document.write( "Question 1196220: Find A, B and C if \n" ); document.write( "
Algebra.Com's Answer #828964 by ikleyn(52799)\"\" \"About 
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\n" ); document.write( "Find A, B and C if .
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document.write( "(1)  Consider both sides at x--> 1.\r\n" );
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document.write( "     Left side tends to infinity as \"A%2F%28x-1%29\". \r\n" );
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document.write( "     Right side tends to infinity as \"%282%2A1%5E2-6%2A1%2B6%29%2F%28%28x-1%29%2A%281-2%29%2A%281-3%29%29\" = \"2%2F%282%2A%28x-1%29%29\" = \"1%2F%28x-1%29\".\r\n" );
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document.write( "     From it, we conclude that A = 1.\r\n" );
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document.write( "(2)  Consider both sides at x--> 2.\r\n" );
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document.write( "     Left side tends to infinity as \"B%2F%28x-2%29\". \r\n" );
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document.write( "     Right side tends to infinity as \"%282%2A2%5E2-6%2A2%2B6%29%2F%28%282-1%29%2A%28x-2%29%2A%282-3%29%29\" = \"2%2F%28%28-1%29%2A%28x-2%29%29\" = \"-2%2F%28x-2%29\".\r\n" );
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document.write( "     From it, we conclude that B = -2.\r\n" );
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document.write( "(3)  Consider both sides at x--> 3.\r\n" );
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document.write( "     Left side tends to infinity as \"C%2F%28x-3%29\". \r\n" );
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document.write( "     Right side tends to infinity as \"%282%2A3%5E2-6%2A3%2B6%29%2F%28%283-1%29%2A%283-2%29%2A%28x-3%29%29\" = \"6%2F%282%2A1%2A%28x-3%29%29\" = \"3%2F%28x-3%29\".\r\n" );
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document.write( "     From it, we conclude that C = 3.\r\n" );
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document.write( "ANSWER.  A = 1,  B = -2,  C = 3.\r\n" );
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\n" ); document.write( "\n" ); document.write( "It is the way to solve the problem practically \"on fingers\",
\n" ); document.write( "without reducing to the system of 3 equations in 3 unknowns. \r
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