Đáp án:
\(\left[ \begin{array}{l}x=\dfrac{7}{10}\\x=\dfrac{3}{10}\end{array} \right.\)
Giải thích các bước giải:
`(x-1/2)^2=1/25=0`
`=>(x-1/2)^2=0+1/25`
`=>(x-1/2)^2=1/25`
`=>`\(\left[ \begin{array}{l}x-\dfrac{1}{2}=(\dfrac{1}{5})^2\\x-\dfrac{1}{2}=(\dfrac{-1}{5})^2\end{array} \right.\)
`=>`\(\left[ \begin{array}{l}x-\dfrac{1}{2}=\dfrac{1}{5}\\x-\dfrac{1}{2}=\dfrac{-1}{5}\end{array} \right.\)
`=>`\(\left[ \begin{array}{l}x=\dfrac{1}{5}+\dfrac{1}{2}\\x=\dfrac{-1}{5}+\dfrac{1}{2}\end{array} \right.\)
`=>`\(\left[ \begin{array}{l}x=\dfrac{2}{10}+\dfrac{5}{10}\\x=\dfrac{-2}{10}+\dfrac{5}{10}\end{array} \right.\)
`=>`\(\left[ \begin{array}{l}x=\dfrac{7}{10}\\x=\dfrac{3}{10}\end{array} \right.\)
`text{Vậy}` `x∈{7/10;3/10}`