Show that the graph of an equation of the form Ax 2 Cy 2 Dx Ey F 0 A 0, C 0 where A and C are of the same sign (a) Is and ellipse if D 2 4A E 2 4C F is the same sign as A (b) Is a point if D 2 4A E 2 4C F 0 (c) Contains no points if D 2 4A E 2 4C F is of opposite sign to A ...

Complete the square on the given equation Ax Cy Dx Ey F 0 A0 C0 Ax Cy Dx EyF D E Ax x C x y F Ax ...

Show that the graph of an equation of the form Ax 2 + Cy 2 + Dx

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Show that the graph of an equation of the form

Ax² + Cy² + Dx + Ey + F =0 A ≠0, C ≠ 0

where A and C are of the same sign.

(a) Is and ellipse if D²/4A + E²/4C - F is the same sign as A.

(b) Is a point if D²/4A + E²/4C - F = 0.

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Precalculus

ISBN: 978-0321716835

9th edition

Authors: Michael Sullivan

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Question Posted: Apr 01, 2019 11:11 AM

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Show that the graph of an equation of the form Ax 2 + Cy 2 + Dx

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Complete the square on the given equation Ax Cy Dx Ey F 0 A0 C0 Ax Cy Dx EyF D E Ax x C x y F Ax ...View the full answer

Precalculus

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