document.write( "Question 184139: Need some help with absolute value equations. Thanks
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document.write( "[x+2]=[4-x] \n" );
document.write( "
Algebra.Com's Answer #138167 by stanbon(75887) ![]() You can put this solution on YOUR website! Need some help with absolute value equations. Thanks \n" ); document.write( "[x+2]=[4-x] \n" ); document.write( "--------------- \n" ); document.write( "It's a bit of a mess with a simple solution. \n" ); document.write( "A) x+2 = |4-x| or B) x+2 = -|4-x| \n" ); document.write( "------------------------------------ \n" ); document.write( "Working with A you get: \n" ); document.write( "4-x = x+2 or 4-x = -(x+2) \n" ); document.write( "2x = 2 or 4-x = -x - 2 \n" ); document.write( "x = 1 or contradiction \n" ); document.write( "============================= \n" ); document.write( "Working with B you get: \n" ); document.write( "-(4-x) = x+2 or -(4-x) = -(x+2) \n" ); document.write( "-4+x = x+2 or -4+x = -x-2 \n" ); document.write( "-4 = 2 or 2x = 2 \n" ); document.write( "contradiction or x =1 \n" ); document.write( "=============================== \n" ); document.write( "Conclusion: x = 1 is the only solution. \n" ); document.write( "=============================== \n" ); document.write( "Note: I graphed it and that answer is true. \n" ); document.write( "=============================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |