Find the nature of the roots of the following quadratic equations:

Question

Find the nature of the roots of the following quadratic equations: 5x 2 – 4x + 1 = 0

Philoid · Accepted Answer

Given: 5x² – 4x + 1 = 0

Comparing with standard quadratic equation ax² + bx + c = 0

a = 5, b = – 4, c = 1

Discriminant D = b² – 4ac

= (– 4)² – 4.5.1

= 16 – 20 = – 4 < 0

Hence the equation has no real roots.