Đáp án:
\(\left[ \begin{array}{l}
x = \dfrac{1}{2}\\
x = 11,21328686
\end{array} \right.\)
Giải thích các bước giải:
\(\begin{array}{l}
2{x^4} - 13{x^3} + 24{x^2} - 13x + 2 = 0\\
\to 2{x^4} - {x^3} - 12{x^3} + 6{x^2} + 18{x^2} - 9x - 4x + 2 = 0\\
\to {x^3}\left( {2x - 1} \right) - 12{x^2}\left( {2x - 1} \right) + 9x\left( {2x - 1} \right) - 2\left( {2x - 1} \right) = 0\\
\to \left( {2x - 1} \right)\left( {{x^3} - 12{x^2} + 9x - 2} \right) = 0\\
\to \left[ \begin{array}{l}
x = \dfrac{1}{2}\\
{x^3} - 12{x^2} + 9x - 2 = 0
\end{array} \right.\\
\to \left[ \begin{array}{l}
x = \dfrac{1}{2}\\
x = 11,21328686
\end{array} \right.
\end{array}\)
