Problem of the Day A

How many solutions are there to 2 a 3 b + 9 = c 2 2^{a}3^{b} +9 =c^2 such that a , b , a,b, and c c are nonnegative integers.

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The answer is 6.

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1 solution

Terza Reyhan
May 29, 2015

Translate : a, b, and c are non-negative integers (c > 3), "2^a * 3^b = (c-3) (c+3)". Sorry I can't give the solutions for now, Answer [a, b, and c] : [4,0,5]; [0,3,6]; [3,2,9]; [3,3,15]; [4,3,21]; and [5,4,51] *CMIIW

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