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Home » Total Production:** \( 287.5 \times 10 = 2875 \) gadgets - Aurero

Total Production:** \( 287.5 \times 10 = 2875 \) gadgets - Aurero

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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📌 Sum of all terms: $ 4A + 6d $, square: $ 16A^2 + 48Ad + 36d^2 $.

📌 Set equal:

📌 2A^2 + 6Ad + 9d^2 = 16A^2 + 48Ad + 36d^2

📌 \Rightarrow 0 = 14A^2 + 42Ad + 27d^2.

📌 Divide by $ d^2 $: let $ x = \frac{A}{d} $, then:

📌 14x^2 + 42x + 27 = 0.

📌 Discriminant: $ 42^2 - 4\cdot14\cdot27 = 1764 - 1512 = 252 = 36 \cdot 7 $.

📌 x = \frac{-42 \pm 6\sqrt{7}}{28} = \frac{-21 \pm 3\sqrt{7}}{14}.

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