Question

Solve the following quadratic equation by factorisation method $x^2+10x+24=0$.

Answer 1

$x^2+10x+24=0$
$x^2+6x+4x+24=0$
$\therefore x(x+6)+4(x+6)=0$
$(x+6)(x+4)=0$
$\therefore x+6=0$ or $x+4=0$
$\therefore x=-6$ or $x=-4$
$x=-6,-4$