Question

|3/4-1/2*x|+1/2=5/6

Answer 1

\(\left|\frac{3}{4}-\frac{1}{2}\cdot x\right|+\frac{1}{2}=\frac{5}{6}\)

\(\Rightarrow\left|\frac{3}{4}-\frac{1}{2}\cdot x\right|=\frac{1}{3}\)

\(\Rightarrow\frac{3}{4}-\frac{1}{2}\cdot x=\frac{1}{3}\) hoặc \(\frac{3}{4}-\frac{1}{2}\cdot x=-\frac{1}{3}\)

\(\Rightarrow\frac{1}{2}\cdot x=\frac{5}{12}\) hoặc \(\frac{1}{2}\cdot x=\frac{13}{12}\)

\(\Rightarrow x=\frac{5}{6}\) hoặc \(x=\frac{13}{6}\)