Question

Tính:

\(\left|x-34\right|^{335}+\left|y-12\right|^{34}=0\)

Answer 1

\(\left[x-34\right]^{335}+\left|y-12\right|^{34}=0\)

Để GTBT bằng 0 thì :

\(\left\{\begin{matrix}x-34=0\\y-12=0\end{matrix}\right.\Rightarrow\left\{\begin{matrix}x=34\\y=12\end{matrix}\right.\)

Vậy \(x=34;y=12\) thì GTBT bằng 0.

Answer 2

Vì \(\left|x-34\right|^{335}\ge0;\left|y-12\right|^{34}\ge0\)

\(\Rightarrow\left|x-34\right|^{335}+\left|y-12\right|^{34}\ge0\)

Dấu "=" xảy ra khi \(\left[\begin{matrix}\left|x-34\right|^{335}=0\\\left|x-12\right|^{34}=0\end{matrix}\right.\Rightarrow\left[\begin{matrix}x=34\\y=12\end{matrix}\right.\)