OpenStax, Algebra and Trigonometry 2e §12.4 Rotation of Axes · Exercise 65 · Geometry · Conic sections

Rotation of Axes · Exercise 65

Determine the value of $k$ based on the given equation.

Given $6 x^{2} + 12 x y + k y^{2} + 16 x + 10 y + 4 = 0,$ find $k$ for the graph to be an ellipse.

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OpenStax, Algebra and Trigonometry 2e · §12.4 Rotation of Axes · Exercise 65

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