Question

/2x-3/=x+1

Answer 1

|2x-3|=x+1

\(\Rightarrow2x-3=\pm\left(x+1\right)\)

Nếu \(2x-3=x+1\)

\(\Leftrightarrow x=4\)

Nếu \(2x-3=-\left(x+1\right)\)

\(\Leftrightarrow2x-3=-x-1\)

\(\Leftrightarrow3x=2\)

\(\Leftrightarrow x=\frac{2}{3}\)

Answer 2

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

Nếu x \(\ge\)2 => |2x-3|=2x-3

=>2x-3=x+1

=> 2x-x=1+3

=>x=4( thỏa ) 

Nếu x<2 => |2x-3|=2(-x)+3

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

=> -2x+3=x+1

=>-2x-x=1-2

=> -3x=-1 

=>x=1/3( không thỏa ) 

Vậy x=4