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# Help! :)

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Two positive numbers $$p$$ and $$q$$ have the property that their sum is equal to their product. If their difference is $$7$$, what is $$\frac{1}{\frac{1}{p^2}+\frac{1}{q^2}}$$? Your answer will be of the form $$\frac{a+b\sqrt{c}}{d}$$, where $$a$$ and $$b$$ don't both share the same common factor with $$d$$ and $$c$$ has no square as a factor. Find $$a+b+c+d$$

Apr 9, 2020