document.write( "Question 617529: three times a number is subtracted from four times its reciprocal. the result is 11. find the number \n" ); document.write( "

Algebra.Com's Answer #388385 by unlockmath(1688) $\"\"$ $\"About$

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Hello,
\n" ); document.write( "Let n be the number.
\n" ); document.write( "4(1/n)-3n=11
\n" ); document.write( "Rewritten as:
\n" ); document.write( "4/n=3n==11
\n" ); document.write( "Multiply n
\n" ); document.write( "4-3n^2=11n
\n" ); document.write( "Rewritten as:
\n" ); document.write( "3n^2+11n-4=0
\n" ); document.write( "Factor
\n" ); document.write( "(3n-1)(n+4)=0
\n" ); document.write( "Solve for n:
\n" ); document.write( "n=1/3
\n" ); document.write( "n=-4
\n" ); document.write( "Make sense?
\n" ); document.write( "RJ
\n" ); document.write( "www.math-unlock.com \n" ); document.write( "

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