please help?

Question

6: x2 - 8x + 6x = 48
0, 6
-8, 6
-6, 8


7: 10x2 + 16x - 55x - 88 = 0
11/2, -8/5
-11/2, 8/5
-2/11, 5/8


8: x2 + x - 3x = 3
-3, 1
-1, 3
3


9: x2 - 23x + 132 = 0
11, 12
-11, -12
-12


10: x2 - 24x = -144
144
-12, 12
12

Answer 1

6) x^2 - 8x + 6x = 48
x^2 - 8x + 6x - 48 = 0
(x - 8)(x + 6) = 0
x = 8, -6

7) 10x^2 + 16x - 55x - 88 = 0
10x^2 + 16x - 55x - 88 = 0
(5x + 8)(2x - 11) = 0
x = -8/5, 11/2

8) x^2 + x - 3x = 3
x2 + x - 3x - 3 = 0
(x + 1)(x - 3) = 0
x = -1, 3

9) x^2 - 23x + 132 = 0
(x - 11)(x - 12) = 0
x = 11, 12

10) x^2 - 24x = -144
x^2 - 24x + 144 = 0
(x - 12)(x - 12) = 0
x = 12

Answer 2

6).

X²- 8x + 6x = 48

Collect like terms

x² - 2x = 48

Transpose 48

x² - 2x - 48 = 49 - 48

x² - 2x - 48 = 0

The middle term is - 2x

Find the sum of the middle term

The first term x² = 1

Multiply the first term 1 times the last term 48 equas 48 and factor

The factors of 48

1 x 48
2 x 24
3 x 16
4 x 12
6 x 8. . .←. .Use these factos

- 8 and + 6 satisfy the sum of the middle term

insert - 8x and + 6x into the equation

x² - 2x - 48 = 0

x² - 8x + 6x - 48 = 0

group factor

(x² - 8x) + (6x - 48) = 0

x(x - 8) + 6(x - 8) = 0

(x + 6)(x - 8) = 0

- - - - - - - -

Roots

x + 6 = 0

x + 6 = 6 0 - 6

x = - 6

- - - - - - -

x - 8 = 0

x - 8 + 8 = 0 + 8

x = 8

- - - - - - - s-

Answer 3

It is shameful that you use multiple questions to have us do your homework for problems 6 through 20. I think you should be banned from asking further questions.