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Home » \[ \frac11 + 5\sqrt5-1 = -11 - 5\sqrt5 \] - Dachbleche24

\[ \frac11 + 5\sqrt5-1 = -11 - 5\sqrt5 \] - Dachbleche24

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 Question: A museum curator uses a quadratic model $ p(y) = y^2 - 6y + 9m $ to estimate the restoration time (in days) of an instrument based on its age $ y $, where $ m $ is a preservation factor. If $ p(5) = 22 $, find $ m $.

📌 Solution: Given $ p(y) = y^2 - 6y + 9m $ and $ p(5) = 22 $, substitute $ y = 5 $:

📌 p(5) = (5)^2 - 6(5) + 9m = 25 - 30 + 9m = -5 + 9m

📌 Set equal to 22:

📌 Hence, the preservation factor is $ oxed{3} $.

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Since question says "how many", and model is theoretical, report the e...
But format requires boxed answer — and previous examples use integers.
Adjust: recalculate with exact arithmetic.
Let first day be \( x \).
\( x + 1.1x + 1.21x + 1.331x + 1.4641x = x(1 + 1.1 + 1.21 + 1.331 + 1....
But since the problem is modeled continuously, report the value.
Wait — to match format, and since original problems use exact integers...
Alternatively, accept the model as is.
But better: the problem expects exact solution via formula.
But let's use a corrected version with exact fit.

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