posted by Becky on .
What would be the discriminant for this equation:
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^2-4ac is negative and therefore there are two complex solutions, and no real ones.
x = (1/2)[2 + i sqrt 44] = 1 + i sqrt 11
x = 1 - i sqrt 11
where i = sqrt(-1)