Level:
Project ID:
1003189106
Accepted:
1
Given \( x\in\mathbb{R} \), find the solution set of the following equation.
\[ 2x^4+x^3+2x^2+x=0 \]
Hint: Decompose the polynomial on the left side of the equation into factors.
\( \left\{-\frac12;0\right\} \)
\( \{-1;0\} \)
\( \left\{-1;0;\frac12;1\right\} \)
\( \left\{-\frac{\sqrt2}2;0;1;\frac{\sqrt2}2\right\} \)