Question

Tìm x, biết: /2x+3/=x+2

 

Answer 1

Do \(\left|2x+3\right|=x+2\)

\(\Leftrightarrow\left[\begin{array}{nghiempt}2x+3=x+2\\2x+3=-\left(x+2\right)\end{array}\right.\)

\(\Leftrightarrow\left[\begin{array}{nghiempt}2x-x=2-3\\2x+3=-x-2\end{array}\right.\)

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

\(\Leftrightarrow\left[\begin{array}{nghiempt}x=-1\\3x=-5\end{array}\right.\)

\(\Leftrightarrow\left[\begin{array}{nghiempt}x=-1\\x=-\frac{5}{3}\end{array}\right.\)

Answer 2

\(\left|2x+3\right|=x+2\)  (1)

+)TH1: \(2x+3\ge0\Rightarrow x\ge-\frac{3}{2}\) yhif pt (1) trở thành

   \(2x+3=x+2\Leftrightarrow x=-1\left(Tm\right)\)

+)TH2: \(2x+3< 0\Leftrightarrow x< -\frac{3}{2}\) thi pt (1) trở thành

  \(-2x-3=x+2\Leftrightarrow-3x=5\Leftrightarrow x=-\frac{5}{3}\) (TM)

Answer 3

 -1 nha bn

Answer 4

/2x+3/=x+2

=>2x+3=-(x+2) hoặc x+2

Với 2x+3=-(x+2)

=>2x+3=-x-2

=>3x=-5 <=>x=-5/3

Với 2x+3=x+2

=>2x-x=3-2

=>x=1

Answer 5

chết mk viết nhầm =-1 ms đúng

Answer 6

Th1: 2x+3≥0
Khi đó: |2x+3| =x+2
-> (2x+3)=x+2
-> 2x+3=x+2
->2x-x=2-3
-> x=-1
Th2: 2x+3 < 0
Khi đó: |2x+3|=x+2
-> -(2x+3)=x+2
-> -2x-3=x+2
-> -3x=5
-> x=-5/3