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Home » $\omega^2 = \omega - 1$ - Treasure Valley Movers

$\omega^2 = \omega - 1$ - Treasure Valley Movers

📅 April 16, 2026 👤 scraface

Apr 16, 2026

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📌 rac{x+y}{x-y} = rac{r+1}{r-1}.

📌 Set this equal to each value of \(u\):

📌 Case 1:** \( rac{r+1}{r-1} = rac{3 + \sqrt{5}}{2} \)

📌 2(r+1) = (3 + \sqrt{5})(r - 1)

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

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

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

📌 r = rac{5 + \sqrt{5}}{1 + \sqrt{5}}

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