Question

Solve the following quadratic equations by the method of perfect the square.
$3x^2-5x+2=0$

Answer 1

$3x^2-5x+2=0x^2-\frac{5}{3}x+\frac{2}{3}=0x^2-\frac{5}{3}x+\frac{25}{36}-\frac{25}{36}+\frac{2}{3}=0{(x-\frac{5}{3})}^2-\frac{1}{36}=0{(x-\frac{5}{3})}^2=\frac{1}{36}(x-\frac{5}{3})=\pm \frac{1}{6}x=\frac{5}{3}\pm \frac{1}{6}x=\frac{11}{6},\frac{9}{6}$