document.write( "Question 72794: The quotient of a number and 3 is the same as the difference of the number and two. Find the number.\r
\n" ); document.write( "\n" ); document.write( "3/n = n-2 then I am stuck
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Algebra.Com's Answer #52056 by funmath(2933)\"\" \"About 
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The quotient of a number and 3 is the same as the difference of the number and two. Find the number.\r
\n" ); document.write( "\n" ); document.write( "3/n = n-2
\n" ); document.write( "\"n%283%2Fn%29=n%28n-2%29\"
\n" ); document.write( "\"3=n%5E2-2n\"
\n" ); document.write( "\"3-3=n%5E2-2n-3\"
\n" ); document.write( "\"0=n%5E2-2n-3\"
\n" ); document.write( "\"0=%28n-3%29%28n%2B1%29\"
\n" ); document.write( "n-3=0 or n+1=0
\n" ); document.write( "n-3+3=0+3 or n+1-1=0-1
\n" ); document.write( "n=3 or n=-1
\n" ); document.write( "Sanity check:
\n" ); document.write( "For n=3
\n" ); document.write( "\"3%2F3=3-2\"
\n" ); document.write( "\"1=1\" That checks.
\n" ); document.write( "For n=-1
\n" ); document.write( "\"3%2F-1=-1-2\"
\n" ); document.write( "\"-3=-3\" That checks too.
\n" ); document.write( "Happy Calculating!!!!
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