SOLUTION: Find the center of the circle with the equation x2 + y2 – 5x + 3y = 0

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Question 327788: Find the center of the circle with the equation x2 + y2 – 5x + 3y = 0
Answer by galactus(183) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2%2By%5E2-5x%2B3y=0
Group the x and y terms:
x%5E2-5x%2By%5E2%2B3y=0
Now, complete the square for each by adding the square of half the coefficient of x to both sides, then factor.
x%5E2-5x%2B25%2F4=%28x-5%2F2%29%5E2
y%5E2%2B3y%2B9%2F4=%28x%2B3%2F2%29%5E2
Remember, the 25/4 and 9/4 have to be added to the right side as well.
25%2F4%2B9%2F4=17%2F2 on the right side.
So, we have
%28x-5%2F2%29%5E2%2B%28x%2B3%2F2%29%5E2=17%2F2
The center is at (5/2,-3/2) and the radius is sqrt%2817%2F2%29