2022 SSMO Team Round Problems/Problem 9
Problem
Given real numbers such that <align*> a^2+b^2&=1,\ x^2+y^2&=1,\ abxy-\frac{1}{8}&=b^2y^2, </align*> find the sum of all distinct values of .
Given real numbers such that <align*> a^2+b^2&=1,\ x^2+y^2&=1,\ abxy-\frac{1}{8}&=b^2y^2, </align*> find the sum of all distinct values of .
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