document.write( "Question 940005: Circumscribed about the triangle with vertices (2,3) (0,5) and (1,-1). Find the equation of a circle? \n" ); document.write( "
Algebra.Com's Answer #572893 by Edwin McCravy(20062)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "This involves solving a 3x3 system of equations,\r\n" );
document.write( "either by substitution or elimination, Cramer's rule,\r\n" );
document.write( "Gaussian elimination, Gauss-Jordan method, or the \r\n" );
document.write( "inverse matrix method, whichever method you have\r\n" );
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document.write( "Those three points are on the circle so they will satisfy\r\n" );
document.write( "the equation:\r\n" );
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document.write( "\"x%5E2%2By%5E2%2BDx%2BEy%2BF=0\"\r\n" );
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document.write( "Substituting the three vertices gives this system:\r\n" );
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document.write( "which simplifies to:\r\n" );
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document.write( "\"system%282D%2B3E%2BF=-13%2C5E%2BF=-25%2CD-E%2BF=-2%29\"\r\n" );
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document.write( "Solve that system for D, E, and F and substitute in\r\n" );
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document.write( "\"x%5E2%2By%5E2%2BDx%2BEy%2BF=0\"\r\n" );
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document.write( "You solve that.  Hint: one of those three values is -3.4,\r\n" );
document.write( "but I won't tell you whether it is D, E, or F.  :)\r\n" );
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document.write( "Edwin
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