### Home > A2C > Chapter 9 > Lesson 9.2.2 > Problem 9-91

9-91.

Decide which of the following equations have real roots, and which have complex roots without completely solving them.

Find the discriminant.

This equation has real roots.

This equation has complex roots.

See part (b).

This equation has complex roots.

See part (a).

Find the vertex.

Is it above or below the*x*-axis?

See part (e).