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January 23rd, 2017, 06:49 PM  #1 
Member Joined: Aug 2016 From: illinois Posts: 46 Thanks: 0  Finding radius and center of sphere
I have the equation X^2+Y^2+Z^24Z+3=0. The Problem also gives the point P(1,2,3). Im not sure if i should complete the square, but im confused.

January 23rd, 2017, 07:36 PM  #2 
Math Team Joined: Jul 2011 From: Texas Posts: 2,847 Thanks: 1486 
Point P(1,2,3) is not on the surface of the sphere, nor is it the sphere's center ... what does the problem specifically ask for?

January 23rd, 2017, 08:45 PM  #3  
Senior Member Joined: Sep 2015 From: USA Posts: 2,382 Thanks: 1281  Quote:
$x^2 + y^2 + (z 2)^2 =1$ This is a sphere of radius $1$ centered at $(0,0,2)$ Like Skeeter noted $(1,2,3)$ doesn't seem to have anything to do with this sphere.  

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center, finding, radius, sphere 
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