Consider the following definition: A pair of positive integers, x and y, are called
Chapter 0, Problem 18(choose chapter or problem)
Consider the following definition: A pair of positive integers, x and y, are called square mates if their sum, x C y is a perfect square. (The concept of square mates was contrived just for this test, problems 18 to 20.) For example, 4 and 5 are square mates because 4 C 5 D 9 D 3 2 . Likewise, 8 and 8 are square mates because 8 C 8 D 16 D 4 2 . However, 3 and 8 are not square mates. Explain why 10 and 1 are not square mates.
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