Question

\(\left(x-\dfrac{1}{5}\right)^{2004}+\left(y+0,4\right)^{100}+\left(z-3\right)^{678}=0\)

Answer 1

\(\left(x-\dfrac{1}{5}\right)^{2004}+\left(y+0.4\right)^{100}+\left(z-3\right)^{678}=0\)

\(\Rightarrow\left\{{}\begin{matrix}x-\dfrac{1}{5}=0\\y+0.4=0\\z-3=0\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}x=\dfrac{1}{5}\\y=-0.4\\z=3\end{matrix}\right.\)

Answer 2

Vì (x-1/5)²⁰⁰⁴ \(\ge\)0

(y+0,4)¹⁰⁰\(\ge\)0

(z-3)⁶⁷⁸\(\ge\)0

=>(x-1/5)²⁰⁰⁴+(y+0,4)¹⁰⁰+(z-3)⁶⁷⁸\(\ge0\)

Dấu "="xảy ra khi \(\left\{{}\begin{matrix}x-\dfrac{1}{5}=0\\y+0,4=0\\z-3=0\end{matrix}\right.\) =>\(\left\{{}\begin{matrix}x=\dfrac{1}{5}\\y=-0,4\\z=3\end{matrix}\right.\)

Vậy x=1/5,y=-0,4,z=3