Questions on Algebra: Quadratic Equation answered by real tutors!

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Tutors Answer Your Questions about Quadratic Equations (FREE)


Question 176181: Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax^2+bx+c=0
Solution: 3 (only solution)
I have no clue about this please help
thank you

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

Question 176177: Determine the nature of the solutions of the equation
x^2-x+7=0
One real?
Two non-real?
Two real?

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

Question 176187: Find the value or values of y in the quadratic equation y^2 + 4y + 4 = 7.
Click here to see answer by jim_thompson5910(28598) About Me 

Question 176182: Y^2-4y+4=36
What is the exact solution
What is the approximate solution

Click here to see answer by Fombitz(13828) About Me 

Question 176179: Give exact and approximate solutions to three decimal places.
X^2-7x+7=0
Exact solutions are
Approx. to 3 decimals are
Thank you for your help

Click here to see answer by Fombitz(13828) About Me 

Question 176176: Give exact and approximate solutions to three decimal places.
(x-4)^2=24
x=
(type an exact answer using radicals if needed. Rationalize all denominators. Express complex numbers in terms of i. Use a comma to separate answers as needed)
There are no approximate solutions since the solutions are integers
please help

Click here to see answer by solver91311(16897) About Me 

Question 176252: this is a 4th grade math problem: algorithms:
4 hrs 10 min
-2 hrs 25 min
____________________

Click here to see answer by stanbon(57387) About Me 

Question 176260: Which of the Following is a factored form of tthe epression 7x^2+10x-8
A. (x-1) (7x+8)
B. (x-4) (7x+2)
C. (x-8) (7x-1)
D. (x+2) (7x-4)
E. (x+4) (7x-2)

Click here to see answer by fulio1(4) About Me 
Question 176260: Which of the Following is a factored form of tthe epression 7x^2+10x-8
A. (x-1) (7x+8)
B. (x-4) (7x+2)
C. (x-8) (7x-1)
D. (x+2) (7x-4)
E. (x+4) (7x-2)

Click here to see answer by MathTherapy(1425) About Me 

Question 176312: solve the equation by factoring.
2/3x^2+ 8 2/3x+20=0

Click here to see answer by MathTherapy(1425) About Me 

Question 176376: Find a quadratic equation with roots (4+i) and (4-i).
Click here to see answer by Mathtut(3670) About Me 
Question 176376: Find a quadratic equation with roots (4+i) and (4-i).
Click here to see answer by EMStelley(187) About Me 

Question 176377: Given x^3 - 4x^2 + 2x + 1 =0.
b. How many possible negative roots are there?
c. What are the possible rational roots?
d. Using synthetic substitution, which of the possible rational toots is actually a root of the equation?
e. Find the irrational roots of the equation. (Hint: Use the quadratic formula to the the depressed equation.)

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

Question 176363: I think this is quadratic equation...Please help. Thank you
Y^2-4y+4=36
What is the exact solution
What is the approximate solution

Click here to see answer by jim_thompson5910(28598) About Me 

Question 176362: Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax^2+bx+c=0
Solution: 3 (only solution)
Any help would be much appreciated
Thank you

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

Question 176448: How do you solve quadratic equations. example- -2d squared - 5d+19=0
Click here to see answer by jim_thompson5910(28598) About Me 

Question 176455: This is related to quadratic equations and complex numbers. The equation is x^2+mx+n=0 One of the roots/solutions is 3+2i. What is the value of m?
Click here to see answer by EMStelley(187) About Me 
Question 176455: This is related to quadratic equations and complex numbers. The equation is x^2+mx+n=0 One of the roots/solutions is 3+2i. What is the value of m?
Click here to see answer by Mathtut(3670) About Me 

Question 176525: Which is equivalent to 1/25^1/3?
a0 5^-6
b) 5^-2/3
c) 5^2/3
d) 5^6 ??
Which is equivalent to 2^x-3/8^x?
a) 2^-3x-3
b) 2^-2x-3
c) 2^2x-3
d) 2^4x-3

Click here to see answer by stanbon(57387) About Me 

Question 176546: y=x^2-2x-1 graph the quadratic function. label the vertex and axis of semitry.
Click here to see answer by jim_thompson5910(28598) About Me 

Question 176561: Solve 2x^2-6x-3=0
Click here to see answer by edjones(7569) About Me 

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

Click here to see answer by jojo14344(1512) About Me 

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

Click here to see answer by jojo14344(1512) About Me 

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

Click here to see answer by jojo14344(1512) About Me 
Question 176579: Solve this system:
3x - 2y = 23
x + 5y = -15

Click here to see answer by MathLover1(6638) About Me 

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

Click here to see answer by jojo14344(1512) 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(57387) 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(6638) 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(13828) 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(57387) 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(13828) 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(1425) About Me 

Question 176614: Find a quadratic equation with roots (4+i) and (4-i)
Click here to see answer by solver91311(16897) About Me 
Question 176614: Find a quadratic equation with roots (4+i) and (4-i)
Click here to see answer by josmiceli(9697) About Me 
Question 176614: Find a quadratic equation with roots (4+i) and (4-i)
Click here to see answer by Earlsdon(6287) 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(1425) About Me 
Question 176562: Solve 1/x + 1/x+5 = 3/4
Click here to see answer by ankor@dixie-net.com(15660) 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(28598) 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(13828) 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(9697) 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(9697) About Me 

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

Click here to see answer by josmiceli(9697) 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