Ta có :\(\frac{x-1}{12}=\frac{25}{x-1}\)\(\Rightarrow\left(x-1\right)\left(x-1\right)=12.25\)
\(\Rightarrow\left(x-1\right)^2=300\)
\(\Rightarrow x\in\varnothing\)
\(\frac{x-1}{12}=\frac{25}{x-1}\)
\(\Rightarrow\left(x-1\right)^2=300\)
\(\Rightarrow\left(x-1\right)^2-(10\sqrt{3})^2=0\)
\(\Rightarrow(x-1-10\sqrt{3})\left(x-1+10\sqrt{3}\right)=0\)
\(\Rightarrow\hept{\begin{cases}x=1+10\sqrt{3}\\x=1-10\sqrt{3}\end{cases}}\)
x - 1/12 = 25/x - 1
<=> (x - 1).(x - 1) = 12.25
<=> (x - 1)2 = 300
=> không có x thỏa mãn đề bài
