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Home » × 1.404928 = 105.3696 - Network4

× 1.404928 = 105.3696 - Network4

📅 May 18, 2026 👤 scraface

May 18, 2026

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📌 $ b_4 = M(b_3) = \frac{46}{81} - \frac{(\frac{46}{81})^3}{3} $

📌 First, compute $ \left( \frac{46}{81} \right)^3 = \frac{97336}{531441} $, so

📌 b_4 = \frac{46}{81} - \frac{1}{3} \cdot \frac{97336}{531441} = \frac{46}{81} - \frac{97336}{1594323}

📌 Convert $ \frac{46}{81} $ to denominator $ 1594323 $:

📌 \frac{46}{81} = \frac{46 \cdot 19683}{1594323} = \frac{904518}{1594323}

📌 b_4 = \frac{904518 - 97336}{1594323} = \frac{807182}{1594323}

📌 Thus, $ b_4 = \boxed{\dfrac{807182}{1594323}} $.

📌 Question: A science policy analyst studying energy output models a system where total power $ P(x) = x\sqrt{x} - 5x + 6\sqrt{x} $ is produced based on input $ x \geq 0 $. Find the sum of all real values of $ x $ for which $ P(x) = 0 $, given all roots are non-negative real numbers.

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