# Conceptual Equation

Find all pairs of integer solutions satisfying $$x^2(y-1)+y^2(x-1)=1$$

If the solutions can be represented in the form $$(x_i,y_i)$$ where $$i=1,2,\ldots,n$$ i.e $$n$$ solutions are there then find : $$\displaystyle \sum_{i=1}^{n} (x_i+y_i)$$

Explicit example: If the solutions are $$(0,2)$$ & $$(2,3)$$ then you need to compute $$0+2+2+3=7$$ and enter 7 as answer.

×