Question

tim x biet |5-x|-17=13

Answer 1

\(\left|5-x\right|-17=13\)

th1: \(5-x\ge0\Leftrightarrow x\le5\)

\(\Rightarrow\left|5-x\right|-17=13\Leftrightarrow5-x-17=13\Leftrightarrow x=5-17-13\)

\(\Leftrightarrow x=-25\left(tmđk\right)\)

th2: \(5-x< 0\Leftrightarrow x>5\)

\(\Rightarrow\left|5-x\right|-17=13\Leftrightarrow-\left(5-x\right)-17=13\Leftrightarrow-5+x-17=13\)

\(\Leftrightarrow x=13+17+5\Leftrightarrow x=35\left(tmđk\right)\)

vậy \(x=-25;x=35\)

Answer 2

|5-x|-17=13

|5-x|=13+17

|5-x|=30

Nếu 5-x=-30 thì :

x=5-(-30)

x=35

Nếu 5-x=30 thì :

x=5-30

x=-25