If the quadratic takes the form, (x+5)^2 = 10
then x+5 = ±√10
or x = -5+√10 , -5-√10.
Does this mean the solution is a not a real number?

Question

anonymous · Answer

Also does it mean does a negative number have to be on the other side of the equals sign to be considered a complex number?

anonymous · Answer

It has real solutions x = -5+√10 , -5-√10
They aren't pretty but they are real numbers

anonymous · Answer

why are they real numbers?

anonymous · Answer

because they are not imaginary. The only time you have non-real answers is if you have the square root of a negative number