document.write( "Question 1049097: Absolute value solution. [×+1/z]=2 \n" ); document.write( "

Algebra.Com's Answer #664651 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Both must be true:
\n" ); document.write( "(1) $\"+-%28+x+%2B+1%2Fz+%29+=+2+\"$
\n" ); document.write( "(2) $\"+x+%2B+1%2Fz+=+2+\"$
\n" ); document.write( "------------------------
\n" ); document.write( "add (1) and (2)
\n" ); document.write( "(1) $\"+x+%2B+1%2Fz+=+-2+\"$
\n" ); document.write( "(2) $\"+x+%2B+1%2Fz+=+2+\"$
\n" ); document.write( "---------------------
\n" ); document.write( "(1) $\"+1%2Fz+=+-x+-+2+\"$
\n" ); document.write( "(2) $\"+1%2Fz+=+-x+%2B+2+\"$
\n" ); document.write( "---------------------
\n" ); document.write( "(1) $\"+z+=+-1%2F%28+x+%2B+2+%29+\"$
\n" ); document.write( "(2) $\"+z+=+-1%2F%28+x+-+2+%29+\"$
\n" ); document.write( "----------------------
\n" ); document.write( "Here are plots of these relations:
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\n" ); document.write( "----------------------
\n" ); document.write( "check:
\n" ); document.write( "suppose $\"+x+=+10+\"$
\n" ); document.write( " $\"+x+%2B+2+=+12+\"$
\n" ); document.write( " $\"+z+=+-1%2F12+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+abs%28+x+%2B+1%2Fz+%29+=+2+\"$
\n" ); document.write( " $\"+abs%28+10+%2B+%28-12%29+%29+=+2+\"$
\n" ); document.write( " $\"+abs%28+-2+%29+=+2+\"$
\n" ); document.write( "OK
\n" ); document.write( " $\"+x+-+2+=+8+\"$
\n" ); document.write( " $\"+z+=+-1%2F8+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+abs%28+x+%2B+1%2Fz+%29+=+2%0D%0A%7B%7B%7B+abs%28+10+-+8+%29+=+2+\"$
\n" ); document.write( " $\"+abs%282%29+=+2+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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