Question

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

Options

• Real and Equal

• Irrational

• Real and distinct

• Not-real

Answer 1

The quadratic equation x² + x + 1 = 0 has not-real roots.

Explanation:

Given equation is x² + x + 1 = 0

where a = 1, b = 1, c = 1

D = b² − 4ac

= (1)² − 4 × 1 × 1

D = –3

Where D < 0

When D < 0 roots are not-real.