# Thread: Solve x⁴+ x + x + x + 1 = 0

1. ## Solve x⁴+ x + x + x + 1 = 0

Solve x⁴+ x + x + x + 1 = 0

2. $\displaystyle f(x) = x^4 + x^3 + x^2 + x + 1$ has no real roots.

3. Originally Posted by feyomi
Solve x⁴+ x + x + x + 1 = 0
$\displaystyle x^5-1 = (x-1)(x^4+x^3+x^2+x+1)$

All roots of $\displaystyle x^5-1$ are $\displaystyle 5^{th}$ roots of unity...

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# moivers theorem of x⁴ x³ x² x 1=0

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