For how many nonzero values of x does x = 1?

Question by Lê Quốc Trần Anh

15/08/2017 at 09:47

Kaya Renger Coordinator 15/08/2017 at 10:21

With x^2x = 1

\(\Rightarrow\left[{}\begin{matrix}x=1\\2x=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=1\\x=0\end{matrix}\right.\)

But the question asked how many non-zero values of x

So that : x = 1
Phan Thanh Tinh Coordinator 15/08/2017 at 14:10

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

P/S : Kaya Renger missed a root.