I need to find the area of the curve between 2 functions:

and

Taking the integral of both is easy:

and

At this point I know I need to find the intersects of the functions so I can then find the definitive integral.

I begin the process like so:

Then:

Then:

At this point I think I am just having a brain spaz as I don't know how to get the 2 points I need so I can plug them into the functions. Am I doing something wrong and in general, do I have the correct idea?