Question

| x + 4 | + 12 = 26 ( tìm x )

 

Answer 1

=> \(|x+4|\)  = 14

=> \(\left[{}\begin{matrix}x=10\\x=-18\end{matrix}\right.\)

Vậy \(\left[{}\begin{matrix}x=10\\x=-18\end{matrix}\right.\)

Answer 2

TH1: Nếu x+4\(\ge0\) thì ta được:

\(\left|x+4\right|+12=26\) \(\Leftrightarrow x+4+12=26\Leftrightarrow x+16=26\Leftrightarrow x=26-16=10\)

TH2: Nếu x+4\(< 0\) thì ta được:

\(\left|x+4\right|+12=26\) \(\Leftrightarrow x-4+12=26\Leftrightarrow x+8=26\Leftrightarrow x=26-8=18\)

Vậy ....

Answer 3

\(\left|x+4\right|=26-12\)

\(\left|x+4\right|=14\)

\(->x+4=14\) \(hay\) \(x+4=-14\)

\(->x=14-4\)        \(x=\left(-14\right)-x\)

\(->x=10\)               \(x=-18\)

\(vậy\) \(x\) \(\text{∈}\) \(\left\{-18;10\right\}\)

Answer 4

\(\left|x+4\right|+12=26\)

\(\Rightarrow\left|x+4\right|=26-12=14\)

\(\Rightarrow\left[{}\begin{matrix}x+4=14\\x+4=-14\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=10\\x=-18\end{matrix}\right.\)