Question

Equation 2x² – 3x + 1 = 0 has ______.

Options

• distinct and real roots

• no real roots

• equal roots

• imaginary roots

Answer 1

Equation 2x² – 3x + 1 = 0 has distinct and real roots.

Explanation:

Given quadratic equation be

2x² – 3x + 1 = 0

On comparing with ax² + bx + c = 0

We have, a = 2; b = – 3 and c = 1

Here, discriminant = D

= b² – 4ac

= (–3)² – 4 × 2 × 1

= 9 – 8

= 1 > 0

Thus, roots are real and distinct.