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# Algebra

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Positive real numbers x,y satisfy the equations x^2 + y^2 = 1 and x^4 + y^4= 5/8 . Find xy.

Oct 4, 2021

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$$(x^2 + y^2)^2 = x^4 + 2(xy)^2 + y^2\\\\ 1 = \frac{5}{8}+2(xy)^2$$

Can you take it from here?

Oct 5, 2021