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Home » "Today’s 7 Little Words Answers: Ignite Your Curiosity Instantly! - AIKO, infinite ways to autonomy.

"Today’s 7 Little Words Answers: Ignite Your Curiosity Instantly! - AIKO, infinite ways to autonomy.

📅 May 5, 2026 👤 scraface

May 05, 2026

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📌 Let \( u = rac{a + b}{a - b} \), then the expression is \( u + rac{1}{u} = 3 \). Multiply both sides by \( u \):

📌 u^2 + 1 = 3u \Rightarrow u^2 - 3u + 1 = 0

📌 So \( rac{a + b}{a - b} = rac{3 \pm \sqrt{5}}{2} \). Letâs take one root (both valid due to symmetry). Set:

📌 rac{a + b}{a - b} = rac{3 + \sqrt{5}}{2}

📌 2(a + b) = (3 + \sqrt{5})(a - b)

📌 2a + 2b = (3 + \sqrt{5})a - (3 + \sqrt{5})b

📌 2a - (3 + \sqrt{5})a + 2b + (3 + \sqrt{5})b = 0

📌 \Rightarrow a(-1 - \sqrt{5}) + b(5 + \sqrt{5}) = 0

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