Yes, it's about real and complex numbers.



If it had a real solution then they would be 
the x-intercepts of the graph of



For the x-intercepts are when y = 0.  But as you see
when looking at the graph of 

 

It doesn't intercept the x-axis at all!  That means

that the value of y can never be 0.  You can also
tell that it has no real solutions by the quadratic
formula:



a=1, b=4, c=8

















The solutions are complex numbers, and do not 
appear on the graph of 

Edwin