# Basic Algebra

Algebra Level 2

Positive real numbers $$x$$, $$y$$ satisfy the equations $$x^2 + y^2 = 1$$ and $$x^4 + y^4 = \dfrac {17}{18}$$. If the positive value of $$xy$$ be expressed as $$\dfrac{a}{b}$$, for coprime $$a$$ and $$b$$, then find the value of $$a+b$$.

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