Question

Answer 1

\(\left(x-\dfrac{1}{5}\right)^2+1=3,5:7\%\\ \Leftrightarrow\left(x-\dfrac{1}{5}\right)^2+1=\dfrac{7}{2}:\dfrac{7}{100}\\ \Leftrightarrow\left(x-\dfrac{1}{5}\right)^2+1=50\\ \Leftrightarrow\left(x-\dfrac{1}{5}\right)^2=49\\ \Leftrightarrow\left[{}\begin{matrix}x-\dfrac{1}{5}=7\\x-\dfrac{1}{5}=-7\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=7+\dfrac{1}{5}=\dfrac{36}{5}\\x=-7+\dfrac{1}{5}=-\dfrac{34}{5}\end{matrix}\right.\)