integers

P and Q are two positive integers such that P² = Q² + 13. The product of the numbers P and Q is

Let x and y be integers satisfying the following equations 2x² + y² = 34 x + 2y = 11 The value of (x + y) is _________.

For what values of k given below is $${{{{\left( {k + 2} \right)}^2}} \over {k - 3}}$$ an integer?