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Home » This Random Emoji? You Probably Got It Wrong—Guess Again and Win Big! - Parker Core Knowledge

This Random Emoji? You Probably Got It Wrong—Guess Again and Win Big! - Parker Core Knowledge

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 Convert $ rac{39}{128} $ to denominator 32768:

📌 rac{39}{128} = rac{39 \cdot 256}{128 \cdot 256} = rac{9984}{32768}

📌 Now subtract:

📌 b_5 = rac{9984 - 1521}{32768} = rac{8463}{32768}

📌 Thus, the value of $ b_5 $ is $ oxed{\dfrac{8463}{32768}} $.

📌 Question: Let $ z $ and $ w $ be complex numbers such that $ z + w = 4 + 2i $ and $ z \overline{w} + \overline{z} w = 10 $. If $ |z|^2 + |w|^2 = 26 $, find $ \operatorname{Re}(z \overline{w}) $.

📌 Solution: We are given:

📌 $ z + w = 4 + 2i $

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