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Question

if x4+x3+x2+x+1=0 then the value of x5 is

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Solution

We are given x4 + x3 + x2+ x + 1 = 0

x4 + x3 + x2+ x = - 1 ---(1)

Multiply throughout by x,

x5 + x4 + x3 + x2 + x = 0

x5 + (- 1) = 0, using (1)

x5 - 1 = 0

x5 = 1

Hence, the answer.

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