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Home » p + q = -3 \quad \text(Equation 6) - Londonproperty

p + q = -3 \quad \text(Equation 6) - Londonproperty

📅 March 13, 2026 👤 scraface

Mar 13, 2026

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📌 This is a telescoping series, where most terms cancel out:

📌 After cancellation, we are left with:

📌 Thus, the sum is:

📌 - \frac{1}{51} = \frac{51}{51} - \frac{1}{51} = \frac{50}{51}

📌 The final answer is:

📌 \boxed{\frac{50}{51}}

📌 Let \( f(x) \) be a polynomial such that \( f(x) = x^3 - 3x + 2 \). Define \( M(x) = f(x) - x \). Find all real solutions to the equation \( M(x) = 0 \).

📌 Given \( f(x) = x^3 - 3x + 2 \), we define \( M(x) = f(x) - x \):

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