Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 146622: I need help with the following. I can only get so far and then am stuck. I think the fractions are throwing me off.
x^2 +5/2x + 25/16 = 11/8. I thought maybe I could solve it by completing the square, but cant seem to obtain the correct answer that fits back into the equation.
Thanks so much

Click here to see answer by Fombitz(32388)

Question 146624: I need to solve 8x+x(x-6)=0
and find the x-intercepts. Thank you so much!
Click here to see answer by vleith(2983)

Question 146705: I have to write in standard form and determine the values of a, b, and c. Can you help me?
Page 575
Number 2
x^2 + 6x - 5 = 0
Click here to see answer by jim_thompson5910(35256)

Question 146762: I need exact solutions for x^2+12x+36=64
I know 2 is one solution, is there another one?
Click here to see answer by jim_thompson5910(35256)

Question 146874: This is a survey for school and I do not understand any of it any help would be appreciated... :)

1. Change to a decimal: 2.8%
2.8
28
0.028
280
2. 168 is what percent of 480?
29%
0.35%
2.9%
35%
3. 2x(3x - 4y) � 3x(-3x + 4y)
-3x� -20xy
15x� -20xy
-3x� +4xy
15x� -4xy
4. � 3�
-9
9
-6
6
5. x+5 = (1/2) (x-4)
12
0
6
-14
6. 6x -3 +3x -6 = 5x -12 +3x +5
5
2
5/2
-20
7.
The perimeter of a triangle is 148cm. If the second side is the same length as the first and the third side is 16cm more than the first, find the three sides.
48, 48, 52cm
44, 44, 60cm
50, 50, 60cm
66, 66, 16cm
8.
Jean has $2.20 in change. She has three times as many dimes as quarters. How many of each does she have?
9 dimes, 3 quarters
4 quarters, 12 dimes
12 quarters, 4 dimes
2 quarters, 17 dimes
9. (3x -2y)�
9x� -12xy +4y�
9x� -4y�
3x� -2y�
9x� -6xy +4y�
10. 4-�
1/12
-12
1/64
64
11. x� +14x +45
(x +2)(x +7)
(x-2)(x -7)
(x +5)(x +9)
(x -5)(x � 9)
12. 6x� +5x� +7x
prime
(3x +1)(2x +1)
(2x +7)(3x +1)
x(6x� +5x + 7)
13. 4x� +14x -30
2(2x -3)(x +5)
2(2x -5)(x +3)
(4x -6)((x +5)
(2x -3)(2x +10)
14. 4x -8/(6x� -12x)
(2x -2)/(3x� -3x)
2/3
4/(6x)
2/(3x)
15. (3x -9)/(4x +20) . (x� +3x -10)/(6x� -12x)
3/4
(x -5)/(4(x +5))
(x -3)/(8x)
-3/8
16. (x� -4x -5)/(x� +2x +1) � (x -5)/(x +4)
(x -5)�/((x +1)(x +4))
5
(x +1)(x +4)/(x� +1)
(x +4)/(x +1)
17. Find the slope of a line passing through (-4, 6) and (-2, 5)
-1/2
-2
1/2
1/6
18. Find the equation of the line passing through (2, 4) and (-3, 8)
4x +5y = 28
4x -5y = -12
5x +4y = 26
5x -4y = -6
19.
x +y = 2
3x -2y = 6

(1, 1)
(2,0)
Inconsistent
Dependent
20.
2x �y = 8
x + 2y = 14

(6, 4)
(2, -4)
(0, 7)
(8, 3)
21.
x -2y = 12
x +3y = 2

(10, -1)
(0, -6)
(1, 1/3)
(8, -2)
22. ��16x4y12
2x�y�
2xy�
4x�y6
4x�y4
23. 2/��12
1/��6
��6 /6
��12 /6
��3 /3
24.
The hypotenuse of a right triangle is 10. One side is 2 less than the other. Find the length of each leg.

3, 5
5, 7
8, 6
4, 6
25. x� +7x +10 = 0
5, 2
-5, 2
-5, -2
-2, 5

Click here to see answer by Fombitz(32388)

Question 147018: Solve and check each of the following for X:
[5/(x-2)]+[6/(x+2)]=2
Click here to see answer by edjones(8007)

Question 147017: Simplify each complex fraction:
A: [1+(3/4)]/[2-(1/8)]
B: [2+(x/y)]/(4/y)
Click here to see answer by Fombitz(32388)

Question 147060: Determine the quadradic function, whose graph is given?
vertex (-2,2)
y-intercept (0,-6)
Click here to see answer by giveback(3)

Question 147088: I need to solve using quadratic formula 2x^2-3x=-6 the solution set is { }
what I am coming up with is
-(-3)+-sqrt57/4
but I am stuck after that
any help would be appreciated! Thank you
Click here to see answer by stanbon(75887)

Question 147093: 2x^2-4x-7=0 solve by completing the square
Click here to see answer by jim_thompson5910(35256)

Question 147093: 2x^2-4x-7=0 solve by completing the square
Click here to see answer by solver91311(24713)

Question 147118: write a quadratic equation given the solutions X = 6 and X = -8

Click here to see answer by nabla(475)

Question 147133: Explain how the quadratic formula can be used to factor a quadratic polynomial into two binomials.
5x� + 8x + 3.

Click here to see answer by checkley77(12844)

Question 147129: x^2-5x+2=0
Click here to see answer by checkley77(12844)

Question 147128: 2x^2=3x+3
Click here to see answer by nabla(475)

Question 147128: 2x^2=3x+3
Click here to see answer by jim_thompson5910(35256)

Question 147160: I was given this problem and am not sure how to set up the quadratic formula. Could you please help?
"the production department of an electronics company projects the following costs to manufacture a new line of calculators marketing estimates the best retail price for the calculator is $92."
# of calculators cost to produce x calculators
0 $92,000
10 84,200
100 32,000
assuming this relationship is quadratic, find the quadratic function C(x)=ax^2+bx+c
Click here to see answer by mangopeeler07(462)

Question 147166: I was given this problem and am not sure how to determine the answers. Could you please help?
"the production department of an electronics company projects the following costs to manufacture a new line of calculators marketing estimates the best retail price for the calculator is $92."
# of calculators cost to produce x calculators
0 $92,000
10 84,200
100 32,000
assuming this relationship is quadratic, find the quadratic function C(x)=ax^2+bx+c: I was given this problem and am not sure how to set up the quadratic formula. Could you please help?
"the production department of an electronics company projects the following costs to manufacture a new line of calculators marketing estimates the best retail price for the calculator is $92."
# of calculators cost to produce x calculators
0 $92,000
10 84,200
100 32,000
1) assuming this relationship is quadratic, find the quadratic function C(x)=ax^2+bx+c
2) how many calculators must be sold to make this line of calculators profitable (what values of x make profit positive)?
Click here to see answer by stanbon(75887)

Question 147220: hwo many methods to solve quadratic equation
Click here to see answer by vleith(2983)

Question 147228: Hello.
The question is asking me to solve by completing the square. I have solved it so many times, and I keep getting it wrong. The answer I got was 25.
The problem is x^2-6x=16
Please help me, Thank you=)
Click here to see answer by terbear1963(43)

Question 147229: Basically it asks to solve by using the quadratic forumla, by leaving irrational roots in the simplest radical form.
The problem is 3x^2-4x-5=0
The trpuble I am having with this is solving it, I tried doing the problem by using the quadratic formula, but I get frustrated in the middle of the problem. I get stuck. Thank You if you are willing to take the time to help me=)
Click here to see answer by jim_thompson5910(35256)

Question 147227: Explain how the quadratic formula can be used to factor a quadratic polynomial into two binomials using this equation. I am not so interested in the solution as I am interested in the explanation of the steps in factoring this equation into two binomials.
5x� + 8x + 3.

Click here to see answer by jim_thompson5910(35256)

Question 147245: Solve by factoring:
x^2 � 13x = -12

Click here to see answer by jim_thompson5910(35256)

Question 147244: Solve using the square root property:
2x^2 � 35 = 15

Click here to see answer by jim_thompson5910(35256)

Question 147243: Solve using the square root property:
(x + 6)^2 = 4

Click here to see answer by jim_thompson5910(35256)

Question 147240: Solve using the quadratic formula:
x^2 � 3x = 7x � 2

Click here to see answer by jim_thompson5910(35256)

Question 147239: Solve using the quadratic formula:
x^2 � 7x � 1 = -7

Click here to see answer by jim_thompson5910(35256)

Question 147242: Solve by completing the square:
x^2 + 6x + 1 = 0

Click here to see answer by psbhowmick(878)

Question 147242: Solve by completing the square:
x^2 + 6x + 1 = 0

Click here to see answer by jim_thompson5910(35256)

Question 147258: Subtract the fractions:
[2/(5w + 10)] - [3/(2w - 4)]
Click here to see answer by jim_thompson5910(35256)

Question 147260: Solve and check each of the following for X:
A: (x/3)-2=1
B: (x/6)-(x/8)=1
Click here to see answer by jim_thompson5910(35256)

Question 147263: Add or Subtract the fractions. Express the answer in simplest form:
A: [(3b-8)/(b-6)]+[(b-16)/(b-6)]
B: [(5a-12)/(a^2-8a+15)]-[(3a-2)/(a^2-8a+15)]
Click here to see answer by jim_thompson5910(35256)

Question 147265: Write each fraction/expression in simplest form:
A: [18x^4(y^3)]/[24x^2(y^3)]
B: (4r^2-25s^2)/(2r^2+3rs-20s^2)
Click here to see answer by nerdybill(7384)

Question 147318: Divide the fractions:
[(x^2-2x)/4x] � [(6x-12)/8]

Click here to see answer by Earlsdon(6294)

Question 147347: Find b^2 - 4ac and the number of real solutions:
4m^2 + 25 = 20m
The book shows an answer of (0, 1)
I have tried to work it by changing to a quadratic and using the discriminant to figure the answer, but I end up with m = 5/2
I would greatly appreciate if someone can tell me how to work this problem. I am completely stumped. Thanks!
Click here to see answer by nabla(475)

Question 147116: x=5+f15

Click here to see answer by Alan3354(69443)

Question 147363: Please help us solve for f. Original problem was
We simplified this to but do not know were to go from here.
Thank you, Keith
Click here to see answer by jim_thompson5910(35256)

Question 147315: Subtract the fractions. Express the answer in simplest form:
[(5a-12)/(a^2-8a+15)]-[(3a-2)/(a^2-8a+15)]
Click here to see answer by Electrified_Levi(103)

Question 147432: Solve using the quadratic formula:
x2 � 7x � 1 = -7

Click here to see answer by oscargut(2103)

Question 147431: Solve using the quadratic formula:
x^2 � 3x = 7x � 2

Click here to see answer by nerdybill(7384)

Question 147430: Solve by completing the square:
x^2 + 6x + 1 = 0

Click here to see answer by nerdybill(7384)

Question 147427: solve by factoring
x^2 � 13x = -12
Click here to see answer by nerdybill(7384)

Question 147429: Solve using the square root property:
(x + 6)2 = 4

Click here to see answer by jim_thompson5910(35256)

Question 147428: Solve using the square root property:
2x^2 � 35 = 15

Click here to see answer by jim_thompson5910(35256)

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