(1/x-2/3)^2-1/16=0
=> (1/x-2/3)^2=1/16
=>1/x-2/3=1/4
=> 1/x=11/12
=>x=12/11
\(\Rightarrow\left(\frac{1}{x}-\frac{2}{3}\right)^2=\frac{1}{16}\Rightarrow\frac{1}{x}-\frac{2}{3}=\frac{1}{4}\Rightarrow\frac{1}{x}=\frac{1}{4}+\frac{2}{3}=\frac{11}{13}\Rightarrow x=\frac{13}{11}\)
\(\left(\frac{1}{x}-\frac{2}{3}\right)^2-\frac{1}{16}=0\)
\(\left(\frac{1}{x}-\frac{2}{3}\right)^2-\frac{1}{16}=0\Leftrightarrow\frac{1}{x}-\frac{2}{3}=-\frac{1}{4}\Rightarrow\frac{1}{x}=\frac{5}{12}\Leftrightarrow12=5x\Rightarrow x=\frac{12}{5}\)
\(\left(\frac{1}{x}-\frac{2}{3}\right)^2-\frac{1}{16}=0\Leftrightarrow\frac{1}{x}-\frac{2}{3}=\frac{1}{4}\Leftrightarrow\frac{1}{x}=\frac{11}{12}\Leftrightarrow12=11x\Leftrightarrow x=\frac{12}{11}\)
<=>1/x-2/3=1/4
<=>1/x=1/4+2/3=11/12
<=>x=12/11