Question

Solve the equation by finding square roots x^2 + 8x + 16 =9​

Answer 1

The left side can be condensed as a squared binomial:

`x^2+8x+16=(x+4)^2=9\implies x+4=\pm\sqrt9\implies x+4=\pm3`

`\implies\boxed{x=-1\text{ or }x=-7}`