is the time in seconds. Fine the time the projectile needs to reach its highest point. How high will it go ?
Again thanks so much! c:
Click here to see answer by Alan3354(69443)

Question 833844: The general form for the equation of a parabola is y= ax^2 + bx + c, while the general equation for a (null factor law) quadratic is 0= ax^2 + bx + c
Is there a connection between the form of the two equations?
Click here to see answer by josgarithmetic(39618)

Question 833912: Help! Don't know how to put story problem into quadratic formula:
A rectangular garden is 30 ft by 40 ft. Part of the garden is removed in order to install a walkway of uniform width around it. The area of the new garden is one-half the area of the old garden. How wide is the walkway?
Click here to see answer by MathLover1(20850)

Question 833965: A rectangular garden measures 8m by 14m. we want to double the area of the garden by adding equal lengths to both dimension. Determine this length to the nearest tenth of a metre.
Click here to see answer by DrBeeee(684)

Question 834016: Write the following quadratic function in the vertext form. Then, identify the axis of symmetry and the coordinates of the vertex.
y-x^2 + 4x -6
please help me I do not know how to solve this.
Click here to see answer by josgarithmetic(39618)

Question 834198: whats the distance between (5,5) and (4,-3) ??
Click here to see answer by stanbon(75887)

Question 834536: Solve:(X 3)(x 5)(x-2)(x-4)=120
Click here to see answer by Fombitz(32388)

Question 834606: (x-1)-(x-1)�=0
Click here to see answer by sachi(548)

Question 834767: A football is kicked into the air. The equation h=-4.9t(to the power of)2 + 9.8t + 1 expresses the relationship between height (h) and time (t), in seconds.
a. Determine the maximum height reached by the football.
b. At what time after the kick is the ball at a height of 5m.
Click here to see answer by Alan3354(69443)

Question 834845: Find an equation of the circle that satisfies the stated conditions. (Give your answer in standard notation.)
Endpoints of a diameter A(−8, 5) and B(6, 9)
Click here to see answer by stanbon(75887)

Question 834855: If a and h are real numbers, find the following values for the given function.
f(x) = 7 − 3x
(a)
f(a)
Incorrect: Your answer is incorrect.
(b)
f(−a)

(c)
−f(a)

(d)
f(a + h)

(e)
f(a) + f(h)

(f)
f(a + h) − f(a)
h
, if h ≠ 0
Click here to see answer by stanbon(75887)

Question 834933: I have tried several times to work this problem, would you please show me the process
x+0.08(60)=0.20(60+x)
Click here to see answer by Theo(13342)

Question 834968: 2 parabolas have the same x intercepts (-2,0) and (4,0). The maximum or minimum value of the first is 2 times the maximum or minimum value of the other. how do I find the vetex location for each of these?
Click here to see answer by Theo(13342)

Question 835090: 5m+6+2+2(2m-5)=5(m+5)
Click here to see answer by rfer(16322)

Question 835122: Write a quadratic equation of the form x^2+bx+c=0 that has roots 8 and 11.
Click here to see answer by Fombitz(32388)

Question 835159: Solve the equation.
36x^2+96x+15
Click here to see answer by Alan3354(69443)

Question 835373: sketch the graph of the equation.
x = 2y^2-4
Label the x- and y-intercepts. (If an answer does not exist, enter DNE.)
x-intercept
(x, y) =
Incorrect: Your answer is incorrect.

y-intercept
(x, y) =
Incorrect: Your answer is incorrect.

(smaller y-value)
y-intercept
(x, y) =
Incorrect: Your answer is incorrect.

(larger y-value)
Click here to see answer by reviewermath(1029)

Question 835385: Find the center and radius of the circle with the given equation.
2x2 + 2y2 − 4x + 12y − 15 = 0

Click here to see answer by KMST(5328)

Question 835686: Consider the following circle.
x2 + y2 − 12x + 5y + 19 = 0
(a) Find the x-intercepts.
Click here to see answer by josgarithmetic(39618)

Question 835646: Consider the following circle.
x2 + y2 − 12x + 5y + 19 = 0
(a) Find the x-intercepts.
Click here to see answer by Fombitz(32388)

Question 836061: A quadratic equation, in general form, has positive integercoefficients and two real roots. If one of the roots is -2/5 and the difference between the roots is 2, find the equation.

Click here to see answer by stanbon(75887)

Question 836107: One number is four times more than another. The product of the numbers is 96. Find the numbers.
Please help! Thank you!
Click here to see answer by LinnW(1048)

Question 835240: Solve the equation.
36z^2+96z+15=0
Click here to see answer by LinnW(1048)

Question 836068: If 8x^2-6xy=20y^2, find the possible values of x/y.
Click here to see answer by Fombitz(32388)

Question 836237: Find the vertex , maximum , range and zeros of the formula f(x) = -x^2 + 2x +8
Thanks so much in advance:)
Click here to see answer by LinnW(1048)

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