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Home » Stop Burning Your Steel Cut Oats—Get This Pro Cooking Secrets Revealed Instantly! - Crankk.io

Stop Burning Your Steel Cut Oats—Get This Pro Cooking Secrets Revealed Instantly! - Crankk.io

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 Solution: Solve $ t^2 - 5t + 6 = 0 $. Factor: $ (t - 2)(t - 3) = 0 $. The solutions are $ t = 2 $ and $ t = 3 $. Thus, the times are $ oxed{2} $ and $ oxed{3} $.

📌 Question: A mammalogist models the population of a species using the functional equation $ h(x + y) = h(x) + h(y) + xy $ for all real $ x, y $. Find all functions $ h: \mathbb{R} o \mathbb{R} $.

📌 Solution: Assume $ h(x) = ax^2 + bx + c $. Substitute into the equation:

📌 a(x + y)^2 + b(x + y) + c = ax^2 + bx + c + ay^2 + by + c + xy.

📌 Expand left side: $ a(x^2 + 2xy + y^2) + b(x + y) + c = ax^2 + 2a xy + a y^2 + b x + b y + c $.

📌 Right side: $ ax^2 + ay^2 + bx + by + 2c + xy $.

📌 Equate coefficients:

📌 $ 2a = 1 $ (for $ xy $): $ a = rac{1}{2} $.

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