Question

Patel is solving 8x2 + 16x + 3 = 0. Which steps could he use to solve the quadratic equation? Check all that apply.

8(x2 + 2x + 1) = –3 + 8
x = –1
x = –1
8(x2 + 2x + 1) = 3 + 1
8(x2 + 2x) = –3

Answer 1

Patel needs to solve the quadratic equation. The steps in the solution are shown below:
8x² + 16x +3 =0
Transpose 3, we have:
8x² + 16x = -3
Factor out 8, we have:
8 (x² + 2x) = -3
Divide both sides by 8, we have:
x² + 2x = -3/8
Add 2 in both sides, we have:
x² + 2x +2= -3/8 +2
(x+`1)² = -3/10