Questions on Algebra: Quadratic Equation answered by real tutors!

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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) About Me 
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(52781) About Me 

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) About Me 

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) About Me 

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) About Me 

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) About Me 

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(52781) About Me 
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) About Me 

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(52781) About Me 

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) About Me 
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(52781) About Me 

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) About Me 

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(52781) About Me 

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(52781) About Me 

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) About Me 
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(52781) About Me 
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) About Me 

Question 1209239: what number multiplies to get -432 and adds to get 6
Click here to see answer by math_tutor2020(3817) About Me 
Question 1209239: what number multiplies to get -432 and adds to get 6
Click here to see answer by greenestamps(13200) About Me 
Question 1209239: what number multiplies to get -432 and adds to get 6
Click here to see answer by ikleyn(52781) About Me 
Question 1209239: what number multiplies to get -432 and adds to get 6
Click here to see answer by josgarithmetic(39617) About Me 

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(20055) About Me 
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(52781) About Me 

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(20055) About Me 
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) About Me 

Question 1209245: Find the solutions to x^2 + 64 = 19x. Enter your answers separated by commas.
Click here to see answer by ikleyn(52781) About Me 

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(52781) About Me 

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(52781) About Me 
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) About Me 

Question 1209259: Find the discriminant of the quadratic 5x^2 - 2x + 8 - 4x^2 - 13x - 14.
Click here to see answer by ikleyn(52781) About Me 

Question 1209256: Find all the solutions to x^2 + 6x + 13 = -5x^2 - 17x - 18.
Click here to see answer by ikleyn(52781) About Me 
Question 1209256: Find all the solutions to x^2 + 6x + 13 = -5x^2 - 17x - 18.
Click here to see answer by mccravyedwin(407) About Me 

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(52781) About Me 
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) About Me 

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(52781) About Me 

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) About Me 

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(52781) About Me 

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) About Me 

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) About Me 

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(52781) About Me 

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) About Me 

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) About Me 

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) About Me 
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) About Me 
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) About Me 

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