What is the value of the discriminant for the quadratic equation 0 = x + 2 + x²?

Solution:

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

The standard form is ax² + bx + c = 0

where, a = coefficient of x², 

b = coefficient of x and 

c = constant term.

We know that

Discriminant D = b² - 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 + x² ?

Summary:

The value of the discriminant for the quadratic equation 0 = x + 2 + x² is -7.