Question

The roots of the equation 7x² + x – 1 = 0 are:

Options

• real and distinct

• real and equal

• not real

• none of these

Answer 1

real and distinct

Explanation:

Here a = 2, b = 1, c = –1

∴ D = b² – 4ac = (1)² – 4 × 2 × (–1) = 1 + 8 = 9 > 0

∴ Roots of the given equation are real and distinct.