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Home » Multiply through: $ 1 = A(k+1)(k+2) + Bk(k+2) + Ck(k+1) $. - go-checkin.com

Multiply through: $ 1 = A(k+1)(k+2) + Bk(k+2) + Ck(k+1) $. - go-checkin.com

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 64x^2 + 6400 - 100x^2 = 6400

📌 -36x^2 = 0 \Rightarrow x^2 = 0

📌 Wait — this suggests only \( x = 0 \), but let's recheck:

📌 Correct substitution:

📌 \frac{x^2}{100} + 1 - \frac{x^2}{64} = 1

📌 x^2\left( \frac{1}{100} - \frac{1}{64} \right) = 0

📌 x^2 \left( \frac{64 - 100}{6400} \right) = 0 \Rightarrow x^2(-36/6400) = 0

📌 So \( x = 0 \) is the only solution — but this implies the circle is tangent at \( (0, \pm8) \)? Let's verify:

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