OpenStax, Algebra and Trigonometry 2e §12.4 Rotation of Axes · Exercise 63 · Geometry · Conic sections

Rotation of Axes · Exercise 63

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

Given $3 x^{2} + k x y + 4 y^{2} - 6 x + 20 y + 128 = 0,$ find $k$ for the graph to be a hyperbola.

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OpenStax, Algebra and Trigonometry 2e · §12.4 Rotation of Axes · Exercise 63

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