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Polynomial Functions

Express [ x ,...

Question

Express $[(x, y) : x^{2} + y^{2} = 25, where x, y ϵ W]$ as a set of ordered pairs.

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Solution

It is easy to verify that each of the following ordered pairs of whole numbers satisfies the given relation $x^{2} + y^{2} = 25$

(5, 0), (0, 5), (3, 4) and (4, 3)

Hence, the set of required ordered pairs is

[(5, 0), (0, 5), (3, 4), (4, 3)]

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