Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 1086039: If the parabola y_1 = x^2 + 2x + 7 and the line y_2 = 6x + b intersect at only one point, what is the value of b?
Click here to see answer by ikleyn(52780)

Question 1086043: There are two distinct solutions x to the equation 18+5x^2=20x. If each solution is rounded to the nearest integer, and then these two integers are multiplied together, what is the result?
Click here to see answer by MathLover1(20849)

Question 1086042: If we express 3x^2 + x - 4 in the form a(x - h)^2 + k, then what is k?
Click here to see answer by MathLover1(20849)

Question 1086048: If the two roots of the quadratic 7x^2+3x+k$ are (-3�isqrt(299))/14, what is k?
Click here to see answer by ikleyn(52780)

Question 1086048: If the two roots of the quadratic 7x^2+3x+k$ are (-3�isqrt(299))/14, what is k?
Click here to see answer by MathTherapy(10552)

Question 1086050: The number x satisfies 5x^2 + 4 = 3x + 9. Find the value of (10x - 3)^2.
Click here to see answer by Boreal(15235)

Question 1086136: Find all pairs of real numbers (x,y) such that x + y = 6 and x^2 + y^2 = 28. If you find more than one pair, then list your pairs in order by increasing x value, separated by commas. For example, to enter the solutions (2,4) and (-3,9), you would enter "(-3,9),(2,4)" (without the quotation marks).
*((3-sqrt5),(3-sqrt5))((3+sqrt5),(3+sqrt5)) is not the answer
Click here to see answer by Fombitz(32388)

Question 1086134: Suppose a and x satisfy x^2 + (a-1/a)x - 1 = 0. Solve for x in terms of a.
Click here to see answer by Fombitz(32388)

Question 1086133: The number x satisfies 5x^2 + 4 = 3x + 9. Find the value of (10x - 3)^2.
Click here to see answer by addingup(3677)

Question 1086133: The number x satisfies 5x^2 + 4 = 3x + 9. Find the value of (10x - 3)^2.
Click here to see answer by htmentor(1343)

Question 1086133: The number x satisfies 5x^2 + 4 = 3x + 9. Find the value of (10x - 3)^2.
Click here to see answer by ikleyn(52780)

Question 1086139: Suppose a and x satisfy x^2 + (a-(1/a))x - 1 = 0. Solve for x in terms of a.
*That's a quadratic in x
Click here to see answer by Fombitz(32388)

Question 1086139: Suppose a and x satisfy x^2 + (a-(1/a))x - 1 = 0. Solve for x in terms of a.
*That's a quadratic in x
Click here to see answer by ikleyn(52780)

Question 1086206: 9x� + 16 = 0 is the given. How can i get the roots of this?
Click here to see answer by josgarithmetic(39617)

Question 1086261: Least common denominator of
1/5a^2x, 1/12a^3x^2, and 1/2ax^4
Click here to see answer by Fombitz(32388)

Question 1086283: 3x� -9x-6=0
Click here to see answer by josgarithmetic(39617)

Question 1086283: 3x� -9x-6=0
Click here to see answer by MathLover1(20849)

Question 1086466: If the quadratic equation x2+4x+k=0,has real and discint roots,find the value of k.
Click here to see answer by josgarithmetic(39617)

Question 1086466: If the quadratic equation x2+4x+k=0,has real and discint roots,find the value of k.
Click here to see answer by ikleyn(52780)

Question 1086605: Given Quadratic Equations have positive and negative solutions, solve the following and list negative solutions:
a) n^2+(n+1)^2=13
b) n+(n+1)(n+2)=14
c) n(n+2)+n+5=15
Click here to see answer by ikleyn(52780)

Question 1086686: How do i write the cheking for this equation 2x^2+11x+15=0
Click here to see answer by Alan3354(69443)

Question 1086728: Solve by completing the squares
x^2-(3/x)x=7/16
Note that the x outside the parentheses is the variable of the fraction.

Click here to see answer by Edwin McCravy(20055)

Question 1086710: 2/b+4 = 2b/b�-16 - 3b+2/4-b
Click here to see answer by Alan3354(69443)

Question 1086769: The diagonal of a rectangular room is 13 ft long. One wall measures 7 ft longer than the adjacent wall. Find the dimensions of the room.
The width of the room is?
The length of the room is?
Click here to see answer by MathLover1(20849)

Question 1086768: A toy manufacturer needs a piece of plastic in the shape of a right triangle with the longer leg 4 cm more than the shorter leg and the hypotenuse 8 cm more than the shorter leg. How long should the sides of the triangle be?
The sides are?
Click here to see answer by jorel1380(3719)

Question 1086767: Several hours after departure the two ships described to the right are 340 miles apart. If the ship traveling south traveled 140 miles farther than the other, how many miles did they each travel?
How far did the eastbound ship travel?
How far did the southbound ship travel? x+140
Click here to see answer by stanbon(75887)

Question 1086779: Use the quadratic formula to solve:

Click here to see answer by josgarithmetic(39617)

Question 1086777: First multiply by 4 then complete the square.

Click here to see answer by josgarithmetic(39617)

Question 1086778: use a difference of squares method to solve the following:
then substitute A=x-2.5
Click here to see answer by Theo(13342)

Question 1086832: 4ax+by=11ab
8ax-5by=ab
Solve for x and y
Click here to see answer by Fombitz(32388)

Question 1086832: 4ax+by=11ab
8ax-5by=ab
Solve for x and y
Click here to see answer by Boreal(15235)

Question 1086832: 4ax+by=11ab
8ax-5by=ab
Solve for x and y
Click here to see answer by MathTherapy(10552)

Question 1086844: Bicyclists Mia and Pia leave the same point P at the same time at right angles. Pia travels 7 km/h faster than Mia. After three hours, they are 39 km apart. Find the speed of each cyclist.
Click here to see answer by Fombitz(32388)

Question 1086882: The sum of two number is 7 and the product is negative 60
Click here to see answer by MathLover1(20849)

Question 1086691: A student has computed that it takes an average (mean) of 17 minutes with a standard deviation of 3 minutes to drive from home, park the car, and walk to an early morning class. One day it took the student 21 minutes to get to class. How many standard deviations from the average is that?
Click here to see answer by Fombitz(32388)

Question 1086881: The sum of two number is 7 and the product is negative 60
Click here to see answer by Fombitz(32388)

Question 1086709: 3y/y�-3y-4 + 3/4-y = 1-y/2y�-11y+12
Click here to see answer by ikleyn(52780)

Question 1087038: Step by step solving of the following equation:

Click here to see answer by ikleyn(52780)

Question 1087038: Step by step solving of the following equation:

Click here to see answer by Alan3354(69443)

Question 1087252: Solve the equation by factoring. Show the complete solution.
x^2+4x-8=0
Click here to see answer by jim_thompson5910(35256)

Question 1087251: Solve the equation by factoring. Show the complete solution.
10x^2+7x-12=0
Click here to see answer by rothauserc(4718)

Question 1087250: Solve the equation by factoring. Show the complete solution.
x^2+5x-6=0
Click here to see answer by rothauserc(4718)

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