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Question
$$x^3+9x+27x+19 = x+1$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} x^3+9x+27x+19 &= x+1&& \text{simplify left side} \\[1 em]x^3+36x+19 &= x+1&& \text{move all terms to the left hand side } \\[1 em]x^3+36x+19-x-1 &= 0&& \text{simplify left side} \\[1 em]x^3+35x+18 &= 0&& \\[1 em] \end{aligned} $$
This polynomial has no rational roots that can be found using Rational Root Test.
Roots were found using qubic formulas.
This page was created using
Polynomial Equations Solver