Tìm x biết :
a) \(\frac{-5}{7}\)-\((\frac{1}{2}-x)\)=\(\frac{-11}{4}\)
b)\((2x-1)^2-5=20\)
c)\(\left(\frac{3}{4}x+3\right)-\left(\frac{2}{3}x-4\right)-\left(\frac{1}{6}x+1\right)=\left(\frac{1}{3}x+4\right)-\left(\frac{1}{3}x-3\right)\)
d)\(\frac{x-6}{4}=\frac{4}{x-6}\)
e)\(\frac{2x-1}{3}=\frac{-27}{1-2x}\)
f)\(\left(x-1\right)^{x+2}=\left(x-1\right)^2\)
a, \(-\frac{5}{7}-\left(\frac{1}{2}-x\right)=-\frac{11}{4}\)
\(\frac{1}{2}-x=\frac{57}{28}\)
\(x=-\frac{43}{28}\)
b, \(\left(2x-1\right)^2-5=20\)
\(\Rightarrow\left(2x-1\right)^2=25\)
\(\Rightarrow2x-1=\pm5\)
\(\Rightarrow\left[{}\begin{matrix}2x-1=5\\2x-1=-5\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}2x=6\\2x=-4\end{matrix}\right.\) \(\Rightarrow\left[{}\begin{matrix}x=3\\x=-2\end{matrix}\right.\)
