document.write( "Question 452008: the sum of 2 consecutive reciprocals of 2 consecutive even integers is 9/40. what are the integers? \n" ); document.write( "

Algebra.Com's Answer #310743 by stanbon(75887) $\"\"$ $\"About$

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the sum of 2 consecutive reciprocals of 2 consecutive even integers is 9/40. what are the integers?
\n" ); document.write( "----------------
\n" ); document.write( "Integers:
\n" ); document.write( "1st: 2x
\n" ); document.write( "2nd: 2x+2
\n" ); document.write( "----
\n" ); document.write( "Reciprocals:
\n" ); document.write( "1st: 1/(2x)
\n" ); document.write( "2nd: 1/(2x+2)
\n" ); document.write( "--------------------------
\n" ); document.write( "Equation:
\n" ); document.write( "1/(2x) + 1/(2x+2) = 9/40
\n" ); document.write( "---
\n" ); document.write( "Multiply thru by 40x(x+1) to get:
\n" ); document.write( "20(x+1) + 20x = 9x(x+1)
\n" ); document.write( "40x+20 = 9x^2+9x
\n" ); document.write( "----
\n" ); document.write( "9x^2-31x-20 = 0
\n" ); document.write( "Positive solution: x = 4
\n" ); document.write( "================================
\n" ); document.write( "1st: 2x = 8
\n" ); document.write( "2nd: 2x+2 = 10
\n" ); document.write( "===================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "============= \n" ); document.write( "

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