Prove that if x is an integer and x 5, then x has a square mate y with y < x. You may

Chapter 0, Problem 20

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Prove that if x is an integer and x 5, then x has a square mate y with y < x. You may use the following fact in your proof. If x is a positive integer, then x lies between two consecutive perfect squares; that is, there is a positive integer a such that a 2 x < .a C 1/2 .

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