Question

X+2=x to the second power +4 at x = 2

Answer 1

No it doesn't.

When x=2,

x + 2 = 4
and
x² + 4 = 4 + 4 = 8

If you want (x + 2) to be equal to (x² + 4),
then

either x = 0.5 + 1.323 i
or
x = 0.5 - 1.323 i . ' i ' = √-1

There are no other ways to do it.