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

Question

Mathematics

Sidney Knapp

5 January, 04:29

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

+1

Answers (1)

Know the Answer?

Karina Gutierrez · Answer 1

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

Use the method of completing the square to transform the quadratic equation into the equation form (x + p) 2 = q.6 + 12x + 3x2 = 0A) (x + 2) 2 = 2B) (x + 2) 2 = - 2C) (x + 2) 2 = 4D) (x + 2) 2 = - 4

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