Question 227129: The sum of a number and 8 times its reciprocal is 6. Find the number(s).
Answer by RAY100(1637)   (Show Source):
You can put this solution on YOUR website! Let n= #,,,,,,,reciprocal = 1/n
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n+ 8(1/n) = 6,,,given,,,,,,multiply thru by n
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n^2 +8 = 6n
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n^2 -6n +8 = 0,,,,,,factor
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(n-4)(n-2) = 0
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n= 2, 4
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check,,,,(2),,,,,, 2 + 8*1/2 =6,,,,,ok
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(4),,,,,,4 +8*1/4 = 6,,,,,,ok
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