Find all positive integers n such that 32n + 3n2 + 7 is a perfect square.
Let , where a is a natural number.
If , then
Hence, n = 1 or 2.
If n = 1, then
but this is not a perfect square.
If n = 2, we obtain
Hence n = 2 is the only solution.
Find all positive integers n such that 32n + 3n2 + 7 is a perfect square.
Let , where a is a natural number.
If , then
Hence, n = 1 or 2.
If n = 1, then
but this is not a perfect square.
If n = 2, we obtain
Hence n = 2 is the only solution.