Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 432871: I am trying to help my daughter witht his quadractic equation. She has to find the root of the quadratic equation in standard form. y=x^2+7x+12 It has been a long time since I've done this and I need direction to be able to help her with the rest of the problems. Any help would be appreciated!
Click here to see answer by mananth(16946)

Question 432892: Here I go again.....now, with negatives in the problem...I'm stumped!!! I am trying to help my daughter find the root of a quadratic equation using standard form. y=x^2-17x+30. Thanks for your input!!!
Click here to see answer by sudhanshu_kmr(1152)

Question 432923: 8th Grade Algebra Help--

How can one tell if a quadratic equation has no solution using the quadratic formula?
Would an example of a no solution problem be 9+16a^2=24a

Click here to see answer by rfer(16322)

Question 432880: Change the quadratic function into vertex form. Then, give the coordinates of the vertex.
y = x^2+6x+5
Click here to see answer by robertb(5830)

Question 432953: Factor the expression by taking out the greatest common factor.
7a^2b - 28ab^2 + 49a^2b^2
Click here to see answer by rapaljer(4671)

Question 432949: Factor the expression by taking out the greatest common factor.
10x^2 - 7x^3
Please show me the steps to get the answer. Thanks
Click here to see answer by rapaljer(4671)

Question 432952: Factor the expression by taking out the greatest common factor.
7x^3 + 14x^2 - 35x
Please show me the steps to get the answer. Thanks
Click here to see answer by belle3833(46)

Question 432946: Factor the expression by taking out the greatest common factor.
4x - 16
Please show me the steps to get the answer. Thanks
Click here to see answer by belle3833(46)

Question 432950: Factor the expression by taking out the greatest common factor.
11a^2 - 55a^3
Please show me the steps to get the answer. Thanks
Click here to see answer by robertb(5830)

Question 433023: Two more than a number times five less than that number is 18. Find all such numbers.
Click here to see answer by ewatrrr(24785)

Question 433125: Hi I need some help with this problem: Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax^2+bx+c=0. Solution 9, only solution.
thanks
Charmaine
Click here to see answer by stanbon(75887)

Question 433242: Your community wants to put a square fountain in a park. Around the fountain will be a sidewalk that is 3.5ft wide. The total area that the fountain and sidewalk can be is 700ft^2. What are the dimensions of the fountain?
Click here to see answer by josmiceli(19441)

Question 433254: find the roots of the quadratic equation by factoring. X^2-9/4x-25
Click here to see answer by Alan3354(69443)

Question 433255: write the equation for each root. 2, 3
Click here to see answer by Alan3354(69443)

Question 433291: I have a question and hope it does not seem like a silly one. I am studying quadratic equations and the different type of ways to solve them. My question is:
Since the quadratic formula when used to solve quadratic equations always spits out the correct answer, why do we not use only this method rather than even bothering with the other methods?
Click here to see answer by algebrahouse.com(1659)

Question 433239: Hi, I need help with this problem, mainly just how to come up with an equation to use in the Quadratic Formula. Thanks!
The Garys have a triangular pennant of area 420 in^2 flying from the flagpole in their yard. the height of the triangle is 10in less than 5 times the base of the triangle. What are the dimensions of the pennant?
Click here to see answer by scott8148(6628)

Question 433247: 3x2-8x+2=0
Click here to see answer by jorel1380(3719)

Question 433247: 3x2-8x+2=0
Click here to see answer by roe(1)

Question 432931: I need help completing the square of a quadratic equation. ]
(3x^2)+(x)-(1/2)=0
The farthest I got before getting confused was this:
(x+1/2)^2=5/12

Thank you for your time and help! =D
Click here to see answer by ankor@dixie-net.com(22740)

Question 433376: I need more questions like this one to be a better student...
The area of a soccer field is 5500 square yards. The width of the field is 60 yards less than the length. Find the length, in yards, of the field hockey field. Can you direct me to where I might find them on this site? Thanks!
Click here to see answer by stanbon(75887)

Question 433393: Evaluate the discriminant of each equation. How many real and imaginary solutions does it have.
1. 4x^2-4x+1=0
2. x^2-6x+7=0
Click here to see answer by josmiceli(19441)

Question 433448: The height of a right triangle is 6 inches longer than the base. The area of the triangle is 108 sq in.
Find the measures of the triangles base and height.
Click here to see answer by nerdybill(7384)

Question 433461: I want to know how to factor 7m+7n+28
Click here to see answer by Alan3354(69443)

Question 433700: I need your help on this quadratic formula question. You have to solve it using the formula. the problem is 10x squared-5x+5=-25x it has to be set equal to zero beforing solving. I am getting a little stuck half way through, i would really appreciate your help.
Click here to see answer by psbhowmick(878)

Question 433773: I need help solving this quadratic equation. Every answer that I get looks nothing like the answer in the book.
f(x)= -6x^2+8x+9
Click here to see answer by psbhowmick(878)

Question 433863: I need a little help if anyone has a few moments. I need to write a quadratic equation with these two answers:
x=1 or x=6
Any help would be great. I just seem to be getting these wrong.
Click here to see answer by stanbon(75887)

Question 433865: I have a tough one, well, tough for me. I have to write a quadratic equation with these two answers:
sqrt4 or -3/4.
Can someone help me?
Click here to see answer by josmiceli(19441)

Question 433992: How do you solve the following problem:
Jeffery has 48 feet of fencing to make a rectangle dg pen. If a houses used for one side of the pen, what would the length and width for maximum area?
Click here to see answer by shree840(260)

Question 434240: Hi,
How can I factor this polynomial?
-18xy^3+27x^4y
thanks
Paola
Click here to see answer by Gogonati(855)

Question 434323: How to write a quadratic equation when given the solutions _10,7
Click here to see answer by stanbon(75887)

Question 434333: Make a graph of y=6^2-4x-3
Click here to see answer by stanbon(75887)

Question 434383: Solve each quadratic equation.
1. x^2+3x=-5
2. x^2-36=0
3. 2x^2-4x+10=0

Click here to see answer by edjones(8007)

Question 434414: PLEASE SOLVE EACH QUADRATIC EQUATION.
1. x^2+3x=-5
2. x^2-36=0
3. 2x^2-4x+10=0

Click here to see answer by edjones(8007)

Question 434411: Solve the following system of linear equations by graphing. (If the system has no solution, enter NONE for each answer. If the system is dependent, enter INFINITELY MANY for each answer.)
x-y=4
3x-3y=12
x = ?
y = ?
Please show me the steps to get the answer. Thanks
Click here to see answer by Alan3354(69443)

Question 434435: y2-4y-45=o
I need help solving this my teacher went through it in class but i still don't get it please go through it step by step. Thank you :)
Click here to see answer by edjones(8007)

Question 434422: Solve the following system of linear equations by graphing. (If the system has no solution, enter NONE for each answer. If the system is dependent, enter INFINITELY MANY for each answer.)
6x-2y=6
x-y=3
x = ?
y = ?
Please show me the steps to get the answer. Thanks
Click here to see answer by mananth(16946)

Question 434479: during the first part of the trip, a canoeist travels 30 miles at a certain speed. the canoeist travels 16 miles on the second part of the trip at a speed 5mph slower.t he total time for the trip is 5 hrs. what was the speed on each part of the trip
Click here to see answer by mananth(16946)

Question 434598: Solve. 20-x^2=4
Click here to see answer by jsmallt9(3758)

Question 434657: I need to know if x^2-9x-10,000=0 can be factored. And what would it be factored into?
Thanks,
Jennifer

Click here to see answer by psbhowmick(878)

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