# Math Help - Solve x⁴+ x³ + x² + x + 1 = 0

1. ## Solve x⁴+ x³ + x² + x + 1 = 0

Solve x⁴+ x³ + x² + x + 1 = 0

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

3. Originally Posted by feyomi
Solve x⁴+ x³ + x² + x + 1 = 0
$x^5-1 = (x-1)(x^4+x^3+x^2+x+1)$

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