SOLUTION: Sole step by step X^-2-x^-1=6

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Question 871077: Sole step by step
X^-2-x^-1=6
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
X%5E%28-2%29-x%5E%28-1%29=6

%281%2Fx%5E2%29-%281%2Fx%29+=6

multiply by x^2
1-x=6x%5E2
6x%5E2%2Bx-1=0
%286x%5E2%2B3x-2x-1%29=0
6x%28x%2B%281%2F2%29%29-2%28x%2B%281%2F2%29%29=0
(x+(1/2))(6x-2)=0
any of the factors may be zero
So x= -1/2
OR x=1/3