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

**Solution:**

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

The standard form is ax^{2} + bx + c = 0

where, a = coefficient of x^{2},

b = coefficient of x and

c = constant term.

We know that

Discriminant D = b^{2} - 4ac

D = (1)^{2} - 4 × (1) × (2)

D = 1 - 8

D = - 7 < 0

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

Therefore, the value of the discriminant is -7.

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

**Summary:**

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

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