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A number plus 132 and 231 is completely square. What is the number?
Let this number be m, M + 132 = a ^ 2m + 231 = B ^ 2a, B is a natural number, and B ＞ a wants to subtract, we get: B ^ 2-A ^ 2 = 99 (B-A) (B + a) = 9999 = 1 * 99 = 3 * 33 = 9 * 11b + a > b-a1) B-A = 1b + a = 99 solution: a = 49, B = 50m = B ^ 2-231 = 2500-231 = 22692) B-A = 3B + a = 33 solution: a = 15, B = 18m = B ^ 2-231 = 93
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