Question

tìm x

/x/ - x = 2/3

Answer 1

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

\(\left|x\right|=\frac{2}{3}+x\)

\(x=\pm\left(\frac{2}{3}+x\right)\)

TH1:

\(x=\frac{2}{3}+x\)

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

\(0=\frac{2}{3}\)

=> loại

TH2:

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

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

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

\(x=-\frac{2}{3}\div2\)

\(x=-\frac{2}{3}\times\frac{1}{2}\)

\(x=-\frac{1}{3}\)

Vậy \(x=-\frac{1}{3}\)

Answer 2

TH1:x<0

Ta có:|x|-x=\(\frac{2}{3}\)

          x-(-x)=\(\frac{2}{3}\)

          x+x=\(\frac{2}{3}\)

          2x=\(\frac{2}{3}\)

          x=\(\frac{1}{3}\)

Vậy x=\(\frac{1}{3}\)

TH2:x lớn hơn 0

Ta có|x|-x=\(\frac{2}{3}\)

         x-x=2/3

Suy ra x=\(\frac{2}{3}\) hoặc -\(\frac{2}{3}\)