Question

Use the method of completing the square to transform the quadratic equation into the equation form (x + p)2 = q.

6 + 12x + 3x2 = 0
A) (x + 2)2 = 2
B) (x + 2)2 = -2
C) (x + 2)2 = 4
D) (x + 2)2 = -4

Answer 1

Answer:

A

Step-by-step explanation:

Given

3x² + 12x + 6 = 0 ( divide through by 3 )

x² + 4x + 2 = 0 ( subtract 2 from both sides )

x² + 4x = - 2

To complete the square

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

x² + 2(2)x + 4 = - 2 + 4

(x + 2)² = 2 → A