Solve x⁴+ x + x + x + 1 = 0
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$\displaystyle f(x) = x^4 + x^3 + x^2 + x + 1$ has no real roots.
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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