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Home » Thus, \( D \equiv 1, 4, \text or 7 \pmod9 \) - go-checkin.com

Thus, \( D \equiv 1, 4, \text or 7 \pmod9 \) - go-checkin.com

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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\gcd(a^m - 1, a^n - 1) = a^{\gcd(m,n)} - 1, \quad ext{for } a > 1.
\gcd(3^{15} - 1, 3^9 - 1) = 3^{\gcd(15,9)} - 1.
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

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