document.write( "Question 71057: Twice a number equals the difference of 6 and 4 times its reciprocal. What are the possible numbers? \n" ); document.write( "
Algebra.Com's Answer #50807 by ankor@dixie-net.com(22740)\"\" \"About 
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Twice a number equals the difference of 6 and 4 times its reciprocal. What are the possible numbers?
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\n" ); document.write( "x = possible numbers
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\n" ); document.write( "2x = 6 - 4(1/x)
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\n" ); document.write( "Get rid of the denominator, multiply equation by x:
\n" ); document.write( "2x^2 = 6x - 4
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\n" ); document.write( "2x^2 - 6x + 4 = 0; our old friend, the quadratic equation
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\n" ); document.write( "Simplify, divide equation by 2 and you have an easily factored equation
\n" ); document.write( "x^2 - 3x + 2 = 0
\n" ); document.write( "(x-2)(x-1) = 0
\n" ); document.write( "x = 2
\n" ); document.write( "and
\n" ); document.write( "x = 1
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\n" ); document.write( "Check using x = 2
\n" ); document.write( "2(2) = 6 - 4(1/2)
\n" ); document.write( "4 = 6 - 2
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\n" ); document.write( "Check using x = 1
\n" ); document.write( "2 = 6 - 4
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