Question

Describe the solutions to the quadratic equation below:

A. 2 rational roots
B. 2 irrational roots
C. 1 rational (double) root
D. 2 complex roots

Answer 1

\[\large x^2+6x+9=0\]
This particular quadratic factors nicely.
Have you been working with factoring?

Or are you more familiar with the Quadratic Formula?

\[\large x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}\]

Answer 2

not necessarily familiar.

Answer 3

a=1
b=6
c=9 ?

Answer 4

Yes.

If we end up with a negative value under the square root, we can immediately determine that we have `2 complex solutions`, because complex solutions always come in pairs.