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Home » From Street Food to Social Media Fame: The Ultimate Mini Tacos Guide You Can’t Miss! - DNSFLEX

From Street Food to Social Media Fame: The Ultimate Mini Tacos Guide You Can’t Miss! - DNSFLEX

📅 March 12, 2026 👤 scraface

Mar 12, 2026

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📌 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?

📌 Use Heron’s formula.

📌 Semi-perimeter \( s = \frac{7 + 8 + 9}{2} = 12 \)

📌 Area \( A = \sqrt{s(s - a)(s - b)(s - c)} = \sqrt{12(12 - 7)(12 - 8)(12 - 9)} = \sqrt{12 \times 5 \times 4 \times 3} = \sqrt{720} = 12\sqrt{5} \)

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