ejayGrape ejayGrape

13-01-2017
Mathematics

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The equation x^2+y2-4x+2y=b describe a circle

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LammettHash LammettHash

13-01-2017

[tex]x^2+y^2-4x+2y=b\implies~x^2-4x+4+y^2+2y+1=b+5\implies~(x-2)^2+(y+1)^2=b+5[/tex]

This describes a circle centered at [tex](2,-1)[/tex] with radius [tex]\sqrt{b+5}[/tex].

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