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If x and y are non-zero integers, is x = y ?

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If x and y are non-zero integers, is x = y ?

(1) (x-25)^2 = (y-25)^2

(2) x/y = y/x

I have been told that (x-25)^2 = (y-25)^2 is the same as (x-25) = (y-25)

In my defence, if I think x^2 = y^2 is the same as x=y , isn't thinking 9^2 = 5^2 the same thing?

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