document.write( "Question 683656: A pleasant day Sir or Madam. please help me with this word problem involving rational expressions.\r
\n" ); document.write( "\n" ); document.write( "If twice the reciprocal is subtracted from the number, the result is -7/5. Find the number.\r
\n" ); document.write( "\n" ); document.write( "Thank you very much for your help.
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Algebra.Com's Answer #423646 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let the unknown number = \"+n+\"
\n" ); document.write( "given:
\n" ); document.write( "\"+n+-+2%2A%281%2Fn%29+=+-7%2F5+\"
\n" ); document.write( "--------------------
\n" ); document.write( "Multiply both sides by \"+5n+\"
\n" ); document.write( "\"+5n%5E2+-+10+=+-7n+\"
\n" ); document.write( "\"+5n%5E2+%2B+7n+-+10+=+0+\"
\n" ); document.write( "Use the quadratic formula
\n" ); document.write( "\"+n+=+%28-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+\"
\n" ); document.write( "\"+a+=+5+\"
\n" ); document.write( "\"+b+=+7+\"
\n" ); document.write( "\"+c+=+-10+\"
\n" ); document.write( "\"+n+=+%28-7+%2B-+sqrt%28+7%5E2+-+4%2A5%2A%28-10%29+%29%29+%2F+%282%2A5%29+\"
\n" ); document.write( "\"+n+=+%28-7+%2B-+sqrt%28+49+%2B+200+%29%29+%2F+10+\"
\n" ); document.write( "\"+n+=+%28-7+%2B-+sqrt%28+249+%29%29+%2F+10+\"
\n" ); document.write( "The 2 answers are
\n" ); document.write( "\"+n+=++%28-7+%2B+sqrt%28+249+%29%29+%2F+10+\"
\n" ); document.write( "\"+n+=++%28-7+-+sqrt%28+249+%29%29+%2F+10+\"
\n" ); document.write( "I could have made a mistake. You might want
\n" ); document.write( "to get a 2nd opinion on this.\r
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