# What is the value of the discriminant for the quadratic equation 0 = x + 2 + x^{2}?

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

### Answer: The value of the discriminant for the quadratic equation 0 = x + 2 + x^{2 }is - 7.

Let's understand the solution in detail.

**Explanation:**

A discriminant of quadratic equation is a function of the coefficients of the polynomials. We can write the equation in the standard form ax^{2} + bx + c = 0, that is, x^{2} + x + 2 = 0.

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

Discriminant D = b^{2} - 4ac

⇒(1) ^{2} - 4 × (1) × (2)

⇒ 1 - 8

⇒ - 7 < 0

Since the value of the discriminant is negative, the equation has no real roots.

Check out the online discriminant calculator.