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The graphs of x^2-2x+y^2+10y=4x-8y+127. Find the radius of this circle.

 Aug 10, 2021
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Moving x and y terms to one side gets this: x^2-6x+y^2+18y = 127

 

completing the square: (x-3)^2+(y+9)^2 -9-81 = 127

 

Finally: (x-3)^2 + (y+9)^2 = 217

 

Now you can finish it up yourself.

 

Note: You can also view this graph visually as both forms overlap fully

 Aug 10, 2021

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