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Home » 10 Surprising Words Ending in "J" You Never Knew Existed! - Midis

10 Surprising Words Ending in "J" You Never Knew Existed! - Midis

📅 March 12, 2026 👤 scraface

Mar 12, 2026

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📌 Thus, the answer is $ \boxed{9} $.

📌 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:

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Now, solve the system of equations:
\( a + b = 5 \)
\( 4a + 2b = 12 \)
Divide the second equation by 2:

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