Question

Solve the following quadratic equation by factorization method $x^2+9x+8=0$.

Answer 1

$x^2+9x+8=0$
$\Rightarrow x^2+8x+x+8=0$
$\Rightarrow x(x+8)+1(x+8)=0$
$\Rightarrow (x+8)(x+1)=0$
$\therefore x+8=0\Rightarrow x=-8$
$\therefore x+1=0\Rightarrow x=-1$.