Question

Solve:
$a^2{x}^2-3abx+2b^2=0,x=\frac{a}{b},x=\frac{b}{a}$

Answer 1

$a^2{x}^2-3abx+2b^2=0$

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

$ax(ax-b)-2b(ax-b)=0$

$(ax-2b)(ax-b)=0$

$x=\frac{+2b}{a},x=\frac{b}{a}$.