Question

Complete the square to rewrite the equation in the form (x−h)2=p.

x2−6x−33=0
What is the equation in (x−h)2=p form?

(x−3)2=33

(x−3)2=42

(x−3)2=−33

(x−6)2=42

Answer 1

second option

Explanation:

Given

x² - 6x - 33 = 0 ( add 33 to both sides )

x² - 6x = 33

To complete the square

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

x² + 2(- 3)x + 9 = 33 + 9

(x - 3)² = 42 → second option