\(\frac{x-1}{2}\)=\(\frac{8}{x-1}\)=> \(\left(x-1\right)^2\)=2.8
\(\left(x-1\right)^2\)=16
\(\left[\begin{array}{nghiempt}\left(x-1\right)^2=4^2\\\left(x-1\right)^2=\left(-4\right)^2\end{array}\right.\)=>\(\left[\begin{array}{nghiempt}x-1=4\\x-1=\left(-4\right)^{ }\end{array}\right.\)=>\(\left[\begin{array}{nghiempt}x=4+1\\x=\left(-4\right)+1^{ }\end{array}\right.\)=>\(\left[\begin{array}{nghiempt}x=5\\x=-3^{ }\end{array}\right.\)
Vậy x=5 hoặc x=-3
Nhân chéo với 2 phấn số ta có:
( x - 1 )^2 = 16
⇒ ( x - 1 )^2 = 4^2
⇒ x - 1 = 4
⇒ x = 5
\(\frac{x-1}{2}=\frac{8}{x-1}\)
\(\Leftrightarrow\left(x-1\right)^2=8\cdot2\)
\(\Leftrightarrow\left(x-1\right)^2=16\)
Vì \(x-1\) và \(x-1\) là hai số nguyên giống nhau
và \(16=4\cdot4\)
\(\Rightarrow x-1=4\)
\(\Rightarrow x=4+1=5\)
Vậy \(x=5\)
