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Home » The Sweetest Wedding Nuptial Vows Ever Written Before Will Make You Cry (No Spoilers!) - DNSFLEX

The Sweetest Wedding Nuptial Vows Ever Written Before Will Make You Cry (No Spoilers!) - DNSFLEX

📅 March 12, 2026 👤 scraface

Mar 12, 2026

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📌 Solutions: \( x = 1 \) or \( x = 3 \).

📌 A ladder 13 meters long leans against a wall, reaching a height of 12 meters. How far is the base from the wall?

📌 Using Pythagoras:

📌 \[ x^2 + 12^2 = 13^2 \]

📌 \[ x^2 + 144 = 169 \]

📌 \[ x^2 = 25 \]

📌 \[ x = 5 \] meters.

📌 A train accelerates from rest at 2 m/s² for 10 seconds. How far does it travel?

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Question: A science journalist analyzing a dataset finds that $ x + \f...
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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