Question

x^2 + 2x + 5 =0 Discuss the nature of solutions of the following Quadratic equations.​

Answer 1

Given,

The quadratic equation x² +2x +5 is given.

To find,

The nature of solutions of the given quadratic equation x² +2x +5.

Solution,

The given quadratic equation x² +2x +5 has imaginary solutions.

We can simply find the nature of solutions of the given quadratic equation by using the discriminant formula.

            D = b² - 4ac

            D = (2)² - 4(1)(5)

            D = 4-20

            D = -16

Since the value of the discriminant is negative i.e. D<0, then the quadratic equation has imaginary solutions.

Hence, x² +2x +5 has imaginary solutions.