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Home » From Beginner to Master: The Ultimate Switch Switch Game Challenge! - Leaselab

From Beginner to Master: The Ultimate Switch Switch Game Challenge! - Leaselab

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 This fraction is already in simplest form (checking gcd == 1 via approximation or algorithm), so the final answer is $oxed{\dfrac{30300}{1030301}}$.Question: If $ x + rac{1}{x} = 3 $, what is the value of $ x^4 + rac{1}{x^4} $?

📌 Solution: We are given that $ x + rac{1}{x} = 3 $. To find $ x^4 + rac{1}{x^4} $, we proceed step by step.

📌 First, square both sides of the given equation:

📌 \left( x + rac{1}{x}

📌 ight)^2 = 3^2

📌 \Rightarrow x^2 + 2 + rac{1}{x^2} = 9

📌 \Rightarrow x^2 + rac{1}{x^2} = 7

📌 Next, square this new result to find $ x^4 + rac{1}{x^4} $:

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