Question

\(\left(x-\dfrac{1}{2}\right)^2=\dfrac{9}{25}\)

Answer 1

`(x-1/2)^2=9/25`

`=>(x-1/2)^2=(3/5)^2`

`Th1`

`x-1/2=3/5`

`=>x=3/5+1/2`

`=>x= 11/10`

`Th2`

`x-1/2=-3/5`

`=>x=-3/5+1/2`

`=>x= -1/10`

Answer 2

=>x-1/2=3/5 hoặc x-1/2=-3/5

=>x=3/5+1/2=11/10 hoặc x=-1/10

Answer 3

\(\left(x-\dfrac{1}{2}\right)^2=\dfrac{9}{25}\)

\(\left(x-\dfrac{1}{2}\right)^2=\left(\dfrac{3}{5}\right)^2\)

`=>`\(\left[{}\begin{matrix}x-\dfrac{1}{2}=\dfrac{3}{5}\\x-\dfrac{1}{2}=-\dfrac{3}{5}\end{matrix}\right.\)

\(\left[{}\begin{matrix}x=\dfrac{3}{5}+\dfrac{1}{2}\\x=-\dfrac{3}{5}+\dfrac{1}{2}\end{matrix}\right.\)

`=>`\(\left[{}\begin{matrix}x=\dfrac{11}{10}\\x=-\dfrac{1}{10}\end{matrix}\right.\)