Solve a^2 x^2-b^2=0 - Vidyadip

Question

Solve $a^2 x^2-b^2=0$

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Answer

$a^2 x^2-b^2=0$
$\Rightarrow(a x)^2-b^2=0 $
$\Rightarrow(a x+b)(a x-b)=0$
If $a x+b=0$ and $a x-b=0$
then $x=\frac{-b}{a}$ and $x=\frac{b}{a}$

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