Suppose xe^-x=(x-1)^2

Use the Mean value theorem to show that this equation has exactly two solutions...

Well I know the mean value theorem is

f'(c)= f(b)-f(a)/b-a

this is the f'(x)

how do we use the first derivative to show a solutions ??

Once again sorry guys- I'm just first year maths student

I'm just doing past papers and like they never taught us how to use mean value theorem but its in the exam ???????????

The notes only go in brief ?