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Home » Divide both sides by \(2 imes 3.14159\): - Sterling Industries

Divide both sides by \(2 imes 3.14159\): - Sterling Industries

📅 April 16, 2026 👤 scraface

Apr 16, 2026

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\left(x + rac{1}{x}
ight)^2 = x^2 + 2 + rac{1}{x^2}
Substitute $x + rac{1}{x} = 4$:
4^2 = x^2 + 2 + rac{1}{x^2} \Rightarrow 16 = x^2 + rac{1}{x^2} + 2
Solve for $x^2 + rac{1}{x^2}$:
x^2 + rac{1}{x^2} = 16 - 2 = 14
oxed{14}
Question: Find the value of $x$ that satisfies $\displaystyle rac{2x...
Solution: Cross-multiply to eliminate the fractions:
4(2x - 1) = 5(x + 3)

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