document.write( "Question 625618: The sum of a number and 2 times its reciprocal is 3. Find the number(s). \n" ); document.write( "
Algebra.Com's Answer #393662 by reynard2007(52)\"\" \"About 
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\n" ); document.write( "Let x be the number and 1/x is its reciprocal. 
\n" ); document.write( "\"x%2B2%281%2Fx%29=3\"
\n" ); document.write( "Multiply x to both sides to get rid of x in the denominator.
\n" ); document.write( "\"x%5E2%2B2=3x\"
\n" ); document.write( "Then transpose 3x to the left side, and you will get a quadratic equation.
\n" ); document.write( "\"x%5E2-3x%2B2=0\"
\n" ); document.write( "Factor that.
\n" ); document.write( "\"%28x-1%29%28x-2%29=0\"
\n" ); document.write( "If any of the factors is equal to zero, then the equation becomes true. The answer then is 1 or 2.
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