\(35-\left|2x-1\right|=14\)
\(\Leftrightarrow\left|2x-1\right|=21\)
\(\Rightarrow\left\{{}\begin{matrix}2x-1=21\left(x\ge\dfrac{1}{2}\right)\\2x-1=-21\left(x< \dfrac{1}{2}\right)\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}2x=22\\2x=-20\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}x=11\left(nhan\right)\\x=-10\left(nhan\right)\end{matrix}\right.\)
35 - | 2x - 1 | = 14
| 2x - 1 | = 35 - 14
| 2x - 1 | = 21
⇒ 2x - 1 = 21 ⇒ 2x = 22 ⇒ x = 11
2x - 1 = -21 2x = -20 x = -10
Vậy x ∈ { 11 ; -10 }
Bạn ơi sau mỗi dấu ⇒ là bạn nhớ thêm dấu ngoặc vuông lớn đấy nhé
\(35-\left|2x-1\right|=14\\ \Rightarrow\left|2x-1\right|=35-14=21\\ \Rightarrow\left[{}\begin{matrix}2x-1=21\\2x-1=-21\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}2x=21+1=22\\2x=-21+1=-20\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=\dfrac{22}{2}=11\\x=-\dfrac{20}{2}=-10\end{matrix}\right.\)
vậy....