Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 146209: When the parabola: intersects the x-axis at one point, then a must equal ___ or ___.
What I've got so far, (not a lot unfortunately):

and here I become unstuck. No use of graphics calculator permitted. Much thanks for any help!

Click here to see answer by oscargut(891)

Question 146210: how to solve this one 3(2w)-[w-z-(w+z)]? please show the solution :D thanyou.
Click here to see answer by checkley77(12569)

Question 146222: Factor: 4p^2 - 8p - 60
Click here to see answer by nabla(475)

Question 146238: Factor Completely : 12b^3 - 86b^2 + 14b
Click here to see answer by Earlsdon(6287)

Question 146236: Factor each Polynomial: 3a^3 + 3ab^2 + 2(a^2)b + 2b^3
Click here to see answer by scott8148(6628)

Question 146211: Factor : x^2 - 8xy + 12y^2 = (x -2y)(x -6y) Is this correct?
Click here to see answer by scott8148(6628)

Question 146364: I have to use the factoring method, solve for the roots this quadric equation and have to place the equation in standard form before factoring... Can you please help me? I don't get it at all. Thank you...:)
Page575
Number 14
x^2 + 3x - 40 = 0
Click here to see answer by scott8148(6628)

Question 146365: Using the factoring method, solve for the roots of this quadric equation and be sure to place the equation in standard form before factoring... Can you help? Thanks:)
Page 575
Number 20
x^2 = 10x - 24
Click here to see answer by scott8148(6628)

Question 146366: Using the factoring method, solve for the roots of this quadric equation and be sure to place the equation in standard form before factoring...Can you please help me? Thanks :).
Page 575
number 24
p^2 + 15p + 25 = 6p + 5

Click here to see answer by scott8148(6628)

Question 146363: I have to write in standard form and determine the values of a,b, and c. CAn you please help me?
Page 575
Number 6
3x^2 + 10x + 8 = -17x - 2
Click here to see answer by Earlsdon(6287)

Question 146362: I have to write in standard form and determine the values of a,b, and c. Can you help me?
Page 575
Number 4
4x^2 + 20x = 0
Click here to see answer by aswathytony(47)

Question 146530: (r^8t^7)^-7
Click here to see answer by stanbon(57285)

Question 146569: I have to solve using the quadric formula and if there are no real roots , say so. Can you please help me?
Page 588
Number 8
x^2 + 9x + 7 = 0
Click here to see answer by Alan3354(30993)

Question 146571: I have to solve using the quadric formula and if there are no real roots say so...Can you please help me? Thanks...:)
Page588
Number 14
3 = 7x - 4x^2
Click here to see answer by Alan3354(30993)

Question 146572: I have to sove using the quadric formula and if there are no real roots say so...Please help me ands thanks...:)
Page 588
Number 20
3x^2 - 4x + 2 = 0
Click here to see answer by Alan3354(30993)

Question 146570: I have to solve using the quadric formula and if there are no real roots say so. Can you help me please?
Page 588
Number 10
3x^2 + 7x - 6 = 0
Click here to see answer by Alan3354(30993)

Question 146616: If each side of a square is lengthened by 4m, the area becomes 49m^2.Find the length of a side of the original square
Click here to see answer by Fombitz(13828)

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(13828)

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(2825)

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(28536)

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(28536)

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)
-3x² -20xy
15x² -20xy
-3x² +4xy
15x² -4xy
4. – 3²
-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)²
9x² -12xy +4y²
9x² -4y²
3x² -2y²
9x² -6xy +4y²
10. 4-³
1/12
-12
1/64
64
11. x² +14x +45
(x +2)(x +7)
(x-2)(x -7)
(x +5)(x +9)
(x -5)(x – 9)
12. 6x³ +5x² +7x
prime
(3x +1)(2x +1)
(2x +7)(3x +1)
x(6x² +5x + 7)
13. 4x² +14x -30
2(2x -3)(x +5)
2(2x -5)(x +3)
(4x -6)((x +5)
(2x -3)(2x +10)
14. 4x -8/(6x² -12x)
(2x -2)/(3x² -3x)
2/3
4/(6x)
2/(3x)
15. (3x -9)/(4x +20) . (x² +3x -10)/(6x² -12x)
3/4
(x -5)/(4(x +5))
(x -3)/(8x)
-3/8
16. (x² -4x -5)/(x² +2x +1) ÷ (x -5)/(x +4)
(x -5)²/((x +1)(x +4))
5
(x +1)(x +4)/(x² +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. ã16x4y12
2x²y³
2xy³
4x²y6
4x²y4
23. 2/�ã12
1/ã6
ã6 /6
ã12 /6
ã3 /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. x² +7x +10 = 0
5, 2
-5, 2
-5, -2
-2, 5

Click here to see answer by Fombitz(13828)

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(7569)

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(13828)

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(57285)

Question 147093: 2x^2-4x-7=0 solve by completing the square
Click here to see answer by jim_thompson5910(28536)

Question 147093: 2x^2-4x-7=0 solve by completing the square
Click here to see answer by solver91311(16872)

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.
5x² + 8x + 3.

Click here to see answer by checkley77(12569)

Question 147129: x^2-5x+2=0
Click here to see answer by checkley77(12569)

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(28536)

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(57285)

Question 147220: hwo many methods to solve quadratic equation
Click here to see answer by vleith(2825)

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(28536)

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.
5x² + 8x + 3.

Click here to see answer by jim_thompson5910(28536)

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

Click here to see answer by jim_thompson5910(28536)

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

Click here to see answer by jim_thompson5910(28536)

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, 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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, 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