a) 2x - \(\frac{2}{3}\)= \(\frac{1}{3}\)
2x = \(\frac{1}{3}+\frac{2}{3}\)
2x = 1
x = 1 : 2 = \(\frac{1}{2}\)
b, I x - 1009 I = 1008
Xét x \(\ge\)1009 , ta có : x - 1009 \(\ge\)0 => I x - 1009 I = x - 1009
=> x - 1009 = 1008
x = 1008 + 1009
x = 2017 ( nhận )
Xét x < 2019 => x - 1009 < 0 => I x - 1009 I = - ( x - 1009 )
=> - ( x - 1009 ) = 1008
- x + 1009 = 1008
-x = 1008 - 1009
-x = -1 => x = 1 ( nhận )
Vậy x = 2017 hoặc x = 1
( Lâu rồi mình không lên OLM , k ủng hộ nha >< )
\(2x=\frac{1}{3}+\frac{2}{3}\)
\(2x=\frac{3}{3}=1\)
\(x=1:2\)
\(x=2\)
\(x-1009=1008\)HOẶC \(x-1009=-1008\)
\(x=1008+1009\)HOẶC \(x=-1008+1009\)
\(x=2017\) HOẶC \(x=1\)
a) 2x - \(\frac{2}{3}\) = \(\frac{1}{3}\)
2x = \(\frac{1}{3}+\frac{2}{3}\)
2x = 1 => x = \(\frac{1}{2}\)
b) Xét x \(\ge\)1009 => x - 1009 \(\ge\)0 => I x - 1009 I = x - 1009
=> x - 1009 = 1008
x = 1008 + 1009
x = 2017
Xét x < 1009 => x - 1009 < 0 => I x - 1009 I = - ( x - 1009 )
- ( x - 1009 ) = 1008
-x + 1009 = 1008
-x = 1008 - 1009 = -1
=> x = 1