Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 345110: Can you please help me with this quadratic word problem:
A designer attempts to arrange the characters of his artwork in the form of a square grid with equal numbers of rows and columns, but finds that 24 characters are left out. When he tries to add one more row and column, he finds that he has 25 too few characters. Find the number of characters used by the designer.
Thank you,
Storm

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 345241: find the x and y intercepts of f(x)=16^2+8x+1
Click here to see answer by Em(1) About Me 
Question 345241: find the x and y intercepts of f(x)=16^2+8x+1
Click here to see answer by MathTherapy(10549) About Me 

Question 345288: I'm having some trouble with a quadratic equation problem. The problem is
(3x+1)^2=9

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

Question 345265: Please solve
s^2-5s-50=0
Thank you!

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

Question 345278: I've never been good at math at all. I am in a college algebra class and need help doing quadratic equations and inequalitites. The question says to find each of the following quotients and then express the answers in the standard form of a complex number. The problem is:
(5+i)/(2+9i)

Click here to see answer by Edwin McCravy(20054) About Me 

Question 345388: Solve
6x^4-13x^2+5=0

Click here to see answer by haileytucki(390) About Me 

Question 345532: x/x-2+2/x+2=x^2-1/x^2-4
Click here to see answer by Fombitz(32388) About Me 

Question 345534: how to solve the equations for x?
x-6/2+x-16/5=x-6/15+17

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

Question 345537: quadratic equations have methods of solving
help me to solve by factoring
4(x-2)/x-3+3/x=-3/x(x-3)




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

Question 345539: quadratic equations have methods of solving
help me to solve by completing the square
4x^2+4x-15=0

Click here to see answer by bella18(6) About Me 

Question 345545: help me to solve the equations for x
4/x^2-x-2 - 3/x^2-3x+2 = 5/x^2-1



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

Question 345797: A long rectangular sheet of metal 10 in. wide is to be made into a gutter by turning up sides of equal length perpendicular to the sheet. Find the length that must be turned up to produce a gutter with a maximum cross-sectional area.
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 345867: x^2-x/x^2+3x+2 / x^2+2x/x^2-1 =

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

Question 345903: what is the greatest common divisor of 414 and 1035?
Click here to see answer by Fombitz(32388) About Me 
Question 345903: what is the greatest common divisor of 414 and 1035?
Click here to see answer by MathTherapy(10549) About Me 

Question 345976: How do I solve the equation 4x^2 = 20. And how do I find the x-intercepts are after I solve the equation.
Click here to see answer by haileytucki(390) About Me 

Question 346128: How do I solve this quadratic equation?
x^2-5x-14=0

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

Question 346130: How do i solve this quadratic equation?
x=^-b+√b^2-4ac
2a

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

Question 346249: Given that (x^2-ax+2)(x-b)=x^3-7x^2+14x+c, find the possible values of the constant a,b and c
Click here to see answer by Fombitz(32388) About Me 

Question 346505: (3y+2)^2+400=0
Click here to see answer by jsmallt9(3758) About Me 

Question 346644: How do I solve this quadratic equation?
x^2 +4x - 6

Click here to see answer by Alan3354(69443) About Me 
Question 346644: How do I solve this quadratic equation?
x^2 +4x - 6

Click here to see answer by CharlesG2(834) About Me 

Question 346648: How do I solve this quadratic equation?
ax^2+bx+c = 0

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

Question 346795: what is two ways you can answer 25-x=5x-3 without useing subsition
Click here to see answer by haileytucki(390) About Me 

Question 346914: How do I solve this quadratic equation?
w^4-14w^2-2=0

Click here to see answer by haileytucki(390) About Me 

Question 346951: How do i approach x to the second power=5x
Click here to see answer by nyc_function(2741) About Me 

Question 346980: what is the answer to 2 2/5 x 4
My email address is danieljonorozcomtg@yahoo.com

Click here to see answer by haileytucki(390) About Me 

Question 347025: 2x^2+7x-5 = x^2+6x+7

Click here to see answer by jsmallt9(3758) About Me 

Question 347066: (x-5)squared-4(x-5)-21=0
Click here to see answer by jsmallt9(3758) About Me 

Question 347093: (this is a word problem involving quadratic equation)
an object is projected directly upward from the ground. after t seconds its distance in feet above the ground is s=144t-16r^2 after how many sec. will the object be 128 feet above the ground? (please explain how u got the answer and use the factoring method)

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

Question 347155: 1+7/2A=15/2A
Click here to see answer by Fombitz(32388) About Me 

Question 347237: Could you please let me know the answer to y = -x2 on a graph of Tshape with - 3 across to plus 3 and -5 down to +1.
Your help in this matter will be greatly appreciated, please explain how you got this answer/

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

Question 347278: What is the soultion to the equation x^2+2x+2=0
Click here to see answer by nyc_function(2741) About Me 

Question 347261: Solve by completeing the square, using th quadratic formula or by factoring
t square - 4t + 8 = 0

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 347527: Solve by factoring
10y^2-9y=1

Click here to see answer by fractalier(6550) About Me 

Question 347531: Solve by completing the square
x^2-2x-5=0

Click here to see answer by fractalier(6550) About Me 
Question 347531: Solve by completing the square
x^2-2x-5=0

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

Question 347526: solve by factoring
2y^2+y-6=0

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

Question 347560: which direction does the parabola for the quadratic equation y = -x2 + 12x + 15 open
Click here to see answer by haileytucki(390) About Me 

Question 347559: which direction does the parabola for the quadratic equation y = -5x2 – 16x + 21 open?
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Question 347532: Solve by using the quadratic equation
y^2+6y+6=0

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Question 347611: sketch the graph of the function -(1/2)y=x^2
Click here to see answer by Fombitz(32388) About Me 

Question 347685: How do I solve this problem? (x-6)(x+8)=3(x-2)
Click here to see answer by Fombitz(32388) About Me 

Question 347665: A wire 60 inches long is cut into two pieces whose lengths have a ratio of 3 to 1. To find the length of each piece, let x be the length of the shorter piece. Since the wire is 60 inches long, and since the shorter piece is x inches long, what is the length of the longer piece?
Click here to see answer by josmiceli(19441) 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