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Don't be confused (Posted on 2016-11-14)

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

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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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