Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 912647: ax^2+(a+1)x+(a-1) = 0
I need to solve this equation for x. I've been trying to factor it to no avail... Honestly I don't even know where to start. I tried factoring out an x, only to realize that there is no x in the last term. I'm so stuck, please help!

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Question 912647: ax^2+(a+1)x+(a-1) = 0
I need to solve this equation for x. I've been trying to factor it to no avail... Honestly I don't even know where to start. I tried factoring out an x, only to realize that there is no x in the last term. I'm so stuck, please help!

Click here to see answer by josgarithmetic(39613) About Me 

Question 912717: The demand function for a new product is
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Question 912800: Solve the equation by extracting the square root.
-7(x^2-10)^2-6=-258

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Question 912823: Solve by factoring
(Squareroot of 2x)+5=x+1

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Question 912969: solve for y, where y is a real number sqrt(-5y-24)
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Question 912969: solve for y, where y is a real number sqrt(-5y-24)
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Question 912993: The sum of 4x^2-3x+6 and -7x^2+3x+6
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Question 913239: h(x)=2x^2+6x+25
Find the vertex and axis of symmetry.

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Question 913239: h(x)=2x^2+6x+25
Find the vertex and axis of symmetry.

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Question 913241: Find the equation of the quadratic with vertex (-3,-5) that passes through the point (2,4)

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Question 913252: 1. in 10 hours
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Question 913280: 3^x=729
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Question 913313: 1. One number is greater by 6 than twice another number, but 3 times the smaller number exceeds the greater by one. find the numbers
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Question 913310: 1. In 10 hours A walks 5 miles more than B does in the same time; & in 8 hours B walks 8 miles more than A does in 4 hours. How many miles does each walk per hour?
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Question 913316: The perimeter of a rectangle is 32m. The length of the diagonal is 8 m more than its width. Find the dimensions of the rectangle.
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Question 913364: 1. a person with a monthly income Rs.1056 spends as much in 4 months as he earns in three. after 12 years he divides his savings among his three children in such a manner that the eldest has twice as much as the second & thrice as much as the youngest. how much did each receive?
Click here to see answer by stanbon(75887) About Me 

Question 913334: Good day
my question is
Resolve the following into factors
3x3 - 7x2 = 4
"Test your answers"
Thanks :)

Click here to see answer by Alan3354(69443) About Me 

Question 913408: Which of the following are the solutions to the function: f(x) = (x + 2)^2 - 9
A) +/- 3
B) -1, 5
C) 1, -5
D) +/- 5

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Question 913408: Which of the following are the solutions to the function: f(x) = (x + 2)^2 - 9
A) +/- 3
B) -1, 5
C) 1, -5
D) +/- 5

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Question 913586: N🈷
N squared minus 6n equals 0

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Question 913765: x-1/x=3. find roots by factorisation method.
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Question 913639: Simplify 16 ÷ 2(8 - 3(4 - 2)) + 3
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Question 914027: Find all the possible values of the perimeter of the rectangle.Express your answer as an inequality.Width:8-3x, length 5x-2
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Question 914039: I am trying to solve each system by graphing I would like to know if I am solving this correctly problem -5x+4y=-16
x+4y=8
-5_+_4y = 16
4 4 4
y=x12
y= -5x+8
4 4
Answer -3

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Question 914011: each point lies on a parabola that has its vertex at (0,1). Write the equation of the parabola. Indicate whether the graph opens up or down. Parabola is (2,-1)
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Question 914313: Solve:
2x+1/x-3 = 0

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Question 914364: A gardener makes a rectangular flower bed square by taking two feet off its length and adding three feet to its breath. By doing so he increases the area by 20 square feet. What is its final area?


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Question 914436: Given these two equations : f(x)=x^2-6x+9 and g(x)=-3x-5, change the slope of the line so that it will intersect the parabola in two locations.
What I have done so far:
Let f(x)=g(x)
x^2-6x+9=-3x-5
x^2-3x+14=0
Then I calculated the discriminant to see how many solutions it would have.
D=b^2-4ac
D=(-3)^2-4(1)(14)
D=9-56
D=-47
Since the discriminant is -47, therefore there are no real solutions to x^2-3x+14=0, which means that f(x) and g(x) never intersect.
What I did for the second part was represent the slope of the second equation with the variable "m".
f(x)=x^2-6x+9
g(x)=mx-5
Let f(x)=g(x)
x^2-6x+9=mx-5
x^2-6x-mx+9+5=0
x^2-(6-m)x+14=0
a=1, b=-6-m, c=14
Sub a, b and c into discriminant equation
D=b^2-4ac
D=(-6-m)(-6-m)-4(1)(14)
D=36+6m+6m+m^2-56
D=m^2+12m-20
This cannot be factored, so I don't know what to do next!
Thanks

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Question 914911: what is the answer to y=2x^2+8x+5 in the form : a(x-h)^2 + k
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Question 914919: Sqrt 5^(8h)=125^(n+5)
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Question 915244: y=x^2+16x+71
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Question 914680: Determine the value of k such that g(x)= 3x + k intersects the quadratic function f(x)=2x^2-5x+3 at exactly one point.
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Question 914680: Determine the value of k such that g(x)= 3x + k intersects the quadratic function f(x)=2x^2-5x+3 at exactly one point.
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Question 915359: If one of the factors of the quadratic expression x^2 + x - 56 is (x+7), then what is the value of k?
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Question 915359: If one of the factors of the quadratic expression x^2 + x - 56 is (x+7), then what is the value of k?
Click here to see answer by josgarithmetic(39613) About Me 

Question 915448: I need help trying to solve this problem. Thank you in advance, for helping me out. I really appreciate your time and efforts. Have a terrific day :) Here is the question? Factor:
m(p-q)- 5(p-q)

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Question 915444: I need help trying to solve this problem. Thank you in advance, for helping me out. I really appreciate your time and efforts. Have a terrific day :) Here is the question? Factor each polynomial by factoring out the opposite of the GCF:
-28a^5 - 42a^4 + 14a^3

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Question 915452: I need help trying to solve this problem. Thank you in advance, for helping me out. I really appreciate your time and efforts. Have a terrific day :) Here is the question? Factor:
m^3 + 5m^2 + m + 5

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Question 915451: I need help trying to solve this problem. Thank you in advance, for helping me out. I really appreciate your time and efforts. Have a terrific day :) Here is the question? Factor:
39r^3 + 26r^2

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Question 915449: I need help trying to solve this problem. Thank you in advance, for helping me out. I really appreciate your time and efforts. Have a terrific day :) Here is the question? Factor by grouping:
6a^3 - a^2 + 18^a - 3

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Question 915588: What is the ? In the following equation
20+5×(?+6)-12÷2=64

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Question 915633: Suppose the function h=-16t^2+38t models the height h in feet of a ball at a time t in seconds. Can the ball reach 25 feet? 20ft? What is the max height of the ball and how long will it take to get there? Please show work!
Click here to see answer by josmiceli(19441) About Me 

Question 915746: I need help trying to solve this problem. Thank you in advance, for helping me out. I really appreciate your time and efforts. Have a terrific day :) Here is the question? Choose the correct method to factor each of the following:
6t^2 - 18t - 24

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Question 915744: I need help trying to solve this problem. Thank you in advance, for helping me out. I really appreciate your time and efforts. Have a terrific day :) Here is the question? Choose the correct method to factor each of the following:
-r^2 + 14 - 45

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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