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Home » You Won’t Believe How Yoshi and Mario Team Up—Show Your Love NOW! - Sourci

You Won’t Believe How Yoshi and Mario Team Up—Show Your Love NOW! - Sourci

📅 May 2, 2026 👤 scraface

May 02, 2026

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📌 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} $.

📌 Question: Compute the square of $ \sqrt{7 + 2\sqrt{10}} + \sqrt{7 - 2\sqrt{10}} $.

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