\(\left(\dfrac{1}{2}x-\dfrac{1}{3}\right)^2\)= \(\dfrac{25}{49}\)
\(\left(\dfrac{1}{2}x-\dfrac{1}{3}\right)^2\)= \(\left(\dfrac{5}{7}\right)^2\)
=> \(\dfrac{1}{2}x-\dfrac{1}{3}=\dfrac{5}{7}\);\(-\dfrac{5}{7}\)
Trường hợp 1:
\(\dfrac{1}{2}x-\dfrac{1}{3}=\dfrac{5}{7}\)
\(\dfrac{1}{2}x=\dfrac{5}{7}+\dfrac{1}{3}\)
\(\dfrac{1}{2}x=\dfrac{22}{21}\)
\(x=\dfrac{22}{21}\div\dfrac{1}{2}\)
\(x=\dfrac{44}{21}\)
Trường hợp 2:
\(\dfrac{1}{2}x-\dfrac{1}{3}=-\dfrac{5}{7}\)
\(\dfrac{1}{2}x=-\dfrac{5}{7}+\dfrac{1}{3}\)
\(\dfrac{1}{2}x=-\dfrac{8}{21}\)
\(x=-\dfrac{8}{21}\div\dfrac{1}{2}\)
\(x=-\dfrac{16}{21}\)
Vậy x thuộc {\(\dfrac{44}{21};-\dfrac{16}{21}\)}
Chúc Các Bạn Học Tốt
(1/2x-1/3)^2=25/49
ta có : (5/7)^2=25/49
\(\Rightarrow\)1/2x-1/3=5/7
1/2x=5/7+1/3
1/2x=22/21
x=22/12:1/2
x=44/21
vậy x=44/21
