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Home » Simplify \( \sqrt52 = 2\sqrt13 \). - Sourci

Simplify \( \sqrt52 = 2\sqrt13 \). - Sourci

📅 April 30, 2026 👤 scraface

Apr 30, 2026

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📌 \( f(0) = c = 4 \)

📌 \( f(1) = a + b + c = 1 \) → \( a + b + 4 = 1 \) → \( a + b = -3 \)

📌 \( f(2) = 4a + 2b + c = -4 \) → \( 4a + 2b + 4 = -4 \) → \( 4a + 2b = -8 \) → \( 2a + b = -4 \)

📌 a + b = -3 \\

📌 2a + b = -4

📌 Subtract the first from the second: \( (2a + b) - (a + b) = -4 - (-3) \) → \( a = -1 \)

📌 Substitute into \( a + b = -3 \): \( -1 + b = -3 \) → \( b = -2 \)

📌 So \( f(x) = -x^2 - 2x + 4 \).

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