Question

Tim cac so nguyen x sao cho:

a)Ix+2I+Iy+5I=0

b)IIyI+Ix+2II+IxI=0

Answer 1

a) \(\left|x+2\right|+\left|y+5\right|=0\)

\(\Rightarrow\begin{cases}\left|x+2\right|=0\\\left|y+5\right|=0\end{cases}\)

\(\Rightarrow\begin{cases}x+2=0\\y+5=0\end{cases}\)

\(\Rightarrow\begin{cases}x=-2\\y=-5\end{cases}\)

b) \(\left|\left|y\right|+\left|x+2\right|\right|+\left|x\right|=0\)

\(\Rightarrow\begin{cases}\left|\left|y\right|+\left|x+2\right|\right|=0\\\left|x\right|=0\end{cases}\)

\(\Rightarrow\begin{cases}\left|y\right|+\left|x+2\right|=0\\x=0\end{cases}\)

Thay x = 0 vào biểu thức \(\left|y\right|+\left|x+2\right|=0\), ta đc:

\(\left|y\right|+\left|0+2\right|=0\Rightarrow\left|y\right|+2=0\Rightarrow\left|y\right|=-2\Rightarrow y=\phi\)

Vậy \(x=0;y=\phi\)

Answer 2