Question

Solve the following quadratic equations by the method of perfect the square.
$5x^2-6x-2=0$

Answer 1

$5x^2-6x-2x^2-\frac{6}{5}x-\frac{2}{5}=0x^2-\frac{6}{5}x+\frac{36}{100}-\frac{36}{100}-\frac{2}{5}=0{(x-\frac{6}{5})}^2=\frac{76}{100}x-\frac{6}{5}=\pm \frac{\sqrt{76}}{10}x=\frac{6}{5}\pm \frac{\sqrt{76}}{10}$