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

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: the sum of a number and its reciprocal is thrice the difference of the number and its reciprocal.the number is      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

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) About Me  (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 + 1%2Fn = 3(n - 1%2Fn)
n + 1%2Fn = 3n - 3%2Fn
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 = sqrt%282%29
I expected an integer, but it checked out on a calc both sides = 2.12132