# Thread: An odd imaginary number problem (a+bi form)

1. ## An odd imaginary number problem (a+bi form)

This problem:

Find all solutions of the equation and express them in the form a + bi.

x^2 +2/5x +5 =0

It is confusing me, since the answer shows as something that I don't know how to get to using the methods I know.

The answer is -1/5 + or - 2/1 X 31^1/2i

The 31 is raised to the 1/2 Power. I don't understand that. I must have forgot something from algebra dealing with that. Could someone tell me how that answer is gotten?

Thanks.

2. What do you get when you use the Quadratic Formula?

An exponent of "1/2" is a square root. Generally, $\sqrt{x} = x^{\frac{1}{2}}$