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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