College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 1, Equations and Graphs - Section 1.2 - Graphs of Equations in Two Variables; Circles - 1.2 Exercises - Page 103: 87


The equation represents a circle $ (x+\frac{1}{2})^2+(y^2+0)^2=(\frac{1}{2})^2$ with center $(-\frac{1}{2},0)$ and radius is $\frac{1}{2}$

Work Step by Step

$\underline{\textbf{Given equation}}$ $x^2+y^2+x=0$ $\Rightarrow x^2+x+y^2=0$ $\Rightarrow (x^2+x)+(y^2)=0$ $\Rightarrow (x^2+x+\frac{1}{4})+(y^2)=\frac{1}{4}$ $\Rightarrow (x+\frac{1}{2})^2+(y^2+0)^2=(\frac{1}{2})^2$ Which is the standard form for the equation of circle with center $(-\frac{1}{2},0)$ and radius is $\frac{1}{2}$
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