Question

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|2x+3|=x+2

Answer 1

\(\left|2x+3\right|=x+2\)

\(\Rightarrow\left[{}\begin{matrix}2x+3=x+2\\-2x-3=x+2\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}2x-x=2-3\\-2x-x=2+3\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}x=-1\\-3x=5\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}x=-1\\x=\dfrac{-5}{3}\end{matrix}\right.\)

Vậy \(x_1=-1;x_2=\dfrac{-5}{3}\)

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Answer 2

⇒ | 2x +3 | = | x + 2 |

⇒ 2x +3 = x + 2

⇒ 2x - x = 2-3

⇒ x = -1