Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 304045: 7x^2+84=0
Click here to see answer by edjones(8007)

Question 304178: In which direction does the parabola for the quadratic equation y = x2 + 5x + 17 open?
Click here to see answer by jim_thompson5910(35256)

Question 304233: Construct a quadratic equation in x with solutions 4 and -2 (steps would be appreciated if possible)
Click here to see answer by london maths tutor(243)

Question 304253: the sum of the squares of two consecutive integers is 365. what are the integers.
thx
Click here to see answer by JBarnum(2146)

Question 304256: the three sides of a right triangle are consecutive even integers. what is the length of each side
ty
Click here to see answer by Alan3354(69443)

Question 304268: How do you graph a quadratic equation into a parabola?
For example: y=x^2+4x+3
Click here to see answer by stanbon(75887)

Question 304268: How do you graph a quadratic equation into a parabola?
For example: y=x^2+4x+3
Click here to see answer by Alan3354(69443)

Question 304263: (This word problems involves using the quadratic formula) The height in feet of a ball thrown off the roof of a building is given by , where t represents the time in seconds since the ball was thrown. Determine to the nearest tenth of a second the time at which the ball strikes the ground at h=0. (steps will be appreciated)
Click here to see answer by nerdybill(7384)

Question 304267: How do you graph a quadratic equation into a parabola?
For example: y=x^2+4x+3
Click here to see answer by JBarnum(2146)

Question 304338: x squared+(x-1)squared=2
Click here to see answer by checkley77(12844)

Question 304380: Please help me solve this equation: the height in feet of a golf ball that is hit from the ground can be modeled by the function f(x)=-16x^2=96, where x is the time in seconds after the ball is hit. Find the ball's maximum height and the time it takes the ball to reach this height. Then how long the ball is in the air.

* please do this by tonight! I dont understand! Thank you
Click here to see answer by richwmiller(17219)

Question 304387: " solving " a Quadratic means to ?
Click here to see answer by richwmiller(17219)

Question 304393: There are 3 main methods to solving a quadratic what are they ?
Click here to see answer by richwmiller(17219)

Question 304402: solve 8X^2=800. Is the answer X=5(radical)2/2 or X=5+or-(radical)2/2???
Click here to see answer by stanbon(75887)

Question 304400: I am trying to write an equation based on table data.
X: -2, -1, 0, 1, 2
Y: -8, -2, 0, -2, -8
Based on the differences, I know that it should be a quadratic equation, but I do not know the proper format. How do you take the data from the table to create the equation?
Click here to see answer by stanbon(75887)

Question 304414: Can u please show me the table and graph of the parabola for this equation. I don't understand how to find the axis of symmetry and how to pick the points on my graph if the vertix isnt a whole number..... here is the problem... y < 4X^2-2X+1
Click here to see answer by stanbon(75887)

Question 304425: The area of a square garden is 9xsquared-36x+36. What is the perimeter of the garden in terms of x. Show work.
Click here to see answer by mananth(16946)

Question 304465: What number would you add to the equation below to complete the square?
x2 - 11x = 0
Click here to see answer by mananth(16946)

Question 304492: one number is 3 more than another. if their product is 80, find the 2 positive numbers.
Click here to see answer by checkley77(12844)

Question 304580: I'm at a loss with this one because I am not sure if I should distribute first and then factor after moving the terms to the left to = 0 or not.
Solve. (x^2 - 2x)(x + 3) = -2x(x+1)
Click here to see answer by CharlesG2(834)

Question 304581: Any help at all with this equation would be greatly appreciated.
Solve. 3x(x+3) = 2(5x +1)
Click here to see answer by Stitch(470)

Question 304614: how do you factor 12 squared minus c plus 20 doing the AC method

Click here to see answer by stanbon(75887)

Question 304654: would you do these problems and show all work:
solve each equation by graphing the related function. If the equation has no solution, write no soultion.
1)x2=16
Click here to see answer by richwmiller(17219)

Question 304665: the promblem is very confusing

The average annual undergraduated tution and fee charges C, in dollars for a certain 4 yr college for academic years 2000-2001 through 2005-2006 can be estmiated by the equation C=29.7x^2 +314.4x +3467.1, where x is the number of years after the 2000-2001 scademic year. assuming the model will remain valid beyond 2005-2006, in which academic YEAR will tution and fee charges be 8000?
Click here to see answer by stanbon(75887)

Question 304686: find the real solutions, using the quadratic equation
3x(x+2)=5
Click here to see answer by vleith(2983)

Question 304685: use the quadratic formula to find the real solutions
x^2+2x-13=0
x=
Click here to see answer by checkley77(12844)

Question 304624: find the real solutions, using the quadratic equation
3x(x+2)=1

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

Question 304763: find the equation of the line containing the give pair of points
(-7, -4) and (-5, -1)
Click here to see answer by Alan3354(69443)

Question 304739: Sir, i have a query about the representation of a quadratic equation of the form y^2=4ax, to be represented as parabola with the origin at (0,0).Well, the actual equation was S=ut+(1/2)a(t^2), one of the equations of motion.
I have tried solving it, but i cannot enclose a diagram here. I know how to derive the formula y^2=4ax mathematically, but i need help on how to derive it from the equation of motion stated above.
THANK YOU, AND PLEASE HELP.. I NEED THIS BY MONDAY, 17/05/2010.
Click here to see answer by Alan3354(69443)

Question 304437: write the expression 13m^8 -3m^4 +4 in quadratic form if possible
thankyou
Click here to see answer by scott8148(6628)

Question 304438: solve b^4 + 2b^2 -24 =0
thank you
Click here to see answer by scott8148(6628)

Question 304994: Solve for x:� x^2 + 7x + 4 = 0
Click here to see answer by stanbon(75887)

Question 305090: Two young boys, Bob and Tom, are mowing grass one summer as a means of making money to save for their college education. They always split the work and proceeds equally. They have one lawnmower. They obtain a new job which involves mowing a 40' by 80' rectangular vacant lot. The owner wants it mowed in a collapsing pattern (begin mowing around the outside perimeter, with each pass moving closer to the center of the lot). Bob will mow first, turning the work over to Tom when he has mowed exactly half the area. Bob decides that he will stop at a uniform distance in from the perimeter on all sides, leaving a remaining rectangle for Tom to complete. At what uniform distance (in feet to 2 decimal places) should Bob stop mowing? Solve by creating and solving a quadratic equation. How do you solve this problem I do not understand?
Click here to see answer by ankor@dixie-net.com(22740)

Question 305106: given 3 consecutive positive integers, it turns out that the difference between the square of the largest number and the square of the smallest number is 12 less than the square of the middle number. what is the sum of the 3 numbers?
Click here to see answer by dabanfield(803)

Question 305086: It says: Solve by completing the square
equation: m^2-25/2x=5/2
the 25/2 is a fraction and the "x" is on the side, and the 5/2 is a fraction as well.
This is what I've tried so far:
I moved the "5/2" to the other side of the equal sign to where it looks like this:
m^2-25/2x-5/2=0
then I've tried to figure out how to square it
Click here to see answer by dabanfield(803)

Question 305149: (x-5)^2=121
Click here to see answer by checkley77(12844)

Question 305158: -3x+
Click here to see answer by richwmiller(17219)

Question 305157: -3x+4
Click here to see answer by richwmiller(17219)

Question 305153: find the dscriminant of the quadratic equation and give the number and type of solutions of the equation.
s^2+7s+11=0
Click here to see answer by isharkk(3)

Question 305172: solve the equation in the complex number system
117x^2+1=18x
Click here to see answer by Alan3354(69443)

Question 305225: You are trying to throw a ball over w wire that is 40 feet above ground. The height of the ball is modeled by the equation h= -16t^2+40t+6.Will you be able to throw over the ball?
I got no you won't, but I'm confused on if I did it correctly or not. My teacher wants us to solve using the quadratic formula or factoring, but how do you do that when the equation is already given?
Click here to see answer by scott8148(6628)

Question 305258: x^2 + x^2= (x+2)^2

Click here to see answer by Alan3354(69443)

Question 305229: :49 It says: Solve by completing the square
equation: m^2-25/2m=5/2
the 25/2 is a fraction and the "x" is on the side, and the 5/2 is a fraction as well.
This is what I've tried so far:
I moved the "5/2" to the other side of the equal sign to where it looks like this:
m^2-25/2x-5/2=0
then I've tried to figure out how to square it
Click here to see answer by scott8148(6628)

Question 305315: Solve each equation by graphing.

Click here to see answer by richwmiller(17219)

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