Question

[Nguyễn Trang Quỳnh Anh]

2.|​x-1|-9=-13+17

Answer 1

[ღїαɱ_Thuyy Tienn《ᗪɾą》]

2 . |​x-1| - 9 = -13 + 17 

2 . |​x-1| - 9 = 4 

     2 . |x-1| = 4 + 9

     2 . |x-1| = 13

          |x-1| = 13 : 2

          |x-1| = 13/2

=> x - 1 = 13 / 2 hoặc x - 1 = -13 / 2

+) x - 1 = 13 / 2

          x = 13 / 2 + 1

          x = 15 / 2

+) x - 1 = -13 / 2

         x = -13 / 2 + 1

         x = -11 / 2

Vậy x \(\in\) { 15 / 2 ; -11 / 2 }

Answer 2

[★๖ۣۜßảo๖ۣۜPɦα♏๖ۣۜ[EηgĻïšħ☯€lub]★]

\(2\cdot\left|x-1\right|-9=-13+17\)

\(\Leftrightarrow2\cdot\left|x-1\right|-9=5\)

\(\Leftrightarrow2\cdot\left|x-1\right|=5+9\)

\(\Leftrightarrow2\cdot\left|x-1\right|=14\)

\(\Leftrightarrow\left|x-1\right|=\frac{14}{2}\)

 \(\Leftrightarrow\left|x-1\right|=7\Leftrightarrow x-1=\pm7\)

TH1:\(x-1=17\)

\(\Leftrightarrow x=17+1=18\)

TH2:\(x-1=-17\)

\(\Leftrightarrow x=-17+1=-16\)

    Vậy x=18;-16