Question

Tìm y :

\(\left|y=\frac{1}{3}\right|-\sqrt{\frac{1}{16}}=\sqrt{\frac{1}{9}}\)

Answer 1

Dấu = là sau y là sai rồi bạn

Answer 2

Ta có: \(\left|y-\frac{1}{3}\right|-\sqrt{\frac{1}{16}}=\sqrt{\frac{1}{9}}\)

\(\Leftrightarrow\left|y-\frac{1}{3}\right|-\frac{1}{4}=\frac{1}{3}\)

\(\Leftrightarrow\left|y-\frac{1}{3}\right|=\frac{1}{3}+\frac{1}{4}\)

\(\Leftrightarrow\left|y-\frac{1}{3}\right|=\frac{7}{12}\)

\(\Leftrightarrow\left[{}\begin{matrix}y-\frac{1}{3}=\frac{7}{12}\\y-\frac{1}{3}=\frac{-7}{12}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}y=\frac{11}{12}\\y=-\frac{1}{4}\end{matrix}\right.\)

Vậy: \(y\in\left\{\frac{11}{12};\frac{-1}{4}\right\}\)