` √(6-5x)^2 = 6` Đang gấp ạ

2 câu trả lời

$\textit{Đáp án + Giải thích các bước giải:}$

$\text{$\sqrt{(6 - 5x)^2}$ = 6}$

$\text{⇔ $|6 - 5x|$ = 6}$

$\text{⇔ \(\left[ \begin{array}{l}6-5x=6\\6-5x=-6\end{array} \right.\) }$

$\text{⇔ \(\left[ \begin{array}{l}5x=0\\5x=12\end{array} \right.\) }$

$\text{⇔ \(\left[ \begin{array}{l}x=0\\x=\dfrac{12}{5}\end{array} \right.\) }$

$\text{Vậy $x$ ∈ {0; $\dfrac{12}{5}$}}$

$\text{#Táo vàng}$

`\sqrt{(6 - 5x)^{2}} = 6`

`<=> |6 - 5x| = 6`

$\Leftrightarrow$ $\left[\begin{matrix} 6-5x=6\\ 6-5x=-6\end{matrix}\right.$

$\Leftrightarrow$ $\left[\begin{matrix} 5x=6-6\\ 5x=6+6\end{matrix}\right.$

$\Leftrightarrow$ $\left[\begin{matrix} 5x=0\\ 5x=12\end{matrix}\right.$

$\Leftrightarrow$ $\left[\begin{matrix} x=0:5\\ x=12:5\end{matrix}\right.$

$\Leftrightarrow$ $\left[\begin{matrix} x=0\\ x=\dfrac{12}{5}\end{matrix}\right.$

$\text{Vậy}$ `x \in {0 ; 12/5}`

$\text{Áp dụng:}$

`\sqrt{a^{2}} = |a|`