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Bleak Relationship #1

Algebra Level 3

\[\large 81^x + 81^y + 3^{\frac1x} + 3^{\frac1y} = 36 \]

How many ordered pairs of \((x,y) \) satisfy the equation above if \(xy>0 \)?

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Excel in math and science

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by Satyajit Mohanty

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