### Home > A2C > Chapter Ch9 > Lesson 9.2.2 > Problem 9-91

9-91.

Find the discriminant.

*b*^{2} − 4*ac* = 0^{2} − 4(1)(−6) = 24

This equation has real roots.

*b*^{2} − 4*ac* = 0^{2} − 4(1)(6) = −24

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).