document.write( "Question 514401: Determine whether or not the equation has a circle in it's graph
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document.write( "4x^2+4y^2-24x-40y+36=0 \n" );
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Algebra.Com's Answer #343406 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Determine whether or not the equation has a circle in it's graph \n" ); document.write( "4x^2+4y^2-24x-40y+36=0 \n" ); document.write( "---- \n" ); document.write( "Divide thru by 4 to get: \n" ); document.write( "x^2-6x + y^2-10y = -36 \n" ); document.write( "--- \n" ); document.write( "Complete the square on the x and on the y terms: \n" ); document.write( "x^2-6x+9 + y^2-10y+25 = -36+9+25 \n" ); document.write( "----- \n" ); document.write( "(x-3)^2 + (y-5)^2 = -2 \n" ); document.write( "----- \n" ); document.write( "Not a circle because radius would be sqrt(-2) = i*sqrt(2) \n" ); document.write( "=========================================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "========= \n" ); document.write( " \n" ); document.write( " |