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

2x² + 5x + 5 = 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 = 5

c = 5

⟹ (25)² – (4 × 2 × 5)

⟹ 25 - 40

⟹ -15

The answer is negative which implies that the quadratic equation does not have real roots that is they have imaginary roots.