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Home » High Stakes and Deadly Pitfalls: Why Your Next Move Could Cost Everything! - Appcentric

High Stakes and Deadly Pitfalls: Why Your Next Move Could Cost Everything! - Appcentric

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 This is negative, and at \( x = -\frac{2}{\sqrt{3}} \), it's positive. Since \( g(1) = -1 \) and \( g(2) = 2 \), there is a root in \( (1, 2) \), and by symmetry and behavior, another real root exists (confirm via intermediate value theorem or graphing).

📌 Alternatively, use cubic formula or numerical solvers:

📌 Using approximation or a calculator, the real roots are approximately:

📌 One root near \( x \approx 0.542 \)

📌 One root near \( x \approx 1.532 \)

📌 One root near \( x \approx -2.074 \)

📌 But since this is a math olympiad problem expecting exact form, and no rational roots exist, we conclude:

📌 After analyzing, the equation \( x^3 - 4x + 2 = 0 \) has **three real roots**, but none are rational. Using Cardano’s method or numerical approximation, we find:

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