Complete the square to transform the quadratic equation into the form (x - p) 2 = q.

x2 - 6x - 8 = 6

A) (x - 6) 2 = 9

B) (x - 3) 2 = 23

C) (x - 6) 2 = - 9

D) (x - 3) 2 = - 23

Question

Mohammad Bond

Mathematics

24 January, 21:26

Complete the square to transform the quadratic equation into the form (x - p) 2 = q.

x2 - 6x - 8 = 6

A) (x - 6) 2 = 9

B) (x - 3) 2 = 23

C) (x - 6) 2 = - 9

D) (x - 3) 2 = - 23

+5

Answers (1)

Know the Answer?

Daniel Mckenzie · Answer 1

B

Step-by-step explanation:

Given

x² - 6x - 8 = 6 (add 8 to both sides)

x² - 6x = 14

To complete the square

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

x² + 2 ( - 3) x + 9 = 14 + 9

(x - 3) ² = 23 → B

Complete the square to transform the quadratic equation into the form (x - p) 2 = q.x2 - 6x - 8 = 6A) (x - 6) 2 = 9B) (x - 3) 2 = 23C) (x - 6) 2 = - 9D) (x - 3) 2 = - 23

Complete the square to transform the quadratic equation into the form (x - p) 2 = q.

x2 - 6x - 8 = 6

A) (x - 6) 2 = 9

B) (x - 3) 2 = 23

C) (x - 6) 2 = - 9

D) (x - 3) 2 = - 23