Question

help me

| 2 x - 1 | = |-3|

X=???????????

Answer 1

I 2x - 1 I = I -3I

TH1 : 2x - 1 = 3

=> 2x      = 3 - 1

=> 2x      = 2

=> x        = 1

TH2 : 2x - 1 = -3

=> 2x           = -3 + 1

=> 2x            = -2

=> x              = -2 : 2

=> x              = -1

Answer 2

|2x-1|=|-3|=3

* Nếu 2x-1>=0  => x>=1/2

=> |2x-1|=2x-1  => 2x-1=3  => 2x=4 =>x=2 (thỏa mãn)

* Nếu 2x-1<0 => x<1/2 

=> |2x-1|=1-2x  => 1-2x=3 => 2x=-2 =>x=-1 (thỏa mãn)

Vậy x=2 hoặc x=-1

Answer 3

Ta có: \(\left|2x-1\right|=\left|-3\right|\)

\(\Rightarrow\left|2x-1\right|=3\)

\(\Rightarrow\) \(\left[\begin{array}{nghiempt}2x-1=3\\2x-1=-3\end{array}\right.\) \(\Rightarrow\) \(\left[\begin{array}{nghiempt}2x=4\\2x=-2\end{array}\right.\)  \(\Rightarrow\) \(\left[\begin{array}{nghiempt}x=2\\x=-1\end{array}\right.\)

Vậy x = 2 và x = -1

Answer 4

\(\left|2x-1\right|=\left|-3\right|\)

\(\left|2x-1\right|=3\)

Ta có 2 trướng hợp:

TH1:

2x-1=3

2x=3+1

x=2

TH2:

2x-1=-3

2x=(-3)+1=-2

x=-1

Answer 5

TH1 mình làm sài rồi! Xin lỗi !