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Let x and y be positive real numbers a...

Let `x` and `y` be positive real numbers and `theta` an angle such that `theta!=(npi)/2` for any integer `ndot` Suppose `(sintheta)/x=(costheta)/y` and `(cos^4theta)/(x^4)+(sin^4theta)/(y^4)=(97sin2theta)/(x^3y+x y^3),` then the value of `x/y+y/x` is

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