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Math Help - Solve x⁴+ x + x + x + 1 = 0

  1. #1
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    Solve x⁴+ x + x + x + 1 = 0

    Solve x⁴+ x + x + x + 1 = 0
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  2. #2
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    f(x) = x^4 + x^3 + x^2 + x + 1 has no real roots.
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  3. #3
    MHF Contributor chiph588@'s Avatar
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    Quote Originally Posted by feyomi View Post
    Solve x⁴+ x + x + 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...
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