Question

Solve each of the following quadratic equations:
$a^2{b}^2{x}^2+b^{2}x-a^{2}x-1=0$

Answer 1

$a^2{b}^2{x}^2+b^{2}x-a^{2}x-1=0$

$b^{2}x(a^{2}x+1)-1(a^{2}x+1)=0$

$(b^{2}x-1)(a^{2}x+1)=0$

if$b^{2}x-1=0$

$b^{2}x=1$

$x=\frac{1}{b^2}$

if $a^{2}x+1=0$

$a^{2}x=-1$

$x=\frac{-1}{a^2}$