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Home » Subtracting consecutive equations eliminates $ d $: - AMAZONAWS

Subtracting consecutive equations eliminates $ d $: - AMAZONAWS

📅 March 11, 2026 👤 scraface

Mar 11, 2026

Subtracting consecutive equations eliminates $ d $:

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📌 لتعظيم $d$، نختار أكبر قاسم للعدد $96$ بحيث يكون $x + y$ عددًا صحيحًا موجبًا، و$\gcd(x, y) = 1$.

📌 إذن، $a = 48 \cdot 1 = 48$، $b = 48 \cdot 1 = 48$، و$\gcd(a,b) = 48$.

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\[ a(3)^2 + b(3) + c = 5 \]
\[ (5a + b) - (3a + b) = 2 - 1 \]
\[ \frac{3}{2} + b = 1 \]
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