SOLUTION: the sum of a number and its reciprocal is thrice the difference of the number and its reciprocal.the number is

Question 825746: the sum of a number and its reciprocal is thrice the difference of the number and its reciprocal.the number is
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
the sum of a number and its reciprocal is thrice the difference of the number and its reciprocal.the number is
:
n + = 3(n - )
n + = 3n -
mult both sides by n
n^2 + 1 = 3n^2 - 3
1 + 3 = 3n^2 - n^2
4 = 2n^2
divide both sides by 2
2 = n^2
n =
I expected an integer, but it checked out on a calc both sides = 2.12132
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