Decide whether or not the equation has a circle as its graph. If it does, give the center and the radius. If it does not, describe the graph. 4x^2 +4x+4y^2 + 8y-59=0
Decide whether or not the equation has a circle as its graph. If it does, give the center and the radius. If it does not, describe the graph. 4x^2 +4x+4y^2 + 8y-59=0
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.CR: Chapter Review
Problem 8E
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Question
Decide whether or not the equation has a circle as its graph. If it does, give the center and the radius. If it does not, describe the graph.
4x^2 +4x+4y^2 + 8y-59=0
Expert Solution
Step 1
The given Equation is:
i.e.
---(1)
The general Equation of a circle is :
We observe that (1) is similar to
Hence, The given Equation represents a circle.
This Equation has a circle as it's graph.
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