document.write( "Question 1093209: |x+24|=-7x\r
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document.write( "Why is there an extraneous solution here? \n" );
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Algebra.Com's Answer #707815 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! x+24=-7x \n" ); document.write( "8x=-24 \n" ); document.write( "x=-3 which works \n" ); document.write( "-(x+24)=-7x \n" ); document.write( "-x-24=-7x \n" ); document.write( "-6x=-24 \n" ); document.write( "x=4 \n" ); document.write( "absolute value of 28 does not equal -28, so 4 is extraneous. \n" ); document.write( "Often where we have squares or absolute values, the presence of negatives will cause extraneous solutions. \n" ); document.write( " |