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Find all ordered pairs (m, n) of positive integers such that the m2 - n2 = 96.
Solution
their are totally 16 orders pairs for the given solutions they are {m == -25, n == -
23}, {m == -25, n == 23}, {m == -14, n == -10}, {m == -14, n == 10}, {m == -11, n == -5}, {m
== -11, n == 5}, {m == -10, n == -2}, {m == -10, n == 2}, {m == 10, n == -2}, {m == 10, n ==
2}, {m == 11, n == -5}, {m == 11, n == 5}, {m == 14, n == -10}, {m == 14, n == 10}, {m ==
25, n == -23}, {m == 25, n == 23}}

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Find all ordered pairs (m, n) of positive integers such that the m2 .pdf

  • 1. Find all ordered pairs (m, n) of positive integers such that the m2 - n2 = 96. Solution their are totally 16 orders pairs for the given solutions they are {m == -25, n == - 23}, {m == -25, n == 23}, {m == -14, n == -10}, {m == -14, n == 10}, {m == -11, n == -5}, {m == -11, n == 5}, {m == -10, n == -2}, {m == -10, n == 2}, {m == 10, n == -2}, {m == 10, n == 2}, {m == 11, n == -5}, {m == 11, n == 5}, {m == 14, n == -10}, {m == 14, n == 10}, {m == 25, n == -23}, {m == 25, n == 23}}