Lemma
MediumConic sections
OpenStax, Algebra and Trigonometry 2e §12.1 The Ellipse · Exercise 70 · Geometry · Conic sections

The Ellipse · Exercise 70

Find the equation of the ellipse that will just fit inside a box that is four times as wide as it is high. Express in terms of the height.

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OpenStax, Algebra and Trigonometry 2e · §12.1 The Ellipse · Exercise 70

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Checked against the answer in OpenStax, Algebra and Trigonometry 2e.