Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 1 - Graphs - 1.4 Circles - 1.4 Assess Your Understanding - Page 38: 27

Answer

(a) $(1,2)$, $3$. (b) see graph. (c) $(1\pm\sqrt 5,0)$, $(0,2\pm2\sqrt 2)$

Work Step by Step

(a) Given $x^2+y^2-2x-4y-4=0$, form squares to get $(x-1)^2+(y-2)^2=9$. We can identify its center $(h,k)=(1,2)$ and radius $r=3$. (b) see graph. (c) To find the x-intercepts, letting $y=0$, we have $x^2-2x-4=0$ which gives $(1\pm\sqrt 5,0)$. To find the y-intercepts, letting $x=0$, we have $ y^2 -4y-4=0$ which gives $(0,2\pm2\sqrt 2)$
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