DeepConic sections

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §3.5 Parabolas, Ellipses, and Hyperbolas, #42 · Geometry · Conic sections

For which … does … have no solution (empty graph)

This problem is about second-degree curves (conics).

For which $A, C, F$ does $A x^{2} + C y^{2} + F = 0$ have no solution (empty graph)?

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §3.5 Parabolas, Ellipses, and Hyperbolas, #42

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