ĐK: \(x \ne -2\)
\(\dfrac{x+2}{2}=\dfrac{8}{x+2} \\ \Leftrightarrow (x+2)^2=8.2 \\ \Leftrightarrow (x+2)^2=4^2=(-4)^2 \\ \Leftrightarrow\left[ \begin{array}{l}x+2=4\\x+2=-4\end{array} \right. \\ \Leftrightarrow \left[ \begin{array}{l}x=2\\x=-6\end{array} \right. \)
Vậy \(x=2;x=-6\).
cái....đánh máy xong công thức xong rồi đến lúc chèn vào nó lỗi, cáu:vv
\(\dfrac{x+2}{2}=\dfrac{8}{x+2}\Rightarrow\left(x+2\right)^2=16\)
\(\Rightarrow\left[{}\begin{matrix}\left(x+2\right)^2=4^2\\\left(x+2\right)^2=\left(-4\right)^2\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x+2=4\\x+2=-4\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=2\\x=-6\end{matrix}\right.\)
Vậy...
ĐKXĐ: x≠-2
Ta có: \(\dfrac{x+2}{2}=\dfrac{8}{x+2}\)
\(\Leftrightarrow\left(x+2\right)^2=16\)
\(\Leftrightarrow\left[{}\begin{matrix}x+2=4\\x+2=-4\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=2\left(nhận\right)\\x=-6\left(nhận\right)\end{matrix}\right.\)
Vậy: \(x\in\left\{2;-6\right\}\)
x2+22=2.8
x2+4=16
x2=16-4
x2=12
vay x bang +_ can 12