Question

The quadratic equation x² + x + 1 = 0 has ______.

Options

• real and distinct roots

• no real roots

• two equal roots

• none of these

Answer 1

The quadratic equation x² + x + 1 = 0 has no real roots.

Explanation:

x2 + x + 1 = 0

Δ = b2 − 4ac

= 12 − 4(1) (1)

= 1 − 4

= −3

Since Δ < 0, the equation has no real roots.