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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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Puzzle Solution

Comment 5 of 5 |

Sunsttitute: y=x^2

Noe, we know that:

(y^2 - y+1)(y+1)= y^3+1

But, y^2-y+1

= x^4-x^2+1

Accordingly, y^3+1=0, so that:

x^6+1=0

Dividing both sides by x, we obtain:

x^5 +1/x=0

Posted by K Sengupta on 2022-07-06 00:02:14

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