SOLUTION: The sum of half a number and that number's reciprocal is the same as 51 divided by the number. The number is negative. Find the number.

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Question 216663: The sum of half a number and that number's reciprocal is the same as 51 divided by the number. The number is negative. Find the number.
Answer by RAY100(1637) About Me  (Show Source):
You can put this solution on YOUR website!
Let n= number
.
(n/2) +(1/n) = (51/n),,,,,multiply thru by 2n
.
n^2 + 2 = 2*51 =102
.
n^2 = 100
.
n=+/- 10,,,,,since problem says negative,,,,n=-10
.
checking, (-10)/2 + (-1/10) = 51/(-10)
.
-5 -.1 = -5.1,,,,,,,ok