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) You can put this solution on YOUR website! . \n" ); document.write( "(y^2-4/y+3) = 2-(y-2/y+3) \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The correct equation is\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now, @mananth gives the solutions y = 4 OR y = -3.\r \n" ); document.write( " \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 \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Therefore, the solution to this problem should start with these words\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); 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" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "After that, you make all this analysis, which @mananth makes, but at the end you say\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( " Since the root y = -3 is out of the domain, the only solution to the given equation is y = 4.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "It is how to present the complete solution correctly and to get the highest score.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |