Question

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

Answer 1

value of the discriminant for the quadratic equation is, -7

Explanation:

A quadratic equation is in the form of :
`ax^2+bx+c = 0` ...[1]

then the discriminant(D) is given by:

`D = b^2-4ac`

Given the quadratic equation:

`0 = x+2+x^2`

We can write this as:

`x^2+x+2 = 0`

On comparing with [1] we have;

a = 1, b =1 and c = 2

then;

`D = 1^2-4(1)(2) = 1-8 = -7`

Therefore, the value of the discriminant for the quadratic equation is, -7

Answer 2

0 = x + 2 + x^2
x^2 + x + 2 = 0
a = 1, b = 1, c = 2

discriminant = b^2 - 4ac = 1^2 - (4 x 1 x 2) = 1 - 8 = -7