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Home » \fracab + \fracba = 5 - AMAZONAWS

\fracab + \fracba = 5 - AMAZONAWS

📅 March 11, 2026 👤 scraface
Mar 11, 2026
\frac{a}{b} + \frac{b}{a} = 5

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📌 \(3+2\) → one zone has 3, another has 2
📌 Alternatively, each object can go into one of the two subsets, giving \(2^7 = 128\) labeled assignments, but dividing by 2 for indistinguishability gives \(64\), and subtracting the two cases where all are in one zone (leaving the other empty), we get \(64 - 1 = 63\) (we subtract 1 for the all-empty-one-case, but actually, each symmetric split is counted once, so the standard result applies directly).

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  • Substitute into the first equation: \(2(y + 3) + 3y = 12\).
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  • Now use that instead.

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  • Try solving numerically:
  • A = \sqrt{7056} = 84 \text{ cm}^2
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