SOLUTION: solve X for X^(2n)-1<0

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: solve X for X^(2n)-1<0      Log On


   

Question 1100632: solve X for X^(2n)-1<0
Found 2 solutions by Fombitz, Alan3354:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
X%5E%282n%29-1%3C0
%28X%5En-1%29%28X%5En%2B1%29%3C0
The right hand term is always greater than or equal to 1 if X%3E0.
X%5En-1%3C0
X%5En%3C1
X%3C1
So then,
0%3CX%3C1

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
solve X for X^(2n)-1<0
-----------
x^(2n) < 1
2n*log(x) < 0
log(x) < 0
x < 1 (if n > 0)