Find the root of the following quadratic equations, if they exist, by using the quadratic formula by Shridharacharya Method:

x² + 4x + 5 = 0

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

ax² + bx + c = 0

a = 1

b = 4

c = 5

There is one formula developed by Shridharacharya to determine the roots of a quadratic equation which is as follows:

Before putting the values in the formula let us check the nature of roots by b² – 4ac >0

⟹ (4)² – (4 × 1 × 5)

⟹ 16 – 20

⟹ -4

Since b² – 4ac = -4 the roots are imaginary.

Therefore the given quadratic equation does not has real roots.