Question

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?

Answer 1

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?

Answer 2

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

Answer 3

why are they real numbers?

Answer 4

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