Решете x^{2}+x^n+2=x^2n+x^2x^n

$$x ^ { 2 } + x ^ { n + 2 } = x ^ { 2 n } + x ^ { 2 } x ^ { n }$$

Решаване за n

$$\left\{\begin{matrix}\\n=1\text{, }&\text{unconditionally}\\n\in \mathrm{R}\text{, }&x=1\text{ or }\left(x=-1\text{ and }Numerator(2n)\text{bmod}2=0\text{ and }Denominator(n)\text{bmod}2=1\right)\\n>0\text{, }&x=0\end{matrix}\right,$$

Решаване за x

$$\left\{\begin{matrix}\\x=1\text{, }&\text{unconditionally}\\x=-1\text{, }&Numerator(2n)\text{bmod}2=0\text{ and }Denominator(n)\text{bmod}2=1\\x=0\text{, }&n>0\\x\neq 0\text{, }&n=1\end{matrix}\right,$$