Question

a) |x+3| =11

b)\(\frac{17}{12}\)-|x+3|\(=\)\(\frac{5}{6}\)

Answer 1

Lời giải:

a) $|x+3|=11$

\(\Rightarrow \left[\begin{matrix} x+3=11\\ x+3=-11\end{matrix}\right.\Rightarrow \left[\begin{matrix} x=8\\ x=-14\end{matrix}\right.\)

b) $\frac{17}{12}-|x+3|=\frac{5}{6}$

$\Rightarrow |x+3|=\frac{17}{12}-\frac{5}{6}=\frac{7}{12}$

\(\Rightarrow \left[\begin{matrix} x+3=\frac{7}{12}\\ x+3=-\frac{7}{12}\end{matrix}\right.\Rightarrow \left[\begin{matrix} x=\frac{-29}{12}\\ x=\frac{-43}{12}\end{matrix}\right.\)