document.write( "Question 1199589: Determine the distance from the curve x^2 + y^2 - 16y + 16x + 64 = 0 to point (6,4).
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Algebra.Com's Answer #833534 by ikleyn(52915)\"\" \"About 
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document.write( "Apply completing the squares method and reduce the given equation to equation\r\n" );
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document.write( "    \"%28x%2B8%29%5E2\" + \"%28y-8%29%5E2\" = 64.\r\n" );
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document.write( "It is equation of the circle of the radius 8 units centered at point (-8,8) .\r\n" );
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document.write( "The point (6,4) is at the distance\r\n" );
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document.write( "    \"sqrt%28%28-8-6%29%5E2+%2B+%288-4%29%5E2%29\" = \"sqrt%2814%5E2%2B4%5E2%29\" = \"sqrt%28196%2B16%29\" = \"sqrt%28212%29\" = 14.56   (rounded)\r\n" );
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document.write( "from the center of that circle.\r\n" );
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document.write( "Hence, the distance from the given point to the circle is  14.56 - 8 = 6.56 units, approximately.\r\n" );
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