Question

Which of the following is an equivalent equation to completing the square of the expression x^2 +8x +12 = 0? Select one. A) (x + 4)^2 = 4 B) (x − 4)^2 = 4 C) (x + 8)^2 = 8 D) (x - 8)^2 = 8

Answer 1

$\begin{gathered} (x+4)^2=4 \\ x^2+2\cdot x\cdot4+4^2=4 \\ x^2+8x+16=4 \\ x^2+8x+16-4=0 \\ x^2+8x+12=0 \\ The\text{ equation }(x+4)^2=4\text{ is equivalent to }x^2+8x+12=0 \end{gathered}$