document.write( "Question 1092271: Identify the conic section in 4x2+4y2+40x+16y+40=0 in standard form
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Algebra.Com's Answer #706870 by ikleyn(52800)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "Use the standard method of completing the squares applied to each group of x- and y-terms separately.\r
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document.write( "\"4x%5E2+%2B4y%5E2+%2B+40x+%2B+16y+%2B+40\" = \"0\"   ====>\r\n" );
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document.write( "\"4x%5E2+%2B4y%5E2+%2B+40x+%2B+16y\" = \"-40\"  ====>\r\n" );
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document.write( "\"%284x%5E2+%2B+40x%29\" + \"%284y%5E2+%2B+16y%29\" = \"-40\"\r\n" );
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document.write( "\"4%2A%28x%5E2+%2B+10x%29\" + \"4%2A%28y%5E2+%2B+4y%29\" = \"-40\"\r\n" );
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document.write( "\"4%2A%28x%5E2+%2B+2%2A5x+%2B+25%29\" + \"4%2A%28y%5E2+%2B+2%2A2y+%2B+4%29\" = \"-40+%2B4%2A25+%2B+4%2A4\"\r\n" );
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document.write( "\"4%2A%28x%2B5%29%5E2\" + \"4%2A%28y%2B2%29%5E2\" = 76  ====>\r\n" );
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document.write( "\"%28x-%28-5%29%29%5E2\" + \"%28y-%28-2%29%29%5E2\" = 19.\r\n" );
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document.write( "It is the standard equation of the circle of the radius  \"sqrt%2819%29\"  centered at (-5,-2).\r\n" );
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