Quadratic Functions, Equations and Inequalities - Evaluating Expressions using Special Identities

Quadratic Functions, Equations and Inequalities - Evaluating Expressions using Special Identities

IP 4

Given that \({{m}^{2}}+{{n}^{2}}=4mn\), where \(m>0\) and \(n>0\), find the exact value of \(\frac{{{m}^{2}}-{{n}^{2}}}{mn}\).

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Answer:\(\pm2\sqrt3\) (the sign is not uniquely determined)

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