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)

Question

Mathematics

Madalyn Booth

8 April, 04:34

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)

+1

Answers (2)

Know the Answer?

Gunnar Rivera · Answer 1

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

Alejandro Johnston · Answer 2

x2 - 12x - 12 = 0

(x - 6) 2 - 48 = 0

(x - 6) 2 = 48

Hence, the answer is (B).

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)

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)