Question

|x-3|-7=13

Answer 1

À tính nhầm tí TH2 \(\Leftrightarrow x=-17\) không nhìn kỹ :D

Answer 2

|x - 3| - 7 = 13

<=> |x - 3| = 13 + 7

<=> |x - 3| = 20

<=> x - 3 = \(\pm\)20

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

Vậy x = 23 hoặc x = -17.

Answer 3

\(\left|x-3\right|-7=13\) ( 1 )

+ ) \(\left|x-3\right|=x-3.\)Khi \(x-3\ge0\Leftrightarrow x\ge3\)

\(\left(1\right)\Leftrightarrow x-3-7=13\)

\(\Leftrightarrow x=23\) ( thõa mãn )

+ ) \(\left|x-3\right|=-x+3.\)Khi \(x-3< 0\Leftrightarrow x< 3\)

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

\(\Leftrightarrow x=-7\) ( thõa mãn )

Vậy................. :D

Answer 4

\(Gi\text{ải}\)

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

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

\(\rightarrow\left|x-3\right|=20\)

Có hai trường hợp

\(x-3=20\)

\(\rightarrow x=20+3\)

\(\rightarrow x=23\)

hoặc

\(x-3=-20\)

\(\rightarrow x=\left(-20\right)+3\)

\(\rightarrow x=-17\)

Vậy \(x=23\) hoặc \(x=-17\)

Answer 5

Ta có :

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

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

\(\left|x-3\right|=20\)

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

\(TH1:\)

\(x-3=20\)

\(x=20+3\)

\(x=23\)

\(TH2:\)

\(x-3=-20\)

\(x=\left(-20\right)+3\)

\(x=-17\)

Vậy \(x\in\left\{23;-17\right\}\) là giá trị cần tìm