Question

Find the nature of the roots of the following quadratic equations. If roots are real, find them.
$5x^2-3x+2=0$

Answer 1

$\Rightarrow 5x^2-3x+2=0$

discriminant $=b^2-4ac.$

$\Rightarrow (-3{)}^2-4(5\left)\right(2)=9-40$

$=-31$ ( negative )

$\therefore$ Roots are lmaginary