Algebra.Com's Answer #854031 by ikleyn(53742)![\"\"](\"/images/stars/stars-13.gif\")  
You can put this solution on YOUR website!
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document.write( "a^2/a-3 = 9/a-3
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document.write( " The solution by @mananth in his post is FATALLY WRONG.\r
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document.write( " See my correct solution below.\r
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document.write( "Your original equation is\r\n" );
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document.write( "  =  .\r\n" );
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document.write( "Its domain is the set of all real numbers except of 'a = 3', where the denominator is zero \r\n" );
document.write( "and expressions on the left side and the right side are not defined.\r\n" );
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document.write( "So, we will look for the solution (a solution) in the domain, excluding a = 3.\r\n" );
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document.write( "In the domain, multiply both sides by (a-3). You will get an equivalent equation in the domain\r\n" );
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document.write( " a^2 = 9,\r\n" );
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document.write( "which gives two possible solutions\r\n" );
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document.write( " a = 3 and a = -3.\r\n" );
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document.write( "But a = 3 is a prohibited value, while a = -3 works perfectly.\r\n" );
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document.write( "?ANSWER. The solution to the given equation is a = -3. \r\n" );
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document.write( " This solution is UNIQUE: there is NO other solution.\r\n" );
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document.write( "Solved correctly.\r
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document.write( "This problem is a TRAP, and @mananth felt in this trap, inviting you, the reader, to follow him.\r
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document.write( "My task is to teach you to recognize such traps and to avoid them.\r
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