SOLUTION: (x+1/x)(x+1/X)=3

Algebra -> Logarithm Solvers, Trainers and Word Problems -> SOLUTION: (x+1/x)(x+1/X)=3 Log On

Algebra: LogarithmSection

Answers archiveAnswers

Click here to see ALL problems on logarithm

Question 828083: (x+1/x)(x+1/X)=3
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
(x+1/x)(x+1/X)=3
-----
Cross-multiply to get:
(x+1/x) = 3(x+1/x)
----
x + 1/x = 3x + 3(1/x)
--------
2x + 2(1/x) = 0
----
x + 1/x = 0
----
x^2 + 1 = 0
x = i or x = -i
-------
Cheers,
Stan H.