\(x^4+x^3+\frac{1}{4}x^2+3x^2-3x+\frac{3}{4}+\frac{3}{4}x^2+\frac{17}{4}=0\)
\(\Leftrightarrow x^2\left(x^2+x+\frac{1}{4}\right)+3\left(x^2-x+\frac{1}{4}\right)+\frac{3}{4}x^2+\frac{17}{4}=0\)
\(\Leftrightarrow x^2\left(x+\frac{1}{2}\right)^2+3\left(x-\frac{1}{2}\right)^2+\frac{3}{4}x^2+\frac{17}{4}=0\)
Phương trình vô nghiệm