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The graph of x^2 - 2x + y^2 = 24 is a circle. Find the center and radius of this circle.

 Oct 15, 2022
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Find the center and radius of this circle.

 

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\( x^2 - 2x + y^2 = 24\\ -y^2=x^2-2x-24\\ x=1\pm \sqrt{1+24}\\ x\in \{-4,6\}\)

The center of the circle is (1,0).

The radius of the circle is 5.

 

 

\(x^2-2x+y^2-24=0\\ (x-1)^2-1 +y^2=24\\ (x-1)^2+y^2=25\)

The center of the circle is (1,0).

The radius of the circle is 5.

 

laugh  !

 Oct 15, 2022
edited by asinus  Oct 15, 2022

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