Questions on Algebra: Quadratic Equation answered by real tutors!

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Tutors Answer Your Questions about Quadratic Equations (FREE)


Question 292771: How do you solve the equation by completing the square, w^2-14w+24=0 ?
Click here to see answer by dabanfield(803) About Me 

Question 292757: a rectangular patio measuring 6 meters by 8 meters s to be increased in size to an area measuring 150 square meters. If both the width and the length are to be increased by the same amount, what is the number of meters, to the nearest tenth, that the dimensions will be increased?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 292811: I have an quadratic equation that has to do with graphing and its due tomorrow night (4/16/2010). P=7t^2+8000. 8000 represents the population (p0), t is the time meaning years. t=o (2010), t=1 (2011), t=2 (2012), t=3 (2013), and t=6 (2016). The time (year) is already solved for me but I dont know how to figure out the solving of the population for the years that I have shown nor graph it all onto an graph. Can you please help me.
Thank you,
tpickens

Click here to see answer by nerdybill(7384) About Me 

Question 292696: 1.what are the values of A,B and C if 2x^2 -x-3=A(x+B)^2+C
2.what is the minimum value of 2x^2-x-3

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

Question 292979: solve by quadratic formula: 4x^2 + 4x + 17 = 0
A=4
B=4
C=17
I solved it and got -4 + or - i SQRT 16 over 8
My question is can this be reduced because there is a -4? So, I am wondering if this would be -2 + or - i SQRT 16 over 4.
Thank you for your assistance.

Click here to see answer by jim_thompson5910(35256) About Me 
Question 292979: solve by quadratic formula: 4x^2 + 4x + 17 = 0
A=4
B=4
C=17
I solved it and got -4 + or - i SQRT 16 over 8
My question is can this be reduced because there is a -4? So, I am wondering if this would be -2 + or - i SQRT 16 over 4.
Thank you for your assistance.

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

Question 292950: an open-toped box has height h and a squre base with perimeter 4x. what is the surface area of the box?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 293032: Find the value of x. If necessary, round to the nearest tenth
Image Hosted by WoO Pics
This is the way I'm thinking to solve it.
sqrt(28) = 5.2915
Rounded 5.3
5.3*5.3 = 28.09...rounded to 28.
Is that how I would solve it?

Click here to see answer by unlockmath(1688) About Me 

Question 293111: what is 5x to the second power-68-192
Click here to see answer by Alan3354(69443) About Me 

Question 293103: v^2 +4v-5=0

Thanks

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

Question 293152: PLEASEEE I NEED HELP WITH THIS ONE> Quadratic equation....please dont say 2.665 and -2.65. BUt here is the equation
18x^2-128
(FOIL)(WITH 4 SPACES)I THINK. pleasehelp it is for carneigie learning online. I am a freshman and this is the only problem i cant figure out

Click here to see answer by jim_thompson5910(35256) About Me 

Question 293193: Use the discriminant to determine how many solutions there are to the equation.
-0.2xsquared+12x+11=0 Show your work.
Find the solution(s) to the equation. Is your answer in (c) correct?

Click here to see answer by stanbon(75887) About Me 

Question 293195: u^2-54=0
Thanks

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Question 292353: How do you make a table of values and graph y<-x^2+x? Everytime i graph it i get a graph that looks nothing like the one in the back of my book i cant figure out the nubers to put in for x in the table of values because my teacher said to find the vertex and use it for the middle of the table but it is not working for me
Click here to see answer by richwmiller(17219) About Me 

Question 293256: does the following parabola open up or down? How can I tell? Thanks! –3x^2 + 90x
Click here to see answer by Earlsdon(6294) About Me 

Question 293255: solve by completing the square 3/8x^2 = 1/8 - x
Get 0 on one side: 3/8x^2 + x - 1/8 = 0
Divide both sides by 8 and then you get: 3x^2+8x-1 =0
Then I make the coefficient of x^2 equal to 1, I divide both sides by 3, term by term.
Then I get x^2 + 8/3 - 1/3 = 0
This is where I get confused. I need help completing the square now. I know I square 1/2(8/3)^2 and that gives me a square and I add 16/9 to both sides.





Click here to see answer by Alan3354(69443) About Me 
Question 293255: solve by completing the square 3/8x^2 = 1/8 - x
Get 0 on one side: 3/8x^2 + x - 1/8 = 0
Divide both sides by 8 and then you get: 3x^2+8x-1 =0
Then I make the coefficient of x^2 equal to 1, I divide both sides by 3, term by term.
Then I get x^2 + 8/3 - 1/3 = 0
This is where I get confused. I need help completing the square now. I know I square 1/2(8/3)^2 and that gives me a square and I add 16/9 to both sides.





Click here to see answer by Earlsdon(6294) About Me 
Question 293255: solve by completing the square 3/8x^2 = 1/8 - x
Get 0 on one side: 3/8x^2 + x - 1/8 = 0
Divide both sides by 8 and then you get: 3x^2+8x-1 =0
Then I make the coefficient of x^2 equal to 1, I divide both sides by 3, term by term.
Then I get x^2 + 8/3 - 1/3 = 0
This is where I get confused. I need help completing the square now. I know I square 1/2(8/3)^2 and that gives me a square and I add 16/9 to both sides.





Click here to see answer by richwmiller(17219) About Me 

Question 293099: (3v-2)(2v+1)=3v^2-11v-10
Thanks

Click here to see answer by helpnalgebra(91) About Me 
Question 293099: (3v-2)(2v+1)=3v^2-11v-10
Thanks

Click here to see answer by jim_thompson5910(35256) About Me 

Question 293365: i dont understand what is the solution of (3x-1)^2=5.
Click here to see answer by jim_thompson5910(35256) About Me 

Question 293336: two numbers add to 17 and the sum of their squares is 185. what are the two numbers?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 293444: (x+4)(3x-2)=
Click here to see answer by richwmiller(17219) About Me 

Question 293338: The hypotenuse of a right triangle is 6 units longer than the shorter leg. The longer side is 3 units more than the shorter side. Find the length of the shorter side.
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 293526: f(x)=x^2+5x+7'f(4)

Click here to see answer by jim_thompson5910(35256) About Me 

Question 293470: Find the roots of quadratic equation, if more than one, separate with commas,
W^2+2W-3=0

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Question 293563: solve by factoring: 5x^2 = 4 - 19x
Click here to see answer by vleith(2983) About Me 

Question 293547: An object is propelled vertically upward with an initial velocity of 20 meters per second. The distance s (in meters) of the object from the ground after t seconds is s = -4.9t2 + 20t (
a) when will the object be 15meters above the ground?
(b) when will it strike the ground
(c) will the object reach a height of 100 meters?

Click here to see answer by nerdybill(7384) About Me 

Question 293581: (t-1)^2-15=0
Thanks

Click here to see answer by nerdybill(7384) About Me 

Question 293566: The quadratic equation x^2 = 8x = -20 is to be solved by completing the square. Which equation would be a step in that solutions?
a) (x - 4)^2 = 4
b) x^2 - 8x + 16 = -20

Click here to see answer by richwmiller(17219) About Me 

Question 293593: 1. 2x^6+8x^5+8x^4

Click here to see answer by richwmiller(17219) About Me 

Question 293599: How do you do a quadratic equation not ending in zero? The problem on my worksheet is 3xsquared + 3x = 4 ? I dont know what to do.
Click here to see answer by jim_thompson5910(35256) About Me 
Question 293599: How do you do a quadratic equation not ending in zero? The problem on my worksheet is 3xsquared + 3x = 4 ? I dont know what to do.
Click here to see answer by richwmiller(17219) About Me 

Question 293618: I am trying to find the vertex for : f(x)=-x^2+10x+5. I am stuck...
(-x^2+10x+25-25)+5
(-x^2+10x+25)+(25+5)
(x+5)(x+5)
I think I am doing this wrong. The negative in front of the x^2 is throwing me off... any help will be appreciated!

Click here to see answer by nerdybill(7384) About Me 

Question 293706: When adding or subtracting expressions,How do you identify the like terms?
Click here to see answer by Alan3354(69443) About Me 

Question 293756: solve by any method:
3x + 2y= 3
9x - 8y= -2

Click here to see answer by richwmiller(17219) About Me 

Question 293806: Compute the following
∛64

Click here to see answer by mananth(16946) About Me 

Question 293805: Write the following in simplied radical form

∛375

Click here to see answer by vleith(2983) About Me 

Question 293833: I need help in factoring this equation! I also need it to be shown to me step by step because I dont know how to solve it!
+2x%5E3-x%5E2-18x%2B9=0+

Click here to see answer by nerdybill(7384) About Me 

Question 293809: Solve for z, where z is a real number
√(4z+12) = z

Click here to see answer by user_dude2008(1862) About Me 

Question 293808: Solve for y

√(y+14) = √(2y-5)

Click here to see answer by user_dude2008(1862) About Me 

Question 293801: solve x^2=20, where x is a real number, simplify your answer as much as possible if mor than one solution separate
Click here to see answer by user_dude2008(1862) About Me 

Question 293875: 24) The graph below is from a quadratic function of the form f(x)=(x–h)2 with a symmetry x=–3 and vertex (–3, 0). Which of the 3 functions matches the graph?

A) f(x)=(x–3)2 B) f(x)=(x+3)2 C) f(x)=(x+2)2

Click here to see answer by richwmiller(17219) About Me 

Question 293896: I need help in factoring this equation! I also need it to be shown to me step by step because I dont know how to solve it!
+2x%5E3-x%5E2-18x%2B9=0+

Click here to see answer by jim_thompson5910(35256) About Me 
Question 293896: I need help in factoring this equation! I also need it to be shown to me step by step because I dont know how to solve it!
+2x%5E3-x%5E2-18x%2B9=0+

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