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)\"\" \"About 
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
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\n" ); document.write( "\n" ); document.write( "As an easy example, consider \"abs%28x%29+=+5\". The two solutions will be
\n" ); document.write( "x=5 and x= -5.\r
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\n" ); document.write( "\n" ); document.write( "Likewise, consider \"abs%28y%29+=+5\". The two solutions will be
\n" ); document.write( "y=5 and y = -5.\r
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\n" ); document.write( "\n" ); document.write( "Now, consider \"abs%28x-4%29+=+5\". The two solutions will be
\n" ); document.write( "x-4=5 and x-4=-5.\r
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\n" ); document.write( "\n" ); document.write( "So, here we go:
\n" ); document.write( "\"+abs+%28x-4%29+=+5\"\r
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\n" ); document.write( "\n" ); document.write( "There are two solutions:\r
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\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
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\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
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\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
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\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
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\n" ); document.write( "\n" ); document.write( "R^2 at SCC\r
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