# Long one

Algebra Level 5

Solve the given equations :$31x^2y^2-7y^4-112xy+64=0$ $x^2-7xy+4y^2+8=0$

The solutions of $$x$$ and $$y$$ are in the below given forms :

$$x=y=\pm A$$

$$x=-y=\pm i \sqrt{\frac{B}{C}}$$

$$x=\pm D,$$ $$y=\pm E$$

$$x=\pm i \sqrt{\frac{F}{G}},$$ $$y=\mp i \sqrt{\frac{H}{I}}$$

Find $$A+B+C+D+E+F+G+H+I$$.

Details :

$$i=\sqrt{-1}$$

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