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Clickbait, SEO-Friendly Titles for energy etf: - ECD Germany

📅 May 7, 2026 👤 scraface

May 07, 2026

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📌 A data scientist is analyzing a function \( f : \mathbb{R} o \mathbb{R} \) defined by \( f(x) = ax^2 + bx + c \) where \( a, b, \) and \( c \) are real numbers. Find all values of \( a, b, \) and \( c \) such that \( f(x) \) has exactly one real root.

📌 For the quadratic function \( f(x) = ax^2 + bx + c \) to have exactly one real root, its discriminant must be zero. The discriminant \(\Delta\) of a quadratic function \( ax^2 + bx + c \) is given by:

📌 Setting the discriminant equal to zero for exactly one real root, we have:

📌 b^2 - 4ac = 0

📌 Thus, the condition for \( f(x) \) to have exactly one real root is:

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