Sunday, December 5, 2010

Find (x,y) to get square numbers

Find all ordered pairs (x, y) such that x and y are integers and

(1) 1^x + 9^y is a perfect square
(2) 2^x + 8^y ...............................
(3) 3^x + 7^y ................................
(4) 4^x + 6^y ...............................
(5) 5^x + 5^y ...............................


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