Question

|x-3|-7=13

Answer 1

|x-3|-7=13

=> |x-3|=20

=> \(\left[{}\begin{matrix}x-3=20\\x-3=-20\end{matrix}\right.=>\left[{}\begin{matrix}x=23\\x=-17\end{matrix}\right.\)

Answer 2

\(\left|x-3\right|-7=13\\ \left|x-3\right|=13+7\\ \left|x-3\right|=20\)

\(\circledast\)TH₁: x-3=20

x=20+3

x=23

\(\circledast\)x-3=-20

x=-20+3

x=-17

Vậy \(x\in\left\{-17;23\right\}\).

Answer 3

\(|x-3|-7=13\)

\(|x-3|=20\)

\(\Rightarrow x-3=20\) hoặc \(x-3=-20\)

\(\Rightarrow x=23\) hoặc \(x=-23\)

Vậy \(x\in\left\{23;-23\right\}\)