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Home » \[ c = \sqrt289 = 17 \] - SUpost

\[ c = \sqrt289 = 17 \] - SUpost

📅 July 5, 2026 👤 scraface

Jul 05, 2026

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📌 Solution: $ d_2 = R(1) = 1^2 + rac{1}{2} = 1 + rac{1}{2} = rac{3}{2} $. Final answer: oxed{\dfrac{3}{2}}

📌 Question: The trajectory of a migratory birdâs flight path is described by the hyperbola $ 4x^2 - 9y^2 + 24x + 18y + 9 = 0 $. Find its center.

📌 Solution: Group and complete the square:

📌 $ 4(x^2 + 6x) - 9(y^2 - 2y) = -9 $.

📌 Complete squares:

📌 $ 4[(x+3)^2 - 9] - 9[(y-1)^2 - 1] = -9 $.

📌 $ 4(x+3)^2 - 36 - 9(y-1)^2 + 9 = -9 $.

📌 $ 4(x+3)^2 - 9(y-1)^2 = 18 $.

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