perplexus.info :: Just Math : Family of lines and ellipses

Family of lines and ellipses (Posted on 2025-04-15)

Prove that the set of points satisfying x⁴ - x² = y⁴ - y² = z⁴ - z² is the union of 4 straight lines and 6 ellipses.

No Solution Yet Submitted by Danish Ahmed Khan

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