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Home » \[ (27p + 9q + 3r + s) - (8p + 4q + 2r + s) = 39 - 14 \] - Treasure Valley Movers

\[ (27p + 9q + 3r + s) - (8p + 4q + 2r + s) = 39 - 14 \] - Treasure Valley Movers

📅 April 19, 2026 👤 scraface

Apr 19, 2026

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Now compute $\gcd(15,9) = 3$.
\gcd(3^{15} - 1, 3^9 - 1) = 3^3 - 1 = 27 - 1 = 26.
Therefore, the greatest common divisor is $oxed{26}$.**Question:** An...
Solution:** Start with the given equation:
rac{x+y}{x-y} + rac{x-y}{x+y} = 3.
Let \( u = rac{x+y}{x-y} \), so the second term becomes \( rac{1}{u}...
u + rac{1}{u} = 3.
Multiply both sides by \(u\) (assuming \(u
u^2 + 1 = 3u \quad \Rightarrow \quad u^2 - 3u + 1 = 0.
u = rac{3 \pm \sqrt{9 - 4}}{2} = rac{3 \pm \sqrt{5}}{2}.

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