# If the discriminant of an equation is negative which of the following is true of the equation?

# (a) It has 2 complex solutions

# (b) It has 2 real solutions

# (c) It has one real solution.

A quadratic equation is in the form of ax^{2} + bx + = 0. We can calculate the roots of the quadratic equation using the quadratic equation root calculator.

## Answer: Option (a) It has 2 complex solutions; is true if the discriminant of an equation is negative.

Let's find the value of discriminant and nature of roots.

**Explanation:**

A discriminant of a quadratic equation is a function of the coefficients of the polynomials.

The nature of roots of a quadratic equation and the type of solution can be found by the discriminant.

The discriminant is given by D = b^{2} - 4 ac

- If D > 0, the equation has two real solutions.
- If D = 0, the equation has real and equal solutions.
- If D < 0, the equation has no real solutions or complex solutions.

Where a = coefficient of x^{2}, b = coefficient of x and c = constant term.