Question

Tìm x,y:

\(\left|2x+7\right|-\dfrac{1}{2}=4\)

Giúp mình câu này nữa nhe. Thanks

Answer 1

\(\left|2x+7\right|-\dfrac{1}{2}=4\)

\(\Rightarrow\left|2x+7\right|=\dfrac{9}{2}\)

\(\Rightarrow\left[{}\begin{matrix}2x+7=\dfrac{9}{2}\\2x+7=-\dfrac{9}{2}\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}2x=-\dfrac{5}{2}\\2x=-\dfrac{23}{2}\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}x=-\dfrac{5}{4}\\x=-\dfrac{23}{4}\end{matrix}\right.\)

Vậy: \(x\in\left\{-\dfrac{5}{4};-\dfrac{23}{4}\right\}\).