Question

\(2-\left|\frac{3}{4}-x\right|=\frac{7}{12}\)

Answer 1

\(2-\left|\frac{3}{4}-x\right|=\frac{7}{12}\)

=>\(\left|\frac{3}{4}-x\right|=2-\frac{7}{12}=\frac{17}{12}\)

=>3/4-x=17/2 hoặc 3/4-x=-17/12

=>x=3/4-17/12 hoặc x=3/4-(-17/12)

=>x=-2/3 hoặc x=13/6

Answer 2

\(\left|\frac{3}{4}-x\right|=2-\frac{7}{12}\)

\(\left|\frac{3}{4}-x\right|=\frac{17}{12}\)

=>\(\frac{3}{4}-x=\pm\frac{17}{12}\)

Th1:\(\frac{3}{4}-x=\frac{17}{12}\)

=>x=\(\frac{3}{4}-\frac{17}{12}\)

=>x=\(-\frac{2}{3}\)

Th2:\(\frac{3}{4}-x=-\frac{17}{12}\)

=>x=\(\frac{3}{4}-\frac{-17}{12}\)

=>x=\(\frac{13}{6}\)

Answer 3

giá trị tuyệt đối của 3/4 - x = 2 - 7/12

=> GTTĐ của 3/4 - x = 17/12

=> 3/4 - x = 17/12 => x = 3/4 - 17/12 = -2/3

hoặc 3/4 - x = -17/12 => x = 3/4 - -17/12 = 13/6

vậy x = -2/3 ; 13/6