document.write( "Question 39825This question is from textbook
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document.write( ": solve the equation: |0.1x - 0.2| = |0.2x - 0.4| \n" );
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Algebra.Com's Answer #25262 by AnlytcPhil(1807) You can put this solution on YOUR website! solve the equation\r\n" ); document.write( "\r\n" ); document.write( "|0.1x - 0.2| = |0.2x - 0.4|\r\n" ); document.write( "\r\n" ); document.write( "There are two possibilities. Either:\r\n" ); document.write( "\r\n" ); document.write( "Case 1. The expressions inside the absolute values are equal\r\n" ); document.write( "\r\n" ); document.write( "or\r\n" ); document.write( "\r\n" ); document.write( "Case 2. One of those expressions is -1 times the other.\r\n" ); document.write( "\r\n" ); document.write( "====================================================\r\n" ); document.write( "\r\n" ); document.write( "Case 1. \r\n" ); document.write( "\r\n" ); document.write( "0.1x - 0.2 = 0.2x - 0.4 \r\n" ); document.write( "\r\n" ); document.write( "Solve that and get x = 2\r\n" ); document.write( "\r\n" ); document.write( "Case 2. \r\n" ); document.write( "\r\n" ); document.write( "0.1x - 0.2 = -1(0.2x - 0.4) \r\n" ); document.write( "\r\n" ); document.write( "Solve that and get x = 2\r\n" ); document.write( "\r\n" ); document.write( "So the solutions turned out to be the same.\r\n" ); document.write( "That is an unusual occurrence. Usually there\r\n" ); document.write( "are two solutions. \r\n" ); document.write( "\r\n" ); document.write( "Edwin\r\n" ); document.write( "AnlytcPhil@aol.com\n" ); document.write( " |