Answered: The graph of the equation 3x2 +2y2…

The graph of the equation 3x2 +2y2 +6x-16y+F=0 is either an ellipse, a point or an empty set. What should be the condition for F so that the graph is an ellipse? F<35 F<17 F>17 F> 35

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter7: Conic Sections And Quadratic Systems

Section7.CT: Chapter Test

Problem 8CT

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Question

The graph of the equation 3x² +2y +6x -16y+F=0is either an ellipse, a point or an empty
set. What should be the condition for F so that the graph is an ellipse?
F<35
F<17
F>17
F>35

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