SOLUTION: What are the tecniques to isolate y on x^2+y^2-2y=0?

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Question 969153: What are the tecniques to isolate y on x^2+y^2-2y=0?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

to isolate y on x%5E2%2By%5E2-2y=0, move x%5E2 to the right and complete the square for y
y%5E2-2y=0-x%5E2
%28y%5E2-2y%2B_%29-_=-x%5E2....recall the rule a%5E2-2ab%2Bb%5E2=%28a-b%29%5E2
in your case a=1 and 2ab=2=>2%2A1b=2=>b=1
%28y%5E2-2y%2B1%29-1=-x%5E2
%28y-1%29%5E2-1=-x%5E2
%28y-1%29%5E2=-x%5E2%2B1
y-1=sqrt%28-x%5E2%2B1%29
y=sqrt%28-x%5E2%2B1%29%2B1