Question

Find the discriminant of the following quadratic equations and hence determine the nature of the roots of the equation :
$4x^2-6x+2=0$

Answer 1

Given equation: $4x^2-6x+2=0$

$a=4,b=-6,c=2$

$D=b^2-4ac$

$⟹D=(-6{)}^2-4(4\left)\right(2)$

$⟹D=36-32$

$⟹D=4$

Thus $D>0$

$\therefore$ Roots are real and distinct.