Question

Find the discriminant of the following quadratic equations and hence determine the nature of the roots of the equation :
$\frac{1}{4}{x}^2-2x+1=0$

Answer 1

$\frac{1}{4}{x}^2-2x+1=0$

$x^2-8x+4=0$

$D\equiv 64-4\left(1\right)=60\ne \text{perfect square but}>0$

Roots are different and are irrational and real.