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Don't be confused (Posted on 2016-11-14) Difficulty: 1 of 5
If x satisfy the equation x^4 - x^2 + 1 = 0 , find the value of x^5 + 1/x

No Solution Yet Submitted by Danish Ahmed Khan    
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Solution Solution | Comment 1 of 4
Using the identity

            x5 + 1/x  =  (x6 + 1)/x  =  (x4 – x2 + 1)(x2 + 1)/x

it follows that if x satisfies the equation  x4 – x2 + 1 = 0 then

            x5 + 1/x = 0




  Posted by Harry on 2016-11-14 10:53:23
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