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The graphs of x^2-2x+y^2+10y=8x-6y. Find the radius of this circle.

 May 9, 2022
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We can rewrite this as: \(x^2-10x+y^2+16y=0\)

 

We can now complete the square, and add the remainder to the right-hand side: \((x-5)^2+(y+8)^2=64+25\)

 

In a circle's equation, the right-hand side is equal to \(r^2\), where r is the radius. 

 

This means \(89 = r^2\)

 

Can you take it from here?

 May 9, 2022
edited by BuilderBoi  May 9, 2022

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