Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 176581: Solve this system:
x - 3y = 9
5x - 15y = 45

Click here to see answer by jojo14344(1513) About Me 

Question 176580: Solve the system:
4x + 3y = 12
x + y = 2

Click here to see answer by jojo14344(1513) About Me 

Question 176579: Solve this system:
3x - 2y = 23
x + 5y = -15

Click here to see answer by jojo14344(1513) About Me 
Question 176579: Solve this system:
3x - 2y = 23
x + 5y = -15

Click here to see answer by MathLover1(20849) About Me 

Question 176576: Solve this system:
6x + y = 2
y = 3x - 4

Click here to see answer by jojo14344(1513) About Me 

Question 176593: Please help. I have another one that I think I solved but I have never had one come out in decimals before and it is for a quiz and I want to make sure it is correct.
f(x)=x^2-9x+5
I used the -b/2a and 4ac-b^2/4a formulas which makes the problems 9/2(1)and 4(1)(5)-(-9)^2/4(1).
I came up with x=4.5 and y=25.25 Is this right? Thank you so much.

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

Question 176602: Thank you Stan for answering this the first time, however, I did fail to put in that we have to find the x and y intercepts.
f(x)=x^2-9x+5
I used the -b/2a and 4ac-b^2/4a formulas which makes the problems 9/2(1)and 4(1)(5)-(-9)^2/4(1).
I came up with x=4.5 and y=25.25 Is this right? Thank you so much.

Click here to see answer by MathLover1(20849) About Me 
Question 176602: Thank you Stan for answering this the first time, however, I did fail to put in that we have to find the x and y intercepts.
f(x)=x^2-9x+5
I used the -b/2a and 4ac-b^2/4a formulas which makes the problems 9/2(1)and 4(1)(5)-(-9)^2/4(1).
I came up with x=4.5 and y=25.25 Is this right? Thank you so much.

Click here to see answer by Mathtut(3670) About Me 

Question 176588: Please Help! I have tried several times to solve it and keep getting different answers
x^2+13/2x=13
I started by moving the 13 to the other side to make a quadratic equation:
x^2+13/2x-13=0 right? and I have no idea after that. Thank you so much

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

Question 176591: Please help. This one I think I have solved it, but I am unsure of what the solution means. Here is the problem.
Determine the nature of the solution. x^2-20x+100=0 a)2 non-real solutions
b)2 real solutions or c)1 real solution.
I know that if the answer is zero than it is 1 real, if it is positive, than it is 2 real, and if it is negative than it is 2 non-real. I think I got the solution down to 10+or- the square root of 0.
Is that right? Thank you for your help

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

Question 176577: One number is 18 more than another, and the sum of the smaller number and twice the larger number is 45. Find the two numbers. (Show the two equations you used and then your solution)

Click here to see answer by Fombitz(32388) About Me 
Question 176577: One number is 18 more than another, and the sum of the smaller number and twice the larger number is 45. Find the two numbers. (Show the two equations you used and then your solution)

Click here to see answer by MathTherapy(10549) About Me 

Question 176614: Find a quadratic equation with roots (4+i) and (4-i)
Click here to see answer by solver91311(24713) About Me 
Question 176614: Find a quadratic equation with roots (4+i) and (4-i)
Click here to see answer by josmiceli(19441) About Me 
Question 176614: Find a quadratic equation with roots (4+i) and (4-i)
Click here to see answer by Earlsdon(6294) About Me 

Question 176615: Given x^3-4x^2+2x+1=0
A. How many possible negative roots are there?
B. Using synthetic substitution, which of the possible rational roots is actually a root of the equation?

Click here to see answer by Mathtut(3670) About Me 

Question 176562: Solve 1/x + 1/x+5 = 3/4
Click here to see answer by MathTherapy(10549) About Me 
Question 176562: Solve 1/x + 1/x+5 = 3/4
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 176652: Solve/
x^2=13/2x-13=0
I have come to the step of -13/2 +and- the square root of 169/4+52 all divided by 2. I have no idea how to solve it from here.
Thank you

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

Question 176517: Evaluate:
a) [16^1/2 + (2/3)^0]^-2
b) (7^0 - 4^-1)^-3
c) (5^-2 + 4^0)^-1
d) -8^0 + (-2/3)^-2

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

Question 176595: Please help. Solve for the length and width.
The length of a rectangle is twice the width. The area of the rectangle is 162yd^2. Find L and W.
Thank you

Click here to see answer by checkley75(3666) About Me 

Question 176793: Solve x^2-8x+4=0. I think the answer is D, but I'm not 100% sure.
A) -4± 2√3
B) -4± 4√3
C) 4± 4√3
D) 4± 2√3

Click here to see answer by josmiceli(19441) About Me 

Question 176812: The sum of two numbers is 42. The second is 10 more than 3 times the first. Find the numbers. (Show the two equations you used and then your solution)
Click here to see answer by josmiceli(19441) About Me 

Question 176808: Solve this system:
x - 3y = 9
5x - 15y = 45

Click here to see answer by josmiceli(19441) About Me 

Question 176790: Solve 2x^2-6x-3=0 Which one is the answer? I can work it all the way to were x= +6 ± √60/4...I get stuck after that part.
A) -3+√15/2 and -3-√15/2
B) 3+2√15/2 and 3-2√15/2
C) There are no real solutions
D) 3+√15/2 and 3-√15/2

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

Question 176811: Choose the answer that lists all the quadrants in which the solution points are located for this system of inequalities:
2x + y <= 6
y >= 1

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

Question 176813: The length of a rectangle is 3in. more than twice its width. If the perimeter of the rectange is 30in., find the dimensions of the rectangle. Choose the answer with the correct equations used to solve this problem.

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

Question 176887: how many gallons of paint do i need to fill a square x feet high
Click here to see answer by Mathtut(3670) About Me 

Question 176901: Please help. Find the vertex, line of symmetry, minimum and maximum value for the quadratic equation. I can do it all after finding the vertex, but I am unsure of how to find it.
f(x)= 4-x^2
Thank you

Click here to see answer by stanbon(75887) About Me 
Question 176901: Please help. Find the vertex, line of symmetry, minimum and maximum value for the quadratic equation. I can do it all after finding the vertex, but I am unsure of how to find it.
f(x)= 4-x^2
Thank you

Click here to see answer by Mathtut(3670) About Me 

Question 176902: Please help. Here is one that says solve and then find the x intercept.
3x^2-5x-11=0
When I used the quadratic equation I came up with an answer of
5+square root of 157 divided by 6 AND 5-square root of 157 divided by 6.
Then when I found the x intercept my answers were x=5/6 and y=-107/12.
This does not seem right to me. Is it? Thank you

Click here to see answer by vleith(2983) About Me 
Question 176902: Please help. Here is one that says solve and then find the x intercept.
3x^2-5x-11=0
When I used the quadratic equation I came up with an answer of
5+square root of 157 divided by 6 AND 5-square root of 157 divided by 6.
Then when I found the x intercept my answers were x=5/6 and y=-107/12.
This does not seem right to me. Is it? Thank you

Click here to see answer by josmiceli(19441) About Me 

Question 176908: Please help.
Give the exact solution and the approximate solution to three decimal places.
x^2-7x+11=0
Thank you.

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

Question 176900: Please help.
Find and label the vertex and line of symmetry. f(x)=2x^2
Thank you

Click here to see answer by Mathtut(3670) About Me 

Question 176934: I would like to know if you would be able to help me with this problem.
using this equation:
h= -16t^2+vt+c
Problem- a child tosses a ball upward with a starting velocity of 10 ft/s from a height of 3 ft.
b) solve. if not caught how long will the ball be in air?
Thank you for any help you can offer me!
Thank you so much!!
-j2012

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

Question 176943: 3x^2-x-1=0 I'm trying to do it with the quadratic formula but I'm a little lost
Click here to see answer by jim_thompson5910(35256) About Me 
Question 176943: 3x^2-x-1=0 I'm trying to do it with the quadratic formula but I'm a little lost
Click here to see answer by stanbon(75887) About Me 

Question 176922: sovle over the complex numbers
5k squared = 3k + 2

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

Question 176926: Please solve by factoring,
3x^2+11x-20=0

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

Question 176589: A tunnel is constructed using cut and cover construction with the cross section represented by the following equation of a parabola y=-0.4x%5E2%2B6. Calculate the width of the tunnel by solving the quadratic equation using another method than graphs.
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 176899: Please help with this one...the directions are to find the vertex, the line of symmetry, the minimum and maximum value of the quadratic equation and then graph it. I know that once I get the vertex, I can find the rest. I have solved it close to the end, but I am not sure where to go from here...
f(x)=-2x^2+2x+7
I used the equation -b+- the square root of b^2-4ac divided by 2a
I got to -2+-the square root of 60 divided by 4. Now I am stuck...thank you for the help.

Click here to see answer by scott8148(6628) About Me 
Question 176899: Please help with this one...the directions are to find the vertex, the line of symmetry, the minimum and maximum value of the quadratic equation and then graph it. I know that once I get the vertex, I can find the rest. I have solved it close to the end, but I am not sure where to go from here...
f(x)=-2x^2+2x+7
I used the equation -b+- the square root of b^2-4ac divided by 2a
I got to -2+-the square root of 60 divided by 4. Now I am stuck...thank you for the help.

Click here to see answer by Earlsdon(6294) About Me 

Question 176980: Find the x intercepts and y intercepts for the following: (write as an ordered pair, using an interger or a decimal rounded to the nearest tenth.)
f(x)=x^2-9x+5

Click here to see answer by jojo14344(1513) About Me 

Question 176979: Please help with this story problem.
The number of tickets sold each day for a concert is N(x)=-0.3x^2+6x+10 where x is the number of days since the concert has been announced. When will sales peak and how many tickets will be sold that day?
Thank you

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

Question 177080: can you please find the discriminant, and determine the number of real solutions
81x^2+4=0
Thank you

Click here to see answer by jim_thompson5910(35256) 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