Từ gt,suy ra : (x - 2)(2 - x) = -16.4
-(x - 2)2 = -64
(x - 2)2 = 64
\(\Rightarrow\orbr{\begin{cases}x-2=-8\\x-2=8\end{cases}\Rightarrow\orbr{\begin{cases}x=-6\\x=10\end{cases}}}\)
\(x=-16.4=-64\)
\(x^2=-8^2\)
Vay: x=-8
Ma theo de bai x-2
Nen ta lay x+2
x+2=-8+2=-6
=>\(x=-6\)
x-2/4=-16/2-x
=>x-2/4=-16/-(x-2)=16/x-2
=> (x-2)^2=16*4=64
=>x-2=8 hoặc x-2=-8
=>x=10 hoặc =>x=-6
KL
\(\frac{x-2}{4}=\frac{-16}{2-x}\)
\(\Leftrightarrow\left(x-2\right)\left(2-x\right)=4\times\left(-16\right)\)
\(\Leftrightarrow2x-x^2-4+2x=-64\)
\(\Leftrightarrow4x-x^2-4+64=0\)
\(\Leftrightarrow4x-x^2+60=0\)
\(\Leftrightarrow-x^2+10x-6x+60=0\)
\(\Leftrightarrow-x\left(x-10\right)-6\left(x-10\right)=0\)
\(\Leftrightarrow\left(x-10\right)\left(-x-6\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x-10=0\\-x-6=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=10\\x=-6\end{cases}}}\)
