olymmath

HMMT 2006 F5

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  • Answer

If a,ba, b are nonzero real numbers such that a2+b2=8aba^{2}+b^{2}=8 a b, find the value of ∣a+ba−b∣\left|\frac{a+b}{a-b}\right|.

Dataset text NuminaMath olympiads. Quoted with source.

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\frac{\sqrt{15}}{3}

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