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$$-x^3+8x^2-15x+3 = 0$$
Answer
$$ \begin{matrix}x_1 = 0.22661 & x_2 = 2.51997 & x_3 = 5.25342 \end{matrix} $$
Explanation
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