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how do u know if ur nose is broken - Imagemakers

📅 May 1, 2026 👤 scraface

May 01, 2026

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📌 2(5) + 3 = 10 + 3 = 13

📌 Thus, the value is \(\boxed{13}\).

📌 Question: A theoretical physicist models a quantum state where the sum of two energy levels \( E_1 \) and \( E_2 \) is 12 units, and \( E_1^2 + E_2^2 = 80 \). Find \( E_1^3 + E_2^3 \).

📌 E_1 + E_2 = 12, \quad E_1^2 + E_2^2 = 80

📌 E_1^3 + E_2^3 = (E_1 + E_2)^3 - 3E_1E_2(E_1 + E_2)

📌 First, compute \( (E_1 + E_2)^3 = 12^3 = 1728 \)

📌 Next, find \( E_1E_2 \) using:

📌 = 80 + 2E_1E_2 \Rightarrow 2E_1E_2 = 64 \Rightarrow E_1E_2 = 32

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