SOLUTION: Find the point (0, b) on the y-axis that is equidistant from the points (5,5) and (6,-5)

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Question 411143: Find the point (0, b) on the y-axis that is equidistant
from the points (5,5) and (6,-5)
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
%280-5%29%5E2+%2B+%28b+-+5%29%5E2+=+%280+-+6%29%5E2+%2B+%28b--5%29%5E2
25+%2B+b%5E2+-+10b+%2B+25+=+36+%2B+b%5E2+%2B+10b+%2B+25
50+-+10b+=+61+%2B+10b
-11 = 20b
==> b = -11/20