Questions on Algebra: Quadratic Equation answered by real tutors!

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> Questions on Algebra: Quadratic Equation answered by real tutors!      Log On


   



Tutors Answer Your Questions about Quadratic Equations (FREE)


Question 357759: (x+1)2-4=0
Click here to see answer by mananth(16946) About Me 

Question 357829: Find the value of k on x^2+3x+k-1=0 if the quadratic equation has:
a) equal roots
b) one root -3
thanks :)

Click here to see answer by Fombitz(32388) About Me 

Question 357825: Morning,
I am looking at a couple of questions on an problem sheet, on partial fractions.
Express the following in partial fractions
a) x+4/(2x+5)(x+2)
b) 1/(x+1)(x^2-1)
Ok so i have had a look at both questions, part a i think i may have conquered, i got an answer of
x+4/(2x+5)(x+2)= (1.5/-0.5(2x+5)) + (2/(x+2))
But the part b, i dont know where to go with?
Any responces would be greatly recieved.
Thanks
Mike

Click here to see answer by Fombitz(32388) About Me 

Question 357824: Hi everyone,
Really struggling with this question, would welcome any help ?
Q. Sketch the following curves, indicating clearly the points of intersection with the x-axis.
i) y=x^2-6x+5
ii) y=x^3+4x^2+3x

Thanks

Click here to see answer by Fombitz(32388) About Me 

Question 357861: Use the quadratic formula to solve the equation.

2x^2 -5x = -10

The solution set is ???

Click here to see answer by Fombitz(32388) About Me 

Question 357820: Find the value of k in x^2+3x+k-1=0 if the quadratic equation has:
a) equal roots
b) one root is -3
thanks :)

Click here to see answer by Fombitz(32388) About Me 

Question 357902: Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard ax^2 + bx + c = 0

Solution 6, only solution.

The equation is ????? = 0

Click here to see answer by Fombitz(32388) About Me 

Question 357964: Hi guys,
Struggeling with the following partial fractions:
1/(x+1)(x^2-1)
1/x^3+2x
Any Help To Show Me Steps Of How To Complete The Equations Would Be Much Help,
Thank you

Click here to see answer by Fombitz(32388) About Me 

Question 357969: Hi All
Stuck on the last part of my Majorly long task sheet, the parts are below
1) What is the remainder when x^4+3x^2+1 is divided by x+1?
2) Given that (x-1) is a factor find all the linear factors of x^3-6x^2+11x-6
Many Thanks In Advance

Click here to see answer by ewatrrr(24785) About Me 

Question 357839: Find two real numbers whose sum is 18 and whose product is a minimum?
Click here to see answer by Fombitz(32388) About Me 

Question 358027: Hi Stuck on this question
Express the following as a partial fraction
3x-1/x^2+4x+4
Really confuced here, i take it you factorise the equation to get
3x-1/(x+2)(x+2)

Thanks

Click here to see answer by Fombitz(32388) About Me 
Question 358027: Hi Stuck on this question
Express the following as a partial fraction
3x-1/x^2+4x+4
Really confuced here, i take it you factorise the equation to get
3x-1/(x+2)(x+2)

Thanks

Click here to see answer by solver91311(24713) About Me 

Question 357633: i am confused how to do long division
my problem is: divide 4x^3-7x^2-11x+5 by 4x+5
solve using long division

Click here to see answer by Fombitz(32388) About Me 

Question 358061: Hi
Quick question if somebody would be so kind as to walk me through it
Find the equation of the tangent to the circle
x^2+y^2-4y-1=0
The the point (2,1)
Thanks in advance

Click here to see answer by stanbon(75887) About Me 
Question 358061: Hi
Quick question if somebody would be so kind as to walk me through it
Find the equation of the tangent to the circle
x^2+y^2-4y-1=0
The the point (2,1)
Thanks in advance

Click here to see answer by solver91311(24713) About Me 

Question 358067: How do you determine the focus and directrix from the vertex formula
y-k=a(x-h)^2 ?

Click here to see answer by scott8148(6628) About Me 

Question 358372: Find the coordinates of the vertexfor the parabola defined by the given quadraric funtion. f(x)= -x^2-2x+1
Click here to see answer by josmiceli(19441) About Me 

Question 358140: solve x^2+18x-4=0 simplify your answers. Use a comma to separate answers as needed. Type an exact answer, using radicals as needed. Type each solution only once.
Click here to see answer by jsmallt9(3758) About Me 

Question 358429: What does it mean to refer to a 20-in TV set or a 25-in TV set? Such units refer to the diagonal of the screen. A 15-in TV set also has a width of 12 inches. What is its height???

Click here to see answer by checkley77(12844) About Me 

Question 358581: Find the vertex, the line of symmetry, the maxiumum or minimum value of the quadratic function, and the graph function.

+f%28x%29=+-2x%5E2%2B2x%2B2+

1) The x-coordinate of the vertex is?? "simplified fraction"
2) The y-coordinate of the vertex is?? "simplified fraction"
3) The equation of the line of symmetry is x= ??? "simplified fraction"
4) The maximum/minimum of f(x) is ?? "simplified fraction"
5) The value f(1/2)=5/2 is maximum or minimum???
I am lost could someone please help me and show a graph as well please

Click here to see answer by ewatrrr(24785) About Me 

Question 358694: please help me, i am very lost
a) Solve 2x^2 = 6
b) Find the x-intercepts of f(x)=2x^2-6


Click here to see answer by solver91311(24713) About Me 

Question 358708: solve using any method
2x^2=8x

Click here to see answer by checkley77(12844) About Me 

Question 358712: Find the vertex, the line of symmetry, and the maximum or minimum value of f(x). Graph the function.

+f%28x%29+=+1%2F5%28x%2B8%29%5E2%2B2+
1) The vertex is ???
2) The line of symmetry is x= ??
3) What is the maximum/minimum value of f(x)
4) Is the value f (-8)=2, a minimum or maximum??
Could someone please help me and please show me what the graph looks like

Click here to see answer by solver91311(24713) About Me 

Question 358686: Find the x-intercepts for the graph of the equation y=x^2+2x-3


please help me

Click here to see answer by checkley77(12844) About Me 

Question 358808: X^2 + 4X -5=0
Click here to see answer by edjones(8007) About Me 

Question 358814: solve the equation. If the exact roots cannot be found, state the consecutiveintegers between which roots are located.
-2x^2-4x=0
I don't not understand any part of this. I don't even know where to begin. I would greatly appreciate a step by step solution so I can understand how to do the rest of the problems.

Click here to see answer by edjones(8007) About Me 

Question 358867: Solve
If a pine cone falls from the top of a 96 foot tree, then how long does it take to reach the earth?

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

Question 358933: 1/x-2/(x+2)=-3
Click here to see answer by mananth(16946) About Me 

Question 358907: The hypotenuse of a right triangle is 4 cm longer than one leg and 8cm longer than the other leg. What is the length of each side?
Click here to see answer by Fombitz(32388) About Me 

Question 358660: find the center (h,k) and radius r of the circle x^2+y^-4x+2y=20 by completing the circle
Click here to see answer by Fombitz(32388) About Me 

Question 358697: find a quadratic model in standard form (0,3) (1,10) (2,19)
Click here to see answer by Fombitz(32388) About Me 

Question 358914: how do you simplify this equation
8-2d=.6(-4d)

Click here to see answer by Fombitz(32388) About Me 

Question 359024: For the following equation, state the value of the discriminant and then describe the nature of the solutions.

+10x%5E2-3x%2B2=0+

1) what is the value of the discriminant???
2) Does the equation have one real solution, two real solutions, or two imaginary solutions???

Really lost please help me

Click here to see answer by Fombitz(32388) About Me 

Question 359025: Solve
+%28x%2B18%29%28x-3%29%28x%2B13%29%3E0+

1) The solution set is????
"use at least one inequality or compund inequality to express your answer"

Please help me

Click here to see answer by Fombitz(32388) About Me 

Question 359036: Solve

+v%5E2%2B2v-48=0+

the solution or solutions for v are v=????

please help me, i am lost

Click here to see answer by ewatrrr(24785) About Me 

Question 359091: how would i solve this equation i dont uderstand it 9x^2+6x+3=0
Click here to see answer by Fombitz(32388) About Me 
Question 359091: how would i solve this equation i dont uderstand it 9x^2+6x+3=0
Click here to see answer by vleith(2983) About Me 

Question 359153: Please solve the following equation by using factors(please do not use the quadratic formula)
(2x-5)(x-2)=15
Thank you

Click here to see answer by ewatrrr(24785) About Me 
Question 359153: Please solve the following equation by using factors(please do not use the quadratic formula)
(2x-5)(x-2)=15
Thank you

Click here to see answer by Fombitz(32388) About Me 

Question 359149: Please solve the following equations by factors(Please do not use the quadratic formula)

x squared - 2x-3=0

4x squared -29x+7=0

Click here to see answer by Fombitz(32388) About Me 

Question 359144: Please factorise the following (Please do not use the quadratic formula)
7x squared -18x+8

2x squared +11x+14

Click here to see answer by ewatrrr(24785) About Me 

Question 358701: For the following equation, state the value of the discriminant and then describe the nature of the solutions.
+10x%5E2-3x%2B2=0+

What is the value of the discriminant??
The equation has two real solutions, two imaginary solutions, or one real solution???
please help me

Click here to see answer by Fombitz(32388) About Me 

Question 359205: find the domain and range of
14x^2-16

Click here to see answer by Fombitz(32388) About Me 

Question 359206: what are the x and y intercepts of the equation x^2+y^2=49 ?
Click here to see answer by Fombitz(32388) About Me 

Question 359299: Solve
+x%5E2%2B18x-4=0+

The solution is x = ???

please simplify

please help me i am really lost

Click here to see answer by unlockmath(1688) 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