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Home » Luke Cage Actors Unmasked! The Hidden Talents Behind This Marvel Antihero! - Get link 4share

Luke Cage Actors Unmasked! The Hidden Talents Behind This Marvel Antihero! - Get link 4share

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 Question: A science journalist analyzing a dataset finds that $ x + \frac{1}{x} = 4 $. What is the value of $ 5x^2 + \frac{5}{x^2} $?

📌 Solution: We are given $ x + \frac{1}{x} = 4 $. Square both sides:

📌 \left(x + \frac{1}{x}\right)^2 = 4^2 = 16

📌 \Rightarrow x^2 + 2 + \frac{1}{x^2} = 16

📌 \Rightarrow x^2 + \frac{1}{x^2} = 14

📌 Now multiply both sides by 5:

📌 5x^2 + \frac{5}{x^2} = 5 \times 14 = 70

📌 Thus, the value is $ \boxed{70} $.

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