Question

giúp

Answer 1

Ta có:\(H=\left(x-\frac{2}{7}\right)^{2014}+\left(0,2-\frac{1}{5}y\right)^{2016}+\left(-1\right)^{2015}\)

\(H=\left(x-\frac{2}{7}\right)^{2014}+\left(0,2-\frac{1}{5}y\right)^{2016}+-1\)

Mà \(\left(x-\frac{2}{7}\right)^{2014}\ge0,\left(0,2-\frac{1}{5}y\right)^{2016}\ge0\forall x,y\)

\(\Rightarrow H\ge0+0+-1=-1\)

Vậy GTNN của H là -1 khi \(x=\frac{2}{7},y=1\)