Question

Tìm x, y biết: \(\left(\dfrac{1}{2}\times x-5\right)^{20}+\left(y^2-\dfrac{1}{2}\right)^{20}\le0\)

Answer 1

Để\(\left(\dfrac{1}{2}\times x-5\right)^{20}+\left(y^2-\dfrac{1}{2}\right)^{20}\le0\) thì \(\left(\dfrac{1}{2}\times x-5\right)\)và \(\left(y^2-\dfrac{1}{2}\right)\le0\) .

Để \(\left(\dfrac{1}{2}\times x-5\right)\)và \(\left(y^2-\dfrac{1}{2}\right)\le0\) thì \(\dfrac{1}{2}\times x\le5\) và \(y^2\le\dfrac{1}{2}\).

Vậy ta có :

\(\dfrac{x}{2}\le5\Rightarrow x\le10\)

\(y^2\le\dfrac{1}{2}\Rightarrow y\le\dfrac{1}{4}\)