document.write( "Question 25375: |x-4|=5, I am the parent of a teen, and am TOTALLY lost on how to do this, please explain in simple english, he is supposed to have a positive and a negative answer. \n" ); document.write( "
Algebra.Com's Answer #13595 by rapaljer(4671)![]() ![]() You can put this solution on YOUR website! Whenever you have an absolute value equal to a positive number, there will be TWO solution. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "As an easy example, consider \n" ); document.write( "x=5 and x= -5.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Likewise, consider \n" ); document.write( "y=5 and y = -5.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now, consider \n" ); document.write( "x-4=5 and x-4=-5.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So, here we go: \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "There are two solutions:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "First Solution: \n" ); document.write( "x-4 = 5 \n" ); document.write( "x-4 +4 = 5+4 \n" ); document.write( "x = 9 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Second Solution: \n" ); document.write( "x-4 = -5 \n" ); document.write( "x-4 +4 = -5 +4 \n" ); document.write( "x=-1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Check: x=9 \n" ); document.write( "| x-4 | = 5 \n" ); document.write( "|9-4| = 5 \n" ); document.write( "5=5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Check: x=-1 \n" ); document.write( "| x-4 | = 5 \n" ); document.write( "|-1-4| = 5 \n" ); document.write( "5=5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "R^2 at SCC\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |