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Don't be confused (Posted on 20161114) 

If x satisfy the equation x^4  x^2 + 1 = 0 , find the value of x^5 + 1/x
Solution

 Comment 1 of 4

Using
the identity
x^{5} + 1/x = (x^{6}
+ 1)/x =
(x^{4} – x^{2} + 1)(x^{2} + 1)/x
it follows that if x satisfies the equation x^{4} – x^{2} + 1 = 0 then
x^{5} + 1/x = 0

Posted by Harry
on 20161114 10:53:23 


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