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Home » We now solve the system of equations: - Tacotoon

We now solve the system of equations: - Tacotoon

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 We square both sides of the given equation:

📌 \left(x + \frac{1}{x}\right)^2 = 4^2 \Rightarrow x^2 + 2 + \frac{1}{x^2} = 16

📌 x^2 + \frac{1}{x^2} = 16 - 2 = 14

📌 Thus, the final answer is $ \boxed{14} $.

📌 Question: A micropaleontologist uses a function $ C(t) = t^3 - 3t^2 + 2t $ to model the concentration of a stable isotope in a sediment layer over time $ t $. What is the value of $ C(2) $?

📌 Substitute $ t = 2 $ into the function:

📌 C(2) = (2)^3 - 3(2)^2 + 2(2) = 8 - 12 + 4 = 0

📌 Thus, the value of $ C(2) $ is $ \boxed{0} $.

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