Đáp án:
\(\left[ \begin{array}{l}
x = 1\\
x = - 2,107784985
\end{array} \right.\)
Giải thích các bước giải:
\(\begin{array}{l}
- 4{x^4} - 6{x^3} + {x^2} - 3x + 12 = 0\\
\to - 4{x^4} + 4{x^3} - 10{x^3} + 10{x^2} - 9{x^2} + 9x - 12x + 12 = 0\\
\to - 4{x^3}\left( {x - 1} \right) - 10{x^2}\left( {x - 1} \right) - 9x\left( {x - 1} \right) - 12\left( {x - 1} \right) = 0\\
\to \left( {x - 1} \right)\left( { - 4{x^3} - 10{x^2} - 9x - 12} \right) = 0\\
\to \left[ \begin{array}{l}
x - 1 = 0\\
- 4{x^3} - 10{x^2} - 9x - 12 = 0
\end{array} \right.\\
\to \left[ \begin{array}{l}
x = 1\\
x = - 2,107784985
\end{array} \right.
\end{array}\)
