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Home » Approximating \(\sqrt1860 \approx 43.13\), - Get link 4share

Approximating \(\sqrt1860 \approx 43.13\), - Get link 4share

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 x^2 + y^2 = 64 \quad \text{(circle)}

📌 From second, \( y^2 = 64 - x^2 \). Substitute:

📌 x^2 \left( \frac{64 - 100}{6400} \right) = 0 \Rightarrow x^2 \cdot (-36/6400) = 0

📌 So \( x^2 = 0 \), hence \( x = 0 \), \( y = \pm8 \).

📌 Only **two** solutions.

📌 Therefore, the signal reaches exactly **2 points** on the orbit.

📌 A science communicator films a video on the Fibonacci sequence and its appearance in nature. She explains that the number of spirals in pinecones often follows Fibonacci numbers. If she models the spiral count as \( F_n = F_{n-1} + F_{n-2} \) with \( F_1 = 1, F_2 = 1 \), what is the smallest \( n \) such that \( F_n > 100 \)?

📌 Compute Fibonacci numbers until exceeding 100:

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