A positive integer plus 32 and 132 is equal to the complete square. How much is the positive integer?
Let the positive integer be x, x + 32 = m ^ 2, x + 132 = n ^ 2
Subtracting (n + m) (n-m) = 100
(n + m) + (n-m) = 2n must be even
So (n + m) (n-m) is the same as odd and even
The result is (n + m) = 50, (n-m) = 2
The solution is n = 26, M = 24
X=24*24-32=544
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