Tìm x, biết: a) |x - 3/2| + 11/4 = 15/4 b) 17/4 - |5/6 -x| = -7/4

* Hướng dẫn giải

a) $\left|x-\frac{3}{2}\right|+\frac{11}{4}=\frac{15}{4}\Rightarrow \left|x-\frac{3}{2}\right|=1\Rightarrow \left[\begin{array}{l}x=\frac{5}{2}\\ x=\frac{1}{2}\end{array}\right.$

b) $\frac{17}{4}-\left|\frac{5}{6}-x\right|=-\frac{7}{4}\Rightarrow \left|\frac{5}{6}-x\right|=6\Rightarrow \left[\begin{array}{l}x=\frac{-31}{6}\\ x=\frac{41}{6}\end{array}\right.$