Question

Solve the given quadratic equation by factorisation method, $6-p^2=p$

Answer 1

The given quadratic equation $6-p^2=p$ can be factorised as follows:

$6-p^2=p\Rightarrow p^2+p-6=0\Rightarrow p^2+3p-2p-6=0\Rightarrow p(p+3)-2(p+3)=0\Rightarrow (p-2)=0,(p+3)=0\Rightarrow p=2,p=-3$

Hence, $p=2$ or.$p=-3$