Question

Tập nghiệm của phương trình 2x+10=∣3x−2∣ là S.

S={?}

Answer 1

`2x+10=|3x-2|(x>=-5)`

`<=>`$\left[ \begin{array}{l}2x+10=3x-2\\2x+10=2-3x\end{array} \right.$

`<=>` $\left[ \begin{array}{l}x=12\\5x=-8\end{array} \right.$

`<=>` $\left[ \begin{array}{l}x=12(tm)\\x=-\dfrac85(tm)\end{array} \right.$

Vậy `S={1,-8/5}`

Answer 2

`2x+10=|3x-2|(x>=-5)`

`<=>`$\left[ \begin{array}{l}2x+10=3x-2\\2x+10=2-3x\end{array} \right.$

`<=>` $\left[ \begin{array}{l}x=12\\5x=-8\end{array} \right.$

`<=>` $\left[ \begin{array}{l}x=12(tm)\\x=-\dfrac85(tm)\end{array} \right.$

Vậy `S={12,-8/5}`