Question

Tìm x, y biết |2x-27|²⁰¹¹ +|3y + 10|²⁰¹² =0

Answer 1

Có:

\(\left|2x-27\right|^{2011}\ge0\forall x\)

\(\left(3y+10\right)^{2012}\ge0\forall y\)

\(\Rightarrow\left|2x-27\right|^{2011}+\left(3y+10\right)^{2012}\ge0\forall x;y\)

\(\Rightarrow\left|2x-27\right|^{2011}+\left(3y+10\right)^{2012}=0\)

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