document.write( "Question 945389: The sum of 2 times a number and twice its reciprocal is 20/3.
\n" ); document.write( "Find the number(s). \n" ); document.write( "

Algebra.Com's Answer #576551 by Horlaye(27) $\"\"$ $\"About$

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Let x represent the number
\n" ); document.write( " From the sentence
\n" ); document.write( " 2(x) + 2(1/x) = 20/3
\n" ); document.write( " 2x + 2/x = 20/3
\n" ); document.write( "multiply both sides of the equation by 3x
\n" ); document.write( " 6x^² + 6 = 20x
\n" ); document.write( " 6x^² - 20x + 6 = 0
\n" ); document.write( " 6x^² - 18x - 2x + 6 = 0
\n" ); document.write( " 6x(x-3) -2(x-3) = 0
\n" ); document.write( " (6x-2) (x-3) = 0
\n" ); document.write( " 6x-2 = 0 or x-3 = 0
\n" ); document.write( " 6x = 2 or. x = 3
\n" ); document.write( " x = 2/6
\n" ); document.write( " x = 1/3
\n" ); document.write( "Since x represented the number
\n" ); document.write( "Therefore x = 1/3 or 3 \n" ); document.write( "

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