OpenStax, Algebra and Trigonometry 2e §12.4 Rotation of Axes · Exercise 62 · Geometry · Conic sections

Rotation of Axes · Exercise 62

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

Given $2 x^{2} + k x y + 12 y^{2} + 10 x - 16 y + 28 = 0,$ find $k$ for the graph to be an ellipse.

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OpenStax, Algebra and Trigonometry 2e · §12.4 Rotation of Axes · Exercise 62

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