SOLUTION: Write x^2+y^2-4x+2y+3=0 in standard form for a circle.

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Write x^2+y^2-4x+2y+3=0 in standard form for a circle.      Log On


   



Question 1170851: Write x^2+y^2-4x+2y+3=0 in standard form for a circle.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

x%5E2%2By%5E2-4x%2B2y%2B3=0+ ...group
%28x%5E2-4x%29%2B%28y%5E2%2B2y%29=-3...complete square
%28x%5E2-4x%2Bb%5E2%29-b%5E2%2B%28y%5E2%2B2y%2Bb%5E2%29-b%5E2=-3
%28x%5E2-4x%2B2%5E2%29-2%5E2%2B%28y%5E2%2B2y%2B1%5E2%29-1%5E2=-3
%28x-+2%29%5E2-4%2B%28y%2B1%29%5E2-1=-3
%28x-+2%29%5E2%2B%28y%2B1%29%5E2=-3%2B4%2B1
%28x-+2%29%5E2%2B%28y%2B1%29%5E2=2