Question

Tìm x, y thỏa mãn:

( 2x-y+7)²⁰¹⁶ + /x-3/ \(\le\) 0

Answer 1

Vì \(\left(2x-y+7\right)^{2016}\ge0;\left|x-3\right|\ge0\)

\(\Rightarrow\left(2x-y+7\right)^{2016}+\left|x-3\right|\ge0\)

Mà \(\left(2x-y+7\right)^{2016}+\left|x-3\right|\le0\)

\(\Rightarrow\left(2x-y+7\right)^{2016}+\left|x-3\right|=0\)

\(\left(2x-y+7\right)^{2016}=\left|x-3\right|=0\)

Để \(\left|x-3\right|=0\Rightarrow x=3\)

\(\Rightarrow\left(2.3-y+7\right)=0\)

\(6-y+7=0\)

\(\Rightarrow y=13\)