Question

Use the discriminant to determine the nature of the roots of 8x2 = 0.

Answer 1

It's a quadratic equation in standard form, \(ax^2+bx+c=0\), but in this case, a=8, and b=c=0.

The discriminant, D, \(=b^2-4ac\).

Since b and c are both zero, the discriminant is zero.

What does that tell you?

Answer 2

well im looking for the root

Answer 3

Your question asks "to determine the nature of the roots."

Finding the root itself is trivial.

Answer 4

so, the answe is one real root?