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.