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Home » 7^2 = 25 + 2ab - ToelettAPP

7^2 = 25 + 2ab - ToelettAPP

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 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}.

📌 Third term: $ A + 2d $, first: $ A $, so ratio:

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