algebra
posted by Becky .
What would be the discriminant for this equation:
x^22x+12=0
How many solutions are there?
I have that the discriminant is 44 and since the discriminant is negative, the square root of the discriminant is a pure imaginary number.
Is this correct?

You are correct. The discriminant b^24ac is negative and therefore there are two complex solutions, and no real ones.
x = (1/2)[2 + i sqrt 44] = 1 + i sqrt 11
and
x = 1  i sqrt 11
where i = sqrt(1)