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How many solutions are there for 

F(x)= 2^(x) - x-2

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Maths Tutor for the last 15 years - an IIT Engineer with 22 years' experience in the IT Industry

(I am assuming that you mean 2^x and not x^2. ) If x is an integer, then by substituting values, you can easily find out that there can be only 1 solution, i.e. 2.
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