OpenStax, Algebra and Trigonometry 2e §12.4 Rotation of Axes · Example 7 · Geometry · Conic sections

Identifying the Conic without Rotating Axes

Identify the conic for each of the following without rotating axes.

ⓐ $5 x^{2} + 23 x y + 2 y^{2} - 5 = 0$
ⓑ $5 x^{2} + 23 x y + 12 y^{2} - 5 = 0$

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OpenStax, Algebra and Trigonometry 2e · §12.4 Rotation of Axes · Example 7

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