Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 1209165: Find all solutions to the equation x^2 - 11x - 42 = -2x + 10 + x^2 + 17x - 13.
Click here to see answer by greenestamps(13200)

Question 1209165: Find all solutions to the equation x^2 - 11x - 42 = -2x + 10 + x^2 + 17x - 13.
Click here to see answer by ikleyn(52785)

Question 1209164: For what real values of c is 4x^2 + 5x^2 + 14x + 6x - 8x^2 + c the square of a binomial?
Click here to see answer by greenestamps(13200)

Question 1209109: Find all values of x such that
9(x + 3) = -\frac{8}{x} + \frac{2}{x - 5}.
If you find more than one value, then list your solutions, separated by commas.
Click here to see answer by yurtman(42)

Question 1209110: Find all values of x such that
9(x + 3) = -\frac{8}{x} + \frac{5}{x + 1}
If you find more than one value, then list your solutions, separated by commas.
Click here to see answer by yurtman(42)

Question 1209113: Find all values of x such that
\frac{2x}{x + 2} = \frac{x - 3}{x - 4} + \frac{2x + 7}{x + 1}.
If you find more than one value, then list your solutions, separated by commas.
Click here to see answer by yurtman(42)

Question 1209216: Fill in the blanks to make a quadratic whose roots are -5 and 5.
x^2 + ___ x + ___
Click here to see answer by ikleyn(52785)

Question 1209216: Fill in the blanks to make a quadratic whose roots are -5 and 5.
x^2 + ___ x + ___
Click here to see answer by math_tutor2020(3817)

Question 1209215: Find the largest value of x such that 3x^2 + 17x + 15 = 2x^2 + 21x + 12 - 5x^2 + 17x + 34.
Click here to see answer by ikleyn(52785)

Question 1209218: Let a and b be the solutions to 5x^2 - 11x + 4 = -x^2 + 5x - 3. Find
a^2/b + b^2/a
Click here to see answer by math_tutor2020(3817)

Question 1209218: Let a and b be the solutions to 5x^2 - 11x + 4 = -x^2 + 5x - 3. Find
a^2/b + b^2/a
Click here to see answer by ikleyn(52785)

Question 1209219: Let u and v be the solutions to 3x^2 + 5x + 7 = x^2 + 8x - 2. Find
1/u^3 + 1/v^3
Click here to see answer by math_tutor2020(3817)

Question 1209226: Let a and b be the solutions to 7x^2 + x - 5 = 0. Compute (a - 4) + (b - 4).
Click here to see answer by ikleyn(52785)

Question 1209227: Let a and b be the roots of the quadratic x^2 - 5x + 3 = 0. Find the quadratic whose roots are a^2/b and b^2/a.
x^2 + ___ x + ___
Click here to see answer by ikleyn(52785)

Question 1209228: Let a and b be the roots of the quadratic 2x^2 - 8x + 7 = -3x^2 + 15x + 11. Compute 1/a^2 + 1/b^2.
Click here to see answer by greenestamps(13200)

Question 1209228: Let a and b be the roots of the quadratic 2x^2 - 8x + 7 = -3x^2 + 15x + 11. Compute 1/a^2 + 1/b^2.
Click here to see answer by ikleyn(52785)

Question 1209228: Let a and b be the roots of the quadratic 2x^2 - 8x + 7 = -3x^2 + 15x + 11. Compute 1/a^2 + 1/b^2.
Click here to see answer by math_tutor2020(3817)

Question 1209239: what number multiplies to get -432 and adds to get 6
Click here to see answer by math_tutor2020(3817)

Question 1209239: what number multiplies to get -432 and adds to get 6
Click here to see answer by greenestamps(13200)

Question 1209239: what number multiplies to get -432 and adds to get 6
Click here to see answer by ikleyn(52785)

Question 1209239: what number multiplies to get -432 and adds to get 6
Click here to see answer by josgarithmetic(39617)

Question 1209249: Find the smallest value of x such that x^2 + 10x + 25 = -x^2 + 5x + 32.
Click here to see answer by Edwin McCravy(20056)

Question 1209249: Find the smallest value of x such that x^2 + 10x + 25 = -x^2 + 5x + 32.
Click here to see answer by ikleyn(52785)

Question 1209248: Find the constant k such that the quadratic 2x^2 + 3x - 20x + 3x^2 + k has a double root.
Click here to see answer by Edwin McCravy(20056)

Question 1209248: Find the constant k such that the quadratic 2x^2 + 3x - 20x + 3x^2 + k has a double root.
Click here to see answer by mccravyedwin(407)

Question 1209245: Find the solutions to x^2 + 64 = 19x. Enter your answers separated by commas.
Click here to see answer by ikleyn(52785)

Question 1209247: Find the constant p such that x^2 - 5x - 14x + x^2 + p is the square of a binomial.
Click here to see answer by ikleyn(52785)

Question 1209257: The solutions to
2x^2 - 10x + 13 = -17x^2 - 14x - 28
are a+bi and a-bi, where a and b are positive. What is a + b?
Click here to see answer by ikleyn(52785)

Question 1209257: The solutions to
2x^2 - 10x + 13 = -17x^2 - 14x - 28
are a+bi and a-bi, where a and b are positive. What is a + b?
Click here to see answer by math_tutor2020(3817)

Question 1209259: Find the discriminant of the quadratic 5x^2 - 2x + 8 - 4x^2 - 13x - 14.
Click here to see answer by ikleyn(52785)

Question 1209256: Find all the solutions to x^2 + 6x + 13 = -5x^2 - 17x - 18.
Click here to see answer by ikleyn(52785)

Question 1209256: Find all the solutions to x^2 + 6x + 13 = -5x^2 - 17x - 18.
Click here to see answer by mccravyedwin(407)

Question 1209255: The roots of Ax^2+Bx+1 are the same as the roots of x^2 - 3x + 5 + 4x^2 - x - 4. What is A+B?
Click here to see answer by ikleyn(52785)

Question 1209255: The roots of Ax^2+Bx+1 are the same as the roots of x^2 - 3x + 5 + 4x^2 - x - 4. What is A+B?
Click here to see answer by mccravyedwin(407)

Question 1209267: Find the largest integer k such that the equation
5x^2 - kx + 8 + 8x^2 - 17 = 0
has no real solutions.
Click here to see answer by ikleyn(52785)

Question 1209268: Fill in the blanks with numbers to make a true equation.
3x^2 + 12x + 4 - 17x^2 - 18x + 22 = ___ (x + ___)^2 + ___
Click here to see answer by asinus(45)

Question 1209299: For an integer n, the inequality
x^2 + nx + 15 < -21 - 3x^2 - 85
has no real solutions in x. Find the number of different possible values of n.
Click here to see answer by ikleyn(52785)

Question 1209301: What real value of t produces the smallest value of the quadratic t^2 -9t - 36 + 8t^2 + 55t + 41?
Click here to see answer by math_tutor2020(3817)

Question 1209302: If s is a real number, then what is the smallest possible value of
2s^2 - 8s + 19 + 11s^2 - 17s - 60? Explain by completing the square.
Click here to see answer by mccravyedwin(407)

Question 1209304: The Art of Problem Solving has begun selling a cookbook called "What Would Euler Eat?" If the price of the cookbook is n dollars (n \le 10), then it will sell 100 - 10n copies. What price per book (in dollars) will maximize the total revenue we receive for all the books sold?
Click here to see answer by ikleyn(52785)

Question 1209306: Let x and y be nonnegative real numbers. If xy = 4/3, then find the minimum value of 2x + 6y + x^2 + 3y^2.

Click here to see answer by math_tutor2020(3817)

Question 1209305: The temperature of a point (x,y) in the plane is given by the expression x^2 + y^2 - 4x + 2y + 3x^2 + 4y^2 - 12x + 15y + 24. What is the temperature of the coldest point in the plane?
Click here to see answer by math_tutor2020(3817)

Question 1209303: If t is a real number, what is the maximum possible value of the expression -t^2 + 8t -4 - 5t^2 + 14t + 55?
Click here to see answer by josgarithmetic(39617)

Question 1209303: If t is a real number, what is the maximum possible value of the expression -t^2 + 8t -4 - 5t^2 + 14t + 55?
Click here to see answer by math_tutor2020(3817)

Question 1209303: If t is a real number, what is the maximum possible value of the expression -t^2 + 8t -4 - 5t^2 + 14t + 55?
Click here to see answer by mccravyedwin(407)

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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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, 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