Question

Find the discriminant of the following quadratic equations and hence determine the nature of the roots of the equation :
$5x^2-6x+2=0$

Answer 1

$5x^2-6x+2=0$

$D\equiv 6^2-4\left(2\right)\left(5\right)=36-40=-4<0$

Roots are imaginary & conjugate of each other.