Complete the square to transform the quadratic equation into the form (x – p)2 = q. x2 - 12x - 5 = 7 a) (x - 36)2 = 9 b) (x - 6)2 = 48 c) (x - 36)2 = -9 d) (x - 6)2 = -48

(may i have an explanation or work that you did)

B

Step-by-step explanation:

given

x² - 12x - 5 = 7 ( add 5 to both sides )

x² - 12x = 12

To complete the square

add (half the coefficient of the x- term )² to both sides

x² + 2(- 6)x + (- 6)² = 12 + (- 6)²

x² + 2(- 6)x + 36 = 12 + 36 ← complete the square on the left side

(x - 6)² = 48 → B

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.