document.write( "Question 477037: if a number is subtracted from twice its reciprocal, The result is -23/5.What is the number. \n" ); document.write( "
Algebra.Com's Answer #327043 by nerdybill(7384)\"\" \"About 
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if a number is subtracted from twice its reciprocal, The result is -23/5.What is the number.
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\n" ); document.write( "Let x = the number
\n" ); document.write( "then
\n" ); document.write( "1/x = the reciprocal
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\n" ); document.write( "x - 2(1/x) = -23/5
\n" ); document.write( "x - 2/x = -23/5
\n" ); document.write( "multiplying both sides by 5x:
\n" ); document.write( "5x^2 - 10 = -23x
\n" ); document.write( "5x^2 + 23x - 10 = 0
\n" ); document.write( "(5x-2)(x+5) = 0
\n" ); document.write( "x = {2/5, -5}
\n" ); document.write( "answer: -5
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