Solve The Equation With Square Roots

Algebra Level 5

How many integer values of \(N\) satisfy the following equation:

\[ \sqrt{ N+20 - 10\sqrt{N-5} } + \sqrt{ N + 44 + 14 \sqrt{N-5} } = 12 \]

Details and assumptions

The domain of the square root function is non-negative reals.

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