May 17th, 2017, 12:16 PM  #11 
Senior Member Joined: Mar 2015 From: New Jersey Posts: 1,364 Thanks: 100 
Actually, it's a concept question. Does the locus of points equidistant from the two given points intersect the circle r=5? The locus is a straight line which goes through the origin so it intersects the circle in 2 points. If you are going to do it algebraically, the answer is: What are z+1 and z+i? What is z? 

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