Question

tìm x

/x+5/-2x=1

// là gtri tuyệt đối

 

Answer 1

\(\left|x+5\right|-2x=1\)

TH1: \(\left(x+5\right)-2x=1\left(x\ge-5\right)\)

\(\Leftrightarrow x+5-2x=1\)

\(\Leftrightarrow5-x=1\)

\(\Leftrightarrow x=5-1\)

\(\Leftrightarrow x=4\left(tm\right)\)

TH2: \(-\left(x+5\right)-2x=1\left(x< -5\right)\)

\(\Leftrightarrow-x-5-2x=1\)

\(\Leftrightarrow-5-3x=1\)

\(\Leftrightarrow3x=-5-1\)

\(\Leftrightarrow3x=-6\)

\(\Leftrightarrow x=\dfrac{-6}{3}\)

\(\Leftrightarrow x=-2\) (ktm) 

Vậy: x = 4