Consider the following quadratic equation: Bx+29x2/16+29y2/32+y/√2+1=0. Check the alternative that contains ALL values of B for which the equation represents an ellipse on the Cartesian plane. Choose the correct alternative: a.The given equation represents an ellipse for any real value of B B.B>5/2 or B<−5/2 c.B=29/8 or B=−29/8 d.B=5/2 or B=−5/2 e.−5/2

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Consider the following quadratic equation: Bx+29x2/16+29y2/32+y/√2+1=0. Check the alternative that contains ALL values of B for which the equation represents an ellipse on the Cartesian plane.

Choose the correct alternative:

a.The given equation represents an ellipse for any real value of B

B.B>5/2 or B<−5/2

c.B=29/8 or B=−29/8

d.B=5/2 or B=−5/2

e.−5/2<B<5/2

 

29y
Br + ++ž+1=0.
29z
32
Transcribed Image Text:29y Br + ++ž+1=0. 29z 32
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