Question

(2x - 1 ) 2 = 25

 

Answer 1

`(2x - 1) xx 2 = 25`

`=> 2x - 1 = 25/2 = 12,5`

`=> 2x = 13,5`

`=> x = (13,5)/2`

`=> x = 6,75`.

Answer 2

`(2x-1)^2` hay `(2x-1)*2?`

Answer 3

\(\left(2x-1\right)^2=25\\ \Leftrightarrow\left[{}\begin{matrix}2x-1=5\\2x-1=-5\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}2x=6\\2x=-4\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x=3\\x=-2\end{matrix}\right.\)

Answer 4

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

`=>(2x-1)^2 = (+-5)^2`

`TH1:2x-1=5`

`=>2x=6`

`=>x=3`

`TH2:2x-1=-5`

`=>2x=-4`

`=>x=-2`

Vậy `x in {-2;3}`

Answer 5

Answer 6

`(2x - 1)^2 = 25`

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

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

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

`=>` \(\left\{{}\begin{matrix}2x=6\\2x=4\end{matrix}\right.\)

`=>` \(\left\{{}\begin{matrix}x=6:2\\x=4:2\end{matrix}\right.\)

`=>` \(\left\{{}\begin{matrix}x=3\\x=2\end{matrix}\right.\)