The previous LaTeX routine, that used "math" and "/math" isn't working. However, it appears that using "tex" and "\tex" will work:

To show that "r= 2 is the only real solution for this equation", first show that r= 2isa solution:

And since r= 1issoluton, x- 2 is a factor of that equation:

What you need to do is find that quadratic factor- find a, b, c by, perhaps by multiplying out the right side and setting corresponding cooefficients equal, getting three equations for a, b, and c, perhaps by dividing by x- 2- and showing that the quadratic has no real zeros.