Question

|3x - 1| - 1/2 = 0,75

Answer 1

\(\left|3x-1\right|-\dfrac{1}{2}=0,75=\dfrac{3}{4}\)

\(\left|3x-1\right|=\dfrac{3}{4}+\dfrac{1}{2}=\dfrac{5}{4}\)

⇔ \(\left[{}\begin{matrix}3x-1=\dfrac{5}{4}\\3x-1=-\dfrac{5}{4}\end{matrix}\right.\)

⇔ \(\left[{}\begin{matrix}3x=\dfrac{9}{4}\\3x=-\dfrac{1}{4}\end{matrix}\right.\)

⇔ \(\left[{}\begin{matrix}x=\dfrac{3}{4}\\x=-\dfrac{1}{12}\end{matrix}\right.\)

Answer 2

|3x-1| -1/2= 0,75

=>|3x-1|= 0,75 -1/2

=>|3x-1|= -1/2

=> 3x-1= -1/2 hoặc 3x-1= 1/2

=> 3x= 1/2 hoặc 3x= 3/2

=>x=1/6 hoặc x=1/2

Answer 3

/3x-1/=0,75+1/2

/3x-1/=1,25

/3x/=1,25+1

 /3x/=2,25

cách 1 3x=2,25

x=2,25:3

x=0,75

cách 2 3x=-2,25

x=-2,25 :3

x=-0,75

x∈{0,75;-0,75}