Question

Tìm x

\(x^5\)+\(x^4+x^3+x^2+x+1=0\)

Answer 1

Chúc bn học tốt nhé

Answer 2

\(x^5+x^4+x^3+x^2+x+1=0\)

\(\Leftrightarrow\left(x^5+x^4\right)+\left(x^3+x^2\right)+\left(x+1\right)=0\)

\(\Leftrightarrow x^4\left(x+1\right)+x^2\left(x+1\right)+\left(x+1\right)=0\)

\(\Leftrightarrow\left(x+1\right)\left(x^4+x^2+1\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}x+1=0\\x^4+x^2+1=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=-1\\x\in\varnothing\end{matrix}\right.\)