No, the problem lies in the fact that people are thinking of X and 2X as being two different ways of writing the same function.

They are two different functions which just happen to give the same result at one particular value.

Try thinking of Higher maths questions where a circle and a straight line meet at a tangent; two very different functions but they share one set of values.

Come to think of it, does that mean that a circle is really a straight line?

^{2}

*is*equal to x added together x times, for all integer values of x (in fact I think this even holds true for real value of x). If x was added together two times, then it would equal 2x and x

^{2}= 2x would only be true if x = 2. However, if x = 3, then x

^{2}= 3x. If we keep doing this we see that x

^{2}= x.x = x added together x times -it doesn't matter what integer x is.