Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 140786: please help. write the equation of the root
6,-2/3 Thanks for helping.
Click here to see answer by Fombitz(32388)

Question 140885: Hi, I am having a little trouple with my home work. I would be vey grateful if some one could please help me with these two problems.
Solve using the square root property:
(x + 4)2 = 81
Solve by completing the square:
x2 + 6x + 2 = 0

Click here to see answer by stanbon(75887)

Question 140837: Factor the following
x^2+-9+1x
bx^2+-7+-5
x^2+-36
3x^2+11x+4
x^2+8x+7
5x^2+x-18
9x^2+bx-8
26x+x^2-18
Click here to see answer by stanbon(75887)

Question 140896: The number of real roots of the equation 2x4 + 5x2 + 3 = 0 is what

Click here to see answer by scott8148(6628)

Question 140895: The number of real roots of the equation 2x4 + 5x2 + 3 = 0 is
Click here to see answer by scott8148(6628)

Question 140894: please help use the quadratic formula x= -b+ (small dash under plus sign)sqrt (b^2-4ac)/2a find the roots of the equation x^2-4/3x+1/3=0
Click here to see answer by jim_thompson5910(35256)

Question 140900: does this function have a maximum or a minimum?
x^2+4x-5=0
or
(-5,1)
or
(-2,-9)
and what are the coordinates of the vertex in (x,y) form and what is the equation of the line of symmetry on the graph?
Click here to see answer by edjones(8007)

Question 140923: Solving 6x^2+3x-18=0,using quadratic formula. would that be ax^+bx+c=0.
Click here to see answer by checkley77(12844)

Question 140923: Solving 6x^2+3x-18=0,using quadratic formula. would that be ax^+bx+c=0.
Click here to see answer by stanbon(75887)

Question 140933: please help.. using the quadratic formula x=-b+ (small line under the plus sign)sqrt(b^2-4ac)/2a find the roots of the equation
2x^2-3x+1=0 thanks for the help
Click here to see answer by checkley77(12844)

Question 140969: please help. using the quadratic formula x=-b= (with small dash under the plus sign) sqrt (b^2-4ac)/2a find the roots of the equation
6x^2+12x=-5 Thanks
Click here to see answer by Earlsdon(6294)

Question 140977: How would I Factor this equation,if f(t)=2t^2-4t-1,find- with f(2) and f(1).
Do, I replace (t), with 2 and 1 in the equation. And, thanks for the help.
Click here to see answer by scott8148(6628)

Question 140972: please help.. find the root(s) of the equation using the expression x=-b/2a to find each axis of symmetry.then graph each equation .
y=3x^2 thanks so much for your help.
Click here to see answer by stanbon(75887)

Question 140682: need help with these 2 problems.Thanks for all your help.
write the equation of each root
1. 6, -2/3
2. -3/4, -8
Click here to see answer by ankor@dixie-net.com(22740)

Question 140987: Solve the system by graphing. Then graphify the system consistant or inconsistant and as dependent or independent.
5x - 8y = -40
5y - 8x = 40
Will someone please help with this one. It is independent right? And Consistant? Or am I totally wrong if so WHY????
Click here to see answer by jim_thompson5910(35256)

Question 140989: Solve to a solution set.
0.7(9x+9) >_ 2.2-(x+3)
Help with this please, of course the >_ are supossed to be on top of each other. Can somone please help with this.
Click here to see answer by stanbon(75887)

Question 140995: Thank you for your help.Solving the following by Factoring the equations of x^2-6x-16=0, would (x+2)(x-8)=0 or -8x+2x, and would the same apply to 6x^2+42x=0,6x(x+7). Is x2 the same as x^2. This site has truly been a big help for me.
Click here to see answer by edjones(8007)

Question 141026: Hi, I have done this problem in solving equation:
2^2 � x � 1 = 0
This is how I did the problem
Factor the equation: (2x + 1) (x � 1) = 0
Factor separately to equal 0: 2x + 1= 0 x � 1 = 0
2x = -1 x = 1
x = - �
My question is how to check the answer, and to go back to original equation?
I hope some one can help me please I am not sure about how to go back to the original equation. Thank you very much.

Click here to see answer by stanbon(75887)

Question 141023: How do you graph y<2(x squared)-3x?
Click here to see answer by stanbon(75887)

Question 141031: I want to solve by "completing the square", I have a textbook and some animations but I just do not get it. I had a problem with quadratic formula and I found an example on this website that just made that click for me. I am hoping someone can do the same with "complete the square". Thanks in advance for you explanation.
Click here to see answer by stanbon(75887)

Question 141046: please help...find the root(s) of the equation using the expression x=-b/2a to find the axis of symmetry.then graph.
y=x^2-x-2 thanks
Click here to see answer by smarty1994(10)

Question 141048: 6x^2-8x+2=0
Click here to see answer by vleith(2983)

Question 140936: find the value of the discriminant and give the number of real solutions.
4(x^2+5x)=25
Click here to see answer by nabla(475)

Question 141057: The sum of the base and height of a triangle is 25 cm. What is the maximum area of the triangle?
Click here to see answer by ankor@dixie-net.com(22740)

Question 141092: i am a two-digit number. the sum of my digits is 9. i am an even number. the difference in my digits is 9 what am i?
Click here to see answer by stanbon(75887)

Question 141112: I, seem to be having some confuse here I need to calculate the of the discriminant of part(a) x^2+4x+4. Then by examining the sign of the discriminant in part(a) how many x-intercepts would the graph of y=x^2+4x+4 have? and Why?
Click here to see answer by edjones(8007)

Question 141122: For 5x^2+3x-2 do the following

-graphing (both in vertex form and in standard form)
-factoring/pp
-completing the square/square roots
-quadratic formula.
Click here to see answer by edjones(8007)

Question 141135: A rectangle is 14 cm long and 10 cm wide. If the length is reduced by x cms and its width is increased also by x cms so as to make it a square then its area changes by what value?
Click here to see answer by edjones(8007)

Question 141195: What kind of function is this:
f(x)-x^2/3 + x^1/3 + 1
a. It's a cubic equation
b. It's a quadratic equation
c. Both of the above
d. None of the above
Click here to see answer by stanbon(75887)

Question 141179: please help. find the roots of the quadratic x^2-4x-6=0 by using the quadratic equation x= -b+ (with small dash under the plus sign) sqrt(b^2-4ac) / 2a epress in simplest form ...Thank you very much.
Click here to see answer by jim_thompson5910(35256)

Question 141198: How many solutions are possible in:

a.
b.
c.
d.
Click here to see answer by Edwin McCravy(20054)

Question 141199: i really need help with finding a answer to my quadratic equation project. is there any way you can help me out?
Click here to see answer by solver91311(24713)

Question 141204: When factoring the following by the reverse FOIL method, the factors of 6 must add up to what value?
I have no clue as to where to begin.
f(x) = x^2 + 5x + 6
a. 1
b. 1+6+5=12
c. 6
d. 5
Click here to see answer by nabla(475)

Question 141205: Hi, I have two problems I am not sure about. I hope some one can help me please.
Solve using the quadratic formula:
x2 � 3x = -6x � 1
Solve using the quadratic formula:
x2 � 10x � 1 = -10
Thank you so very much for useing your free time to help me.I am very grateful.

Click here to see answer by vleith(2983)

Question 141248: If the circle with centre(0,m) has equation x^2+y^2+6y+5=0, what is the value of m?
Click here to see answer by stanbon(75887)

Question 141251: If the point(3,-2) lies on the circle defined by x^2+y^2+mx-4y-3=0, what is the value of m???
Click here to see answer by stanbon(75887)

Question 141277: Decide if the lines are parallel, perpendicular, or neither.
5x + 3y = 7
3x + 5y = 3
Help me again please.
Click here to see answer by stanbon(75887)

Question 141281: Graph the system of inequalities.
y >_ -4
x >_ 5
OK Do i just put a dot on the y line at -4, and a 5 on the x line on the graph?
The _ is supposed to be below the >
Click here to see answer by stanbon(75887)

Question 141283: Solve using the addition and multiplication principles.
7 + 7x < 21
Can someone help with this please I am soooo baffled.
Click here to see answer by frizz2freak4me(2)

Question 141286: Use the intercept to graph the equation.
x + 2y = 4
How do I do this, I forgot already, I am so glad you are here for me. Thank you!
Click here to see answer by jim_thompson5910(35256)

Question 141275: Find the slope and the y-intercept.
f(x)= -2x - 5
Help please
Click here to see answer by MathTutorer(13)

Question 141309: Which method is best used to find the solutions to:
k(w) = -w^2 + 4
a. Using the square root property
b. Completing the square
c. Using the quadratic formula
d. This cannot be solved since the variable is not 'x'
I selected D; because a,b,c all require a 'x' variable
Click here to see answer by vleith(2983)

Question 141322: Solve for x:
sqrt x-6 + sqrt x+6 = 6
a. 3
b. 16
c. 10
d. Cannot be solved
This is what I have but it is not an answer.
sqrt x-6 = sqrt x+6 +6
(sqrt x-6)^2 = (sqrt x+6+6)^2
(sqrt x+6)^2 + 2 * sqrt x+6*6+6^2
x+6 + 2 sqrt x+6 + 6 + 36
(sqrt x-6)^2 = (sqrt x+6+6)^2
x-6 = x + 6 + 2sqrt x+6+36
x-6 + x + 42 + 2sqrt x+6
2x - 6 = 2sqrt x+6
4x^2 + 36x - 36 + 4 (x+6)
4x^2 + 36x - 36 = 4x + 24
4x^2 - 32x = 0
4x(x - 8x) = 0
4x = 0 and x - 8 = 0
x = 0 x = 8
Click here to see answer by oscargut(2103)

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