Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 262517: Find the dimensions of the rectangle of greatest area whose perimeter is 20 cm.
Click here to see answer by drk(1908)

Question 262561: I have a word problem that I have no idea how to do. can someone explain the steps to me? Please??
A ball is thrown vertically upward from the ground. Its distance in feet from the ground in t seconds is s=-16t^2+128t. After how many seconds will the ball be 192 feet from the ground?

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

Question 262631: How do you find the X and Y intercepts of a quadratic equation without making a graph?
Click here to see answer by Alan3354(69443)

Question 262670: the length of a flag is twice the width. Find the width of a flag with an area of 1250 cm�
Click here to see answer by mananth(16946)

Question 262600: (1/2)r(r+1)-36=0
Click here to see answer by mananth(16946)

Question 262790: find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function.
f(x)=x^2-4x-1
Please help me solve.
Click here to see answer by drk(1908)

Question 262793: find and label the vertex and the line of symmetry.graph the function.
f(x)=1/2x^2
Click here to see answer by drk(1908)

Question 262792: Solve by completing the square.
m^2-(49/2)m=1/2
the solutions are?
please help me solve.
Click here to see answer by drk(1908)

Question 262791: find and label the vertex and the line of symmetry. Graph the function.
f(x)=2(x-3)^2
please help me solve.
Click here to see answer by drk(1908)

Question 262818: x+3*x^(1/2)-15=5*x^(1/2)
Click here to see answer by drk(1908)

Question 262817: (x+(2/x))/(7-(2/x))=6x
Click here to see answer by drk(1908)

Question 262879: When finding the volume of a box; (20-2x)(16-2x)(x) 1st term(20times16) = 320
3ed term(-2xtimes-2x)=+4x^2

How come the 2ed term is -72x??? I don't see the math. thank you
Click here to see answer by palanisamy(496)

Question 263025: Please explain and solve. Thank you.
A rain gutter is made from sheets of aluminum that are 20 inches wide. Determine the depth of the gutter that will allow a cross-sectional area of 13 square inches. Show that there are 2 different solutions to the problem. Round to the nearest tenth of an inch.
x(20+2x)= 13.
Click here to see answer by stanbon(75887)

Question 263030: I need your help on this problem:
4t^2+9=12t
Click here to see answer by stanbon(75887)

Question 263032: 2y^2+5y=3
Click here to see answer by unlockmath(1688)

Question 263044: Sorry I just wanted to make sure the problem I sumitted earlier was correct.
The correct problem is:2y^2+5y=3
read as follows:2y(squared)+5y=3
did not understand where the x is coming from in the previous solution, there is no x in the problem.
Click here to see answer by stanbon(75887)

Question 263077: Please help!! I am suppose to solve this by square root property
16w^2+27=0
16w(squared)+27=0

Click here to see answer by richwmiller(17219)

Question 263091: 2x^2 +16= -12x
Please help I am so confused
Click here to see answer by jim_thompson5910(35256)

Question 263153: 6x^4-30x^3+48x^2
Click here to see answer by drk(1908)

Question 263183: use the quadratic formula to solve this equation
2x^2-3x=-7
Click here to see answer by drk(1908)

Question 263181: Find the root of the quadratic equation x^2-8x+15=0
Click here to see answer by jim_thompson5910(35256)

Question 263068: Solve x^2-64/x^2+13x+36=
Click here to see answer by Alan3354(69443)

Question 263253: 9x^2+21x-8=0 i can have fractions for an answer
Click here to see answer by jim_thompson5910(35256)

Question 263308: Red birds and blue birds, 30 in all, feasted on worms in my yard. The red birds got 108 worms in total, as did the blue birds. Each blue bird got 3 fewer worms than each red bird. How many blue birds were there?
Click here to see answer by Theo(13342)

Question 263326: Write a quadratic expression having the given numbers as solutions
3/5, -9
Click here to see answer by Alan3354(69443)

Question 263326: Write a quadratic expression having the given numbers as solutions
3/5, -9
Click here to see answer by richwmiller(17219)

Question 263330: Use the discriminant to determine whether the following equations have solutions that are: two different rational solutions; two different irrational solutions; exactly one rational solution; or two different imaginary solutions.
10 - 5a2 = 7a + 9

Click here to see answer by richwmiller(17219)

Question 263232: The sum of two numbers is 60. Find the numbers if their product is a maximum.
Thank you.
Click here to see answer by Alan3354(69443)

Question 263376: can any quadratic function of the form y=ax^2+bx+c be changed into a quadratic function in vertex form by completing a square?
Click here to see answer by drk(1908)

Question 263451: Find the length and midpoint of the line segment between the given points.
P1(7, -2), P2(-4, -1)
Click here to see answer by drk(1908)

Question 263486: I am stuck on finding a quadratic model for (1,-2), (2,-2), (3,-4). I do not know how to put x numbers and y numbers in the formulas and how to solve the answer?
Click here to see answer by stanbon(75887)

Question 263558: 5(x+3)-3(x+4)=2(x-3)
Click here to see answer by drk(1908)

Question 263558: 5(x+3)-3(x+4)=2(x-3)
Click here to see answer by stanbon(75887)

Question 263489: I am stuck on finding a quadratic model for (1,-2), (2,-2), (3,-4). I do not know how to put x numbers and y numbers in the formulas and how to solve the answer? How do you get the three equations with variables a, b, and c?
How do you find the values for a,b, and c?
Thanks!
Click here to see answer by scott8148(6628)

Question 263607: Please help me solve this equation: 6x^2-13x-8=0

Click here to see answer by stanbon(75887)

Question 263607: Please help me solve this equation: 6x^2-13x-8=0

Click here to see answer by richwmiller(17219)

Question 263641: Find all solutions of the equation x^2-8x+3=0
Click here to see answer by jim_thompson5910(35256)

Question 263703: solve the quadratic equation x-2x+4=0
Click here to see answer by JBarnum(2146)

Question 263761: The Question: -10,000+8,000/(1+x)+5,625/(1+x)^2=0
Thank you
Click here to see answer by JBarnum(2146)

Question 263772: Hi,
I have a quadratic factorization question that I don't know how to do...
It's a Year 11 Maths question:
4x^4-37x^2+9
I have to factorize that and I would show you what I've done so far but I have no idea how to do this question...
Thank you so much for your help! :)
Click here to see answer by mananth(16946)

Question 264072: solve 5x^2 = 75
Click here to see answer by checkley77(12844)

Question 264149: Hello, using the quadratic formula, can you help me solve 3x^2-12x+11=0?
Click here to see answer by jim_thompson5910(35256)

Question 264100: 5(x+9)+2= -5(x-1)-1

Click here to see answer by scott8148(6628)

Question 264182: 3r+6-9r=24
Click here to see answer by rfer(16322)

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