Find the nature of the roots of the following quadratic equations:

2x² + x – 1 = 0

Nature of the quadratic equation can be found out using the following formula

b² – 4ac > 0 for real roots

When we compare the above quadratic equation with the generalized one we get,

ax² + bx + c = 0

a = 2

b = 1

c = -1

⟹ (1)² – (4 × 2 × -1)

⟹ 1 – (-8)

⟹ 1 + 8

⟹ 9

The answer is positive and also a perfect square which implies that the quadratic equation has real and distinct roots.