Diophantine Quartic

Let (x1,y1),(x2,y2),(xn,yn)(x_1,y_1),(x_2,y_2),\ldots (x_n,y_n) be the positive integer solutions to the quartic x4+2x+13=y2x^4+2x+13=y^2 Find i=1nxi+yi\displaystyle\sum_{i=1}^nx_i+y_i

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