Question

Which of the following equations has two real and distinct roots?

Options

• x² – 5x + 6 = 0

• x² – 3x + 6 = 0

• x² – 2x + 5 = 0

• x² – 4x + 6 = 0

Answer 1

x² – 5x + 6 = 0

Explanation:

Given quadratic equation be

x² – 5x + 6 = 0

On comparing with ax² + bx + c = 0;

We have a = 1; b = – 5 and c = 6

Here, discriminant = D

= b² – 4ac

= (– 5)² – 4 × 1 × 6

= 25 – 24

= 1 > 0

∴ Roots are real and distinct roots.