document.write( "Question 992559: Please help me with this problem: Determine whether the equation x^2+y^2-4x+2y=9 represents a circle, a point, or no graph.\r
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document.write( "I know that if there's a graph it should represent a circle, but i'm having trouble factoring properly.
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document.write( "Thanks! \n" );
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Algebra.Com's Answer #612141 by stanbon(75887) ![]() You can put this solution on YOUR website! Determine whether the equation x^2+y^2-4x+2y=9 represents a circle, a point, or no graph. \n" ); document.write( "------------ \n" ); document.write( "Complete the square on the x and on the y terms:: \n" ); document.write( "x^2-4x+4 + y^2+2y+1) = 9+4+1 \n" ); document.write( "----- \n" ); document.write( "(x-2)^2 + (y+1)^2 = 14 \n" ); document.write( "------ \n" ); document.write( "Circle with center at (2,-1) and radius = sqrt(14) \n" ); document.write( "------------ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "----------- \n" ); document.write( " |