Question

Find the discriminant of the following quadratic equations and hence determine the nature of the roots of the equation :
$5x^2-4\sqrt{5}x+4=0$

Answer 1

$5x^2-4\sqrt{5}x+4=0$

$D\equiv (4\sqrt{5}{)}^2-4(4\left)\right(5)=0$

Roots are equal & irrational real as b is irrational.