SOLUTION: x^2+y^2-6x+2y+5=0

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Question 1194269: x^2+y^2-6x+2y+5=0
Found 3 solutions by greenestamps, josgarithmetic, math_tutor2020:
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


What are you/we supposed to do with this?

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Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2%2By%5E2-6x%2B2y%2B5=0
This looks like conic section either CIRCLE (or maybe hyperbola...)
x%5E2-6x%2By%5E2%2B2y=-5
Complete the Squares.
x%5E2-6x%2B9%2By%5E2%2B2y%2B1=-5%2B9%2B1
%28x-3%29%5E2%2B%28y%2B1%29%5E2=5
orbetter
highlight%28%28x-3%29%5E2%2B%28y%2B1%29%5E2=%28sqrt%285%29%29%5E2%29--------------If that was all you need then this is finished. You have enough information to make a graph based on the form of this equation.

Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

As @josgarithmetic has shown, the given equation is equivalent to %28x-3%29%5E2+%2B+%28y%2B1%29%5E2+=+5 which is a circle.

It is of the form %28x-h%29%5E2+%2B+%28y-k%29%5E2+=+r%5E2
center = (h,k) = (3,-1)
radius = sqrt%285%29

The graph is here
https://www.desmos.com/calculator/htiutjqbxn
Desmos is a free graphing app. GeoGebra is another useful free graphing tool.