Question

Solve the following quadratic equation by factorization method:
$25x^2-36=0$

Answer 1

$25x^2-36=0$
$(5x{)}^2-6^2=0$
$(5x-6)(5x+6)=0$
$\therefore 5x-6\Rightarrow 5x=6$
$\Rightarrow x=\frac{6}{5}$
or $5x+6=0$
$\Rightarrow 5x=-6$
$\Rightarrow x=-\frac{6}{5}$
$\therefore x=\frac{6}{5}$ or $x=-\frac{6}{5}$