1. Does the equation $x^{4}-4 x^{3}-6 x^{2}-3 x+9=0$ have negative roots?
Answer: no.

Solution. Transform the given equation: $x^{4}-4 x^{3}-6 x^{2}-3 x+9=0 \Leftrightarrow\left(x^{2}-3\right)^{2}-4 x^{3}-3 x=0$, $\left(x^{2}-3\right)^{2}=4 x^{3}+3 x \Leftrightarrow\left(x^{2}-3\right)^{2}=x\left(4 x^{2}+3\right)$. If $x0$ for all values of $x$ )

“-” - only the answer is provided

“-" - the problem is not solved or solved incorrectly