Question

(x-1)²=4/9

 

Answer 1

\(\left(x-1\right)^2=\dfrac{4}{9}\)

\(\Rightarrow\left[{}\begin{matrix}x-1=\dfrac{2}{3}\\x-1=-\dfrac{2}{3}\end{matrix}\right.\)\(\Rightarrow\left[{}\begin{matrix}x=\dfrac{5}{3}\\x=\dfrac{1}{3}\end{matrix}\right.\)

Answer 2

\(\left(x-1\right)^2=\dfrac{4}{9}\)

\(\Rightarrow x-1=\dfrac{2}{3}\)

\(\Rightarrow x=\dfrac{5}{3}\)

Answer 3

(x-1)^2=4/9

(x-1)^2=(2/3)^2

x-1=2/3

x=2/3-1

x=-1/3