# Inspired From Other

Find the number of ordered pairs of whole numbers $$(x,y)$$ satisfying $$(xy-7)^2 =x^2 +y^2$$.

If all these solutions can be expressed as $$(x_1, y_1) , (x_2 , y_2) , \ldots , (x_i , y_i)$$, find

$x_1 + y_1 + x_2 + y_2 + \cdots + x_i + y_i .$

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