document.write( "Question 227129: The sum of a number and 8 times its reciprocal is 6. Find the number(s). \n" ); document.write( "
Algebra.Com's Answer #168860 by RAY100(1637)\"\" \"About 
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Let n= #,,,,,,,reciprocal = 1/n
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\n" ); document.write( "n+ 8(1/n) = 6,,,given,,,,,,multiply thru by n
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\n" ); document.write( "n^2 +8 = 6n
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\n" ); document.write( "n^2 -6n +8 = 0,,,,,,factor
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\n" ); document.write( "(n-4)(n-2) = 0
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\n" ); document.write( "n= 2, 4
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\n" ); document.write( "check,,,,(2),,,,,, 2 + 8*1/2 =6,,,,,ok
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\n" ); document.write( "(4),,,,,,4 +8*1/4 = 6,,,,,,ok
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