Question

Tìm các giá trị của \(x,y\)thỏa mãn:

\(\left|2x-27\right|^{2007}+\left(3y+10\right)^{2008}=0\)

Answer 1

Ta có :

\(\left|2x-27\right|^{2007}+\left(3y+10\right)^{2008}=0\)

Mà \(\left\{{}\begin{matrix}\left|2x-27\right|^{2007}\ge0\\\left(3y+10\right)^{2008}\ge0\end{matrix}\right.\)

\(\Leftrightarrow\left|2x-27\right|^{2007}+\left(3y+10\right)^{2008}\ge0\)

\(\Leftrightarrow\left\{{}\begin{matrix}\left|2x-27\right|^{2007}=0\\\left(3y+10\right)^{2008}=0\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}2x-27=0\\3y+10=0\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}x=\dfrac{27}{2}\\y=-\dfrac{10}{3}\end{matrix}\right.\)

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