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

Question

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

Philoid · Accepted Answer

Given: x² – x + 2 = 0

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

a = 1, b = – 1, c = 2

Discriminant D = b² – 4ac

= (– 1)² – 4.1.2

= 1 – 8 = – 7 < 0

Hence the equation has no real roots.