$$5x^3-2x^2+7x = 1$$
Answer
$$ \begin{matrix}x_1 = 0.14675 & x_2 = 0.12662+1.16052i & x_3 = 0.12662-1.16052i \end{matrix} $$
Explanation
$$ \begin{aligned} 5x^3-2x^2+7x &= 1&& \text{move all terms to the left hand side } \\[1 em]5x^3-2x^2+7x-1 &= 0&& \\[1 em] \end{aligned} $$
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