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apartments in south carolina columbia for rent - AssociationVoting

📅 May 18, 2026 👤 scraface

May 18, 2026

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📌 \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} $:

📌 \left( x^2 + rac{1}{x^2}

📌 ight)^2 = 7^2

📌 \Rightarrow x^4 + 2 + rac{1}{x^4} = 49

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However, rechecking: maybe mistake in setup.
Wait: \( (20+2x)(15+2x) = 504 \)
Let \( x = 2 \): \( 24 imes 19 = 456 \)
\( x = 3 \): \( 26 imes 21 = 546 \)
not divisible.
Use quadratic:
\( x = rac{ -35 \pm \sqrt{35^2 + 4 \cdot 2 \cdot 102} }{4} = rac{ -3...
Since \( x > 0 \), \( x = rac{ -35 + \sqrt{2041} }{4} \)
But perhaps simplify:
\( \sqrt{2041} \) is simplest radical.

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