Back to 12.4 Rotation of Axes

12.4 Exercise 40

Avg difficulty 2.5

Determine the angle $\theta$ that will eliminate the $x y$ term and write the corresponding equation without the $x y$ term.

$9 x^{2} - 3 \sqrt{3} x y + 6 y^{2} + 4 y - 3 = 0$

OpenStax Algebra and Trigonometry 2e, 12.4 Rotation of Axes, exercise 40

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Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.