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Home » \[ t = \frac\ln(2)0.05 \] - Simpleprint

\[ t = \frac\ln(2)0.05 \] - Simpleprint

📅 March 13, 2026 👤 scraface

Mar 13, 2026

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📌 A rectangular solar panel has length \(2x + 3\) meters and width \(x - 1\) meters. If the area is 40 m², find \(x\).

📌 2x^2 - 2x + 3x - 3 = 40 \Rightarrow 2x^2 + x - 43 = 0

📌 x = \frac{-1 \pm \sqrt{1^2 + 4 \cdot 2 \cdot 43}}{2 \cdot 2} = \frac{-1 \pm \sqrt{345}}{4}

📌 \(\sqrt{345} \approx 18.57\), so

📌 x = \frac{-1 + 18.57}{4} \approx \frac{17.57}{4} \approx 4.392

📌 Discard negative root.

📌 Answer:** \(\boxed{4.392}\)

📌 Probability – Carbon Footprint Risk

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