What is the solution to 2x2+x+2 = 0?

Step-by-step explanation:

Plug this into the quadratic formula.  It's the easiest and surest way to solve a quadratic.  

a = 2

b = 1

c = 2

Filling in the quadratic formula:

which simplifies to

You can't have a negative under the square root sign (or ay even index radical, for that matter), so we will rewrite it as

and since i-squared is equal to -1:

The only perfect square we can pull out of that square root is the i from the i-squared, so when we do that we get:

or you could put the i out front; it doesn't change the answer at all.  The third choice down is the one you want.