Find the discriminant

Question

Find the discriminant of −x^2 − 6x − 9 = 0.

The discriminant is ?

Question 2: Describe the number and type of solutions of the equations.

Answer 1

D = b² - 4ac

a = -1

b = -6

c = -9

Plug in the numbers and evaluate D. You can also multiply through by -1 and then

a = 1

b = 6

c = 9

It will give the same value for D.

If D > 0, you will have 2 different real solutions.

If D = 0, you will have one real solution.

If D < 0, you will have 2 different complex solutions.