Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 1000937: One pair of integer values satisfy the equation x^2+y^2=100 is x=6 and y=8. Find pair of integer values that satisfy x^2+6x+y^2-4y-87=0. Thanks in advance!
Click here to see answer by Cromlix(4381)

Question 1000982: Solve using the quadratic formula. f(x)=x^2+8x-3
Show work please, thanks/.
Click here to see answer by fractalier(6550)

Question 1000983: Solve using the quadratic formula.
g(x)=2x^2-6x-1
Thanks! show work please.
Click here to see answer by MathLover1(20849)

Question 1001059: Hi! I've been stuck on this problem for a while now. If someone could show me how to do this problem, it would be a great help. Thank you! :)
One number is 2 more than 5 times another. Their product is 16. Find the numbers. (There should be 4 values/answers)
Click here to see answer by ankor@dixie-net.com(22740)

Question 1001168: find the consecutive numbers whose squares have sum 35.
Click here to see answer by Alan3354(69443)

Question 1001250: Solve ax^2 + 4a^2 x -12a^3 =0 for x in terms of a by completing the square. Show your steps.
Click here to see answer by KMST(5328)

Question 1001648: X/2+�/5=1
Click here to see answer by macston(5194)

Question 1001662: F(x)=X^2 -X+1
Looking for the discriminat
Click here to see answer by josgarithmetic(39617)

Question 1001704: I already know the graph of f for -1≤x≤5. Now I need to find the value of 'p' in the equation: f(x)=(x-p)^2-3.
Thank you!
Click here to see answer by Theo(13342)

Question 1001964: x-y=2
x^2+y^2=244
Click here to see answer by ikleyn(52779)

Question 1002047: The sum of the lengths of the two perpendicular sides of a right triangle is 30 centimeters. What are their lengths if the square of the hypotenuse is a minimum?
Click here to see answer by addingup(3677)

Question 1002046: Find the value/s of k so that the minimum value of f(x) = x^2 + kx + 3 is the same as the maximum value of g(x) = k + 4x - x2.
Click here to see answer by josgarithmetic(39617)

Question 1002188: Given 2x^2+bx+8, find the values of b so there are no real solutions to the quadratic.
Click here to see answer by MathLover1(20849)

Question 1002190: A dog toy is thrown from 5 inches above the ground. After 2 seconds, the toy reaches a maximum height of 9 inches, and then lands back on the ground 5 seconds after it was thrown. Find the "a" (coefficient of the x^2) and write this in quadratic equation in vertex form, standard form, and factored form.
Click here to see answer by stanbon(75887)

Question 1002189: The hypotenuse of a right triangle is 4 inches longer than one leg and 2 inches longer than the other. Find the dimensions of the triangle. Also, find a reasonable domain for the hypotenuse.
Click here to see answer by stanbon(75887)

Question 1002161: Transform 5+x=4 into 3+x=2
Click here to see answer by jim_thompson5910(35256)

Question 1002233: Find the equation in the form of a(x-h)^2+k:
Turning point: (1,1)
y intercept: 0

Click here to see answer by MathLover1(20849)

Question 1002510: Find the quadratic function that includes the following sets? (0,6) (2,14), (4,-2)
Click here to see answer by josgarithmetic(39617)

Question 1002510: Find the quadratic function that includes the following sets? (0,6) (2,14), (4,-2)
Click here to see answer by Boreal(15235)

Question 1002544: a frame painting has overall dimensions of 32 inches by 29 . the area of the painting itself is 378 squares inches. find the width if the frame
Click here to see answer by josgarithmetic(39617)

Question 1002573: Just wondering how to figure x and y intercepts. One of the equations that's being asked to be solved is
Click here to see answer by josgarithmetic(39617)

Question 1002668: Put the following quadratic equations into vertex form
f(x)=-4x^2-18x+5
Click here to see answer by Boreal(15235)

Question 1002735: What is f(x)=-4x^2-20x+1 in standard form?
Click here to see answer by MathLover1(20849)

Question 1002735: What is f(x)=-4x^2-20x+1 in standard form?
Click here to see answer by fcabanski(1391)

Question 1002895: the difference between 2 numbers is three if the square of the smaller number is equal to 4 times the larger number what is the number?
Click here to see answer by stanbon(75887)

Question 1002955: The height h(in feet) of a model rocket in flight is modeled by h(x) = -5/6x2 + 20x, where x is the horizontal distance from the launch point of the rocket (also in feet). Find the maximum height of the rocket and determine the horizontal distance from the launch point to where the rocket will land.
Click here to see answer by josmiceli(19441)

Question 1002951: 4n^2-5n=3
Click here to see answer by ikleyn(52779)

Question 1002944: 3x/sqrt(18)
Click here to see answer by ikleyn(52779)

Question 1002944: 3x/sqrt(18)
Click here to see answer by Alan3354(69443)

Question 1002989: Y=-3/5x+2
How do I put it in standard form using integers
Algebra1:standard form
Formula: Ax+By=C
Click here to see answer by josgarithmetic(39617)

Question 1003125: The parabola y=ax^2 is reflected from the y-axis. What is the new rule for the parabola?
Here is what i don't get: Why is the parabola rule the same??

Click here to see answer by stanbon(75887)

Question 1003150: If a and B are the root of the equation =0
find the values of
i.
ii.
Click here to see answer by rothauserc(4718)

Question 1003120: a community theater currently sells 200 season ticket at $50 each. in order to increase its season ticket revenue without increasing the number of season tickets that it sells, the theater surveys its season ticket holders to see if they would be willing to pay more. the survey finds that for every $5 increase in the price of a ticket the theater would lose 10 season ticket holders. what function if any, should the theater take to increase revenue?
Click here to see answer by ankor@dixie-net.com(22740)

Question 1003368: Use the method of completing the square to find the standard form of the quadratic function.
f(x) = x^2 + 6x − 1
y=
x=
(x,y)=
Click here to see answer by lwsshak3(11628)

Question 1003127: Given a>0 for what values of k does y=a(x-k)^2+k have?
a) two x-intercepts ?
b) one x intercept ?
c) no x-intercepts?
Please explain why for each one. Thank you.
Click here to see answer by KMST(5328)

Question 1003469: A rancher wishes to enclose a rectangular partitioned corral with 1,944 feet of fencing. What dimensions of the corral would enclose the largest possible area?
Click here to see answer by fractalier(6550)

Question 1003471: Use long division to divide the first polynomial by the second.
8x^3 + 9x^2 − 13x + 29, x + 4
Click here to see answer by Boreal(15235)

Question 1003470: Use the Rational Zero Theorem to list possible rational zeros for the polynomial function. (Enter your answers as a comma-separated list.)
P(x) = x^3 + 2x^2 − 7x − 10
x=
Click here to see answer by fractalier(6550)

Question 1003484: Use the Rational Zero Theorem to list possible rational zeros for the polynomial function. (Enter your answers as a comma-separated list.)
P(x) = x^3 + 2x^2 − 7x − 10
x=
Click here to see answer by fractalier(6550)

Question 1003486: Use Descartes' Rule of Signs to state the number of possible positive and negative real zeros of the polynomial function. (Enter your answers as a comma-separated list.)
P(x) = −2x^3 + x^2 − 29x + 17

number of possible positive real zeros:
number of possible negative real zeros:
Click here to see answer by Boreal(15235)

Question 1003541: What is x over 4 plus -30 greater than -18.
Click here to see answer by Alan3354(69443)

Question 1003483: Use synthetic division and the Remainder Theorem to find P(c).
P(x) = 6x^4 − 7x^2 + 2, c = −3
P(c) =
Click here to see answer by josgarithmetic(39617)

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