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$$5x^3+6x^2-17x+2 = x+3$$
Answer
$$ \begin{matrix}x_1 = -0.05461 & x_2 = 1.42493 & x_3 = -2.57033 \end{matrix} $$
Explanation
$$ \begin{aligned} 5x^3+6x^2-17x+2 &= x+3&& \text{move all terms to the left hand side } \\[1 em]5x^3+6x^2-17x+2-x-3 &= 0&& \text{simplify left side} \\[1 em]5x^3+6x^2-18x-1 &= 0&& \\[1 em] \end{aligned} $$
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