Question

Find the roots of the following quadratic equation by factorisation.
$x^2+x-6=0$.

Answer 1

the given equation is $x^2+x-6=0$

$\Rightarrow$$x^2+3x-2x-6=0$

$\Rightarrow$$x(x+3)-2(x+3)=0$

$\Rightarrow$$(x-2)(x+3)=0$

$\Rightarrow$$x=2$ or $-3$

$\therefore$ the roots are $2,-3$