Question

(2\(\frac{1}{2}\).x - \(\frac{5}{3}\)) ² = \(\frac{16}{9}\)

Answer 1

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Answer 2

\(\left(2\frac{1}{2}x-\frac{5}{3}\right)^2=\frac{16}{9}\)

\(\Leftrightarrow\left[{}\begin{matrix}2\frac{1}{2}x-\frac{5}{3}=\frac{4}{3}\\2\frac{1}{2}x-\frac{5}{3}=\frac{-4}{3}\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}\frac{5}{2}x-\frac{5}{3}=\frac{4}{3}\\\frac{5}{2}x-\frac{5}{3}=\frac{-4}{3}\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}\frac{5}{2}x=3\\\frac{5}{2}x=\frac{1}{3}\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}x=\frac{6}{5}\\x=\frac{2}{15}\end{matrix}\right.\)