Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 100955: Solve the equation by completing the square
x^2 + 16x + 43 = 0
Click here to see answer by tutorcecilia(2152)

Question 100953: Use the square root property to solve the following equations
(x - 2)^2 = 25
Click here to see answer by tutorcecilia(2152)

Question 100950: Use the square root property to solve the following equations
x^2 = 169
Click here to see answer by tutorcecilia(2152)

Question 100957: Solve the equation by completing the square
x^2 + 15 = -10x
Click here to see answer by edjones(8007)

Question 100957: Solve the equation by completing the square
x^2 + 15 = -10x
Click here to see answer by jim_thompson5910(35256)

Question 100956: Solve the equation by completing the square
x^2 + 12x = -3
Click here to see answer by jim_thompson5910(35256)

Question 100954: Solve the equation by completing the square
x^2 + 4x - 21 = 0
Click here to see answer by jim_thompson5910(35256)

Question 100952: Use the square root property to solve the following equations
5x^2 - 65 = 0
Click here to see answer by Nate(3500)

Question 100951: Use the square root property to solve the following equations
x^2 - 12 = 0
Click here to see answer by Nate(3500)

Question 100943: ax^2-(2a+1)x+(a+1)=0
Then the product x1x2 is equal to:
I know I have to use the quadratic formula: x=-b+-sqrt of b^2-4ac/2a
Ahhhh this is a hard one
Click here to see answer by scott8148(6628)

Question 100878: Hello, thank you for taking the time to reply to my email. I am currently enrolled in a precalculus class and I had a question. The quadratic equation is Ax^2+Bx+C=0, but how do you use the quadratic formula if C is 0. I was told to eliminate it, since the number in the square root sign then just becomes B^2. Can you please explain why you can eliminate C? ( use an example please)
Click here to see answer by scott8148(6628)

Question 101020: x(x+1)=14
Click here to see answer by edjones(8007)

Question 101017: Use the quadratic formula to solve the following equations
x^2 + 16x + 53 = 0
Click here to see answer by edjones(8007)

Question 100516: Solve the equations. check the solutions.
sqrt 2y+7+4=y
Click here to see answer by edjones(8007)

Question 101018: Use the quadratic formula to solve the following equations
2x^2 + 12x = -5
Click here to see answer by checkley71(8403)

Question 101014: Use the quadratic formula to solve the following equations
x^2 + 7x + 6 = 0
Click here to see answer by doukungfoo(195)

Question 100514: Solve each the equations. check the solutions.
sqrt 4x+3+1=0
Click here to see answer by mizzmake2(3)

Question 101208: how do you find a and b and c of a quadratic equation? I have data that is:
when x is 0, y is 1,.
when x is 1, y is 2.
when x is 2, y is 4.
when x is 3, y is 7.
when x is 4, y is 11.
when x is 5, y is 16.
and I have to write an equation for this data, which is quadratic I think. I don't know how to find a and b and c of the equation.
Click here to see answer by stanbon(75887)

Question 101124: i want to ask how to solve this problems . i want u to explain me the whole question n then give a solution to it. my ques is
show that my=x^2-4(x-1) meets the curve y=x^2-3x+2 at two distinct points for all non zero values of m.i would be very grateful to u if u solve this ques for me.this ques is nt from text book.

Click here to see answer by stanbon(75887)

Question 101123: A student did a word processing job for $24. It took him 1 hour longer than he expected, and therefore he earned $4 per hour less than he anticipated. How long did he expect that it would take to do the job?
Click here to see answer by scott8148(6628)

Question 101267: In the equation x2+mx+k =0, what relation exists between m and k if one of the roots is twice the other?
Click here to see answer by stanbon(75887)

Question 101310: trying to figure out how to work the problem out my soultion to #54 was x=-3+/- square root of 14,
#74, my answer came out to be 1+/-i and 8 under the square root,
#108, my answer was x= 4 +/- and 6 under the sqaure root
Click here to see answer by elima(1433)

Question 101332: Use the quadratic formula to solve the following equations
x^2 - 22x + 121 = 0
Click here to see answer by jim_thompson5910(35256)

Question 101329: Use the quadratic formula to solve the following equations
4x^2 = -12x - 3
Click here to see answer by jim_thompson5910(35256)

Question 101265: find an equation whose roots are 1 more tahn the roots of6x2+1x-1 =0
Click here to see answer by ankor@dixie-net.com(22740)

Question 101330: Use the quadratic formula to solve the following equations
2x^2 - (/7)x - 1 = 0
Click here to see answer by jim_thompson5910(35256)

Question 101116: Find two numbers such that their sum is 10 and their product is 22.
Click here to see answer by edjones(8007)

Question 101479: 7X2-17X+6=O
Click here to see answer by jim_thompson5910(35256)

Question 101538: An ecology center wants to set up an experimental garden using 300 m of fencing to enclose a rectangular area of 5000 m^2. Find the dimensions of the garden.
Click here to see answer by Earlsdon(6294)

Question 101646: Identify the axis of symmetry, create a suitable table of values, and sketch the graph. I am having difficulty creating the table.
y=x^2-5x+3
Thank you so much for any help you can give me.
Click here to see answer by stanbon(75887)

Question 101703: find the following product
(x - 9)(x - 8)
Click here to see answer by stanbon(75887)

Question 101690: Solve the equation by completing the square
x^2 - 14x + 24 = 0
Click here to see answer by scott8148(6628)

Question 101697: Use the quadratic formula to solve the equation.

3x^2 - 4x - 7 = 0
Click here to see answer by jim_thompson5910(35256)

Question 101696: Use the quadratic formula to solve the equation.

x^2 + 2x - 8 = 0

Click here to see answer by jim_thompson5910(35256)

Question 101735: x(.10)-[.12(10000-x)]=540
Click here to see answer by Fombitz(32388)

Question 101758: 3/4s^2+1/2s+1/12=0
Click here to see answer by MathLover1(20849)

Question 101897: solve for x using the quadratic formula x2+8x-5=0
Click here to see answer by edjones(8007)

Question 102153: Please help me solve correctly and show algebraic support.
(X + 4)^(1/2) = X-6
I am so lost. Thank you so much.
Click here to see answer by checkley75(3666)

Question 102153: Please help me solve correctly and show algebraic support.
(X + 4)^(1/2) = X-6
I am so lost. Thank you so much.
Click here to see answer by stanbon(75887)

Question 102279: decide all values of b in the following equations that will
give one or more real number solutions.
(a) 3x^2 + bx - 3 = 0
(b) 5x^2 + bx + 1 = 0
(c) -3x^2 + bx - 3 = 0
Click here to see answer by stanbon(75887)

Question 101960: a garden area is 30ft long and 20ft wide. A path uniform width is set around the edge. if the remaining garden is 400 ft squared, what is the width of the path
Click here to see answer by ankor@dixie-net.com(22740)

Question 102226: 5xsquared-x to the 4th +4=0
Click here to see answer by edjones(8007)

Question 102395: Use the quadratic formula to solve the equation.
3x^2 - 4x - 7 = 0
Click here to see answer by jim_thompson5910(35256)

Question 102394: Use the quadratic formula to solve the equation.
x^2 + 2x - 8 = 0
Click here to see answer by jim_thompson5910(35256)

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, 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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