Question

Anderson uses the discriminant to correctly find the number of real solutions of the quadratic equation one-halfx2 + 4x + 8 = 0. Which explanation could Anderson provide?

Answer 1

No real roots.

Explanation:

Discriminant = b^2 - 4ac ( for the equation ax^2 + bx + c = 0)

Here it is 4^2 - 4*1*8

= `6 - 32

= -16.

This is negative so there are no real roots.