\(|1,\left(23\right)-x|=1,\left(73\right)\)
TH1
1,(23)-x=1,(73)
x=1,(23)-1,(73)
x=-50
TH2
1,(23)-x=-1,(73)
x=1,(23)-[-1(73)]
x=1,(23)+1,(73)
x=96
TH ở đây nghĩa là trường hợp bạn nhé
Học tốt!!
#Minkk!
|1,(23) - x| = 1,(73)
=> |1 + 0,(23) - x| = 1 + 0,(73)
=> |1 + 23 . 0,(01) - x| = 1 + 73 . 0,(01)
=> |1 + 23 . 1/99 - x| = 1 + 73 . 1/99
=> |1 + 23/99 - x| = 1 + 73/99
=> |122/99 - x| = 172/99
=> \(\orbr{\begin{cases}\frac{122}{99}-x=\frac{172}{99}\\\frac{122}{99}-x=-\frac{172}{99}\end{cases}}\)
=> \(\orbr{\begin{cases}x=\frac{-50}{99}\\x=\frac{98}{33}\end{cases}}\)
Vậy ...
Xét 2 TH, ta có:
\(TH1:1,\left(23\right)-x\ge0\)
\(\Rightarrow1,\left(23\right)-x=1,\left(73\right)\)
\(\Rightarrow x=1,\left(23\right)-1,\left(73\right)=-0,\left(50\right)\)
\(TH2:1,\left(23\right)-x< 0\)
\(\Rightarrow1,\left(23\right)-x=-1,\left(73\right)\)
\(\Rightarrow x=1,\left(23\right)-\left[-1,\left(73\right)\right]=1,\left(23\right)+1,\left(73\right)=1,\left(96\right)\)
HOK TOT
