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Home » #### 627,200Question: Let $ a $ and $ b $ be positive real numbers such that $ \fracab + \fracba = 5 $. Find the value of $ \fraca^2 + b^2a^2 - b^2 + \fraca^2 - b^2a^2 + b^2 $. - AMAZONAWS

#### 627,200Question: Let $ a $ and $ b $ be positive real numbers such that $ \fracab + \fracba = 5 $. Find the value of $ \fraca^2 + b^2a^2 - b^2 + \fraca^2 - b^2a^2 + b^2 $. - AMAZONAWS

📅 March 11, 2026 👤 scraface
Mar 11, 2026
#### 627,200Question: Let $ a $ and $ b $ be positive real numbers such that $ \frac{a}{b} + \frac{b}{a} = 5 $. Find the value of $ \frac{a^2 + b^2}{a^2 - b^2} + \frac{a^2 - b^2}{a^2 + b^2} $.

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