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why do fools fall in love - DevRocket

📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 Take logarithm: \( t \ln(0.85) < \ln(0.4) \)

📌 \( t > \frac{\ln(0.4)}{\ln(0.85)} \approx \frac{-0.9163}{-0.1625} \approx 5.64 \)

📌 So, after 6 years, value drops below $10,000.

📌 Problem:** A function \( f(x) = x^3 - 6x^2 + 11x - 6 \) has roots \( r, s, t \). What is \( r^2 + s^2 + t^2 \)?

📌 By Vieta’s formulas:

📌 \( r + s + t = 6 \), \( rs + rt + st = 11 \), \( rst = 6 \)

📌 \( r^2 + s^2 + t^2 = (r + s + t)^2 - 2(rs + rt + st) = 6^2 - 2(11) = 36 - 22 = 14 \)

📌 Problem:** A triangle has sides of lengths 7, 8, and 9. What is its area?

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