Question

Solve the following quadratic equation by completing the square method.
$9y^2-12y+2=0$

Answer 1

$9y^2-12y+2=0$

$9y^2-12y+4-4+2=0$

$(3y-2{)}^2=2$

$3y=2\pm \sqrt{2}$

$y=\frac{2\pm \sqrt{2}}{3}$

on siyplifying,

$y=\frac{2+\sqrt{2}}{3}$ and $y=\frac{2-\sqrt{2}}{3}$