document.write( "Question 446771: (y^2-4/y+3)=2-(y-2/y+3) \n" ); document.write( "
Algebra.Com's Answer #853328 by ikleyn(53419)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "(y^2-4/y+3) = 2-(y-2/y+3)
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\n" ); document.write( "\n" ); document.write( "As it is written in the post, it is inaccurate writing and it does not correspond to real intent.\r
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\n" ); document.write( "\n" ); document.write( "The correct equation is\r
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\n" ); document.write( "\n" ); document.write( "        \"%28y%5E2-4%29%2F%28y%2B3%29\" = \"2-%28y-2%29%2F%28y%2B3%29\".\r
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\n" ); document.write( "\n" ); document.write( "Now, @mananth gives the solutions  y = 4  OR  y = -3.\r
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\n" ); document.write( "\n" ); document.write( "But if you will present it in this form to your teacher,  you can easily get the score of  '2'.\r
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\n" ); document.write( "\n" ); document.write( "It is because  y = -3   IS  NOT   a solution.  It is not even in the domain of this equation.\r
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\n" ); document.write( "\n" ); document.write( "Therefore,  the solution to this problem should start with these words\r
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document.write( "     The domain of this equation is the set of all real numbers except of  y = -3, \r\n" );
document.write( "     because  (y+3)  is in the denominator of the formulas.\r\n" );
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\n" ); document.write( "\n" ); document.write( "After that, you make all this analysis,  which @mananth makes,  but at the end you say\r
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document.write( "    Since the root y = -3 is out of the domain, the only solution to the given equation is y = 4.\r\n" );
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\n" ); document.write( "\n" ); document.write( "It is how to present the complete solution correctly and to get the highest score.\r
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