Question

determine the nature of roots of quadric equations 4x square -4x+1=0

Answer 1

Nature of roots is determined by discriminant
discriminant∆
$= {b}^{2} - 4ac \\ = { (- 4)}^{2} - 4 \times4 \times 1 \\ = 16 - 16 \\ = 0$
Discriminant is 0 hence roots are real and equal