document.write( "Question 821765: If the product of two positive numbers is 8 and their sum is 6, find the sum of their reciprocals \n" ); document.write( "

Algebra.Com's Answer #494398 by jhunjiro(67) $\"\"$ $\"About$

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Let:
\n" ); document.write( "x - 1st positive integer
\n" ); document.write( "y - 2nd positive integer
\n" ); document.write( "-
\n" ); document.write( " $\"xy=8\"$ eq 1
\n" ); document.write( "-
\n" ); document.write( " $\"x%2By=6\"$ eq 2
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\n" ); document.write( "Solution:
\n" ); document.write( "-formulate eq 1
\n" ); document.write( " $\"x=8%2Fy\"$ eq3
\n" ); document.write( "-then subtitute eq 3 to eq 2
\n" ); document.write( " $\"%288%2Fy%29%2By=6\"$
\n" ); document.write( "-multiply both sides by y
\n" ); document.write( " $\"8%2By%5E2=6y\"$
\n" ); document.write( "-
\n" ); document.write( " $\"y%5E2-6y%2B8=0\"$
\n" ); document.write( "-factor
\n" ); document.write( " $\"%28y-2%29%28y-4%29=0\"$
\n" ); document.write( "-
\n" ); document.write( " $\"highlight%28y=2%29\"$
\n" ); document.write( "-
\n" ); document.write( "reciprocal $\"highlight%28y=1%2F2%29\"$
\n" ); document.write( "-
\n" ); document.write( " $\"x=8%2F2\"$
\n" ); document.write( "-
\n" ); document.write( " $\"highlight+%28x=4%29\"$
\n" ); document.write( "-
\n" ); document.write( "reciprocal $\"highlight+%28x=1%2F4%29\"$
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\n" ); document.write( "sum of their reciprocal
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\n" ); document.write( " $\"1%2F2%2B1%2F4%29\"$ LCD=4
\n" ); document.write( " $\"%282%2B1%29%2F4%29\"$
\n" ); document.write( "= $\"highlight+%283%2F4%29%29\"$ \r
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