Question

Tìm x, biết:

a) \(\left|x-1,7\right|=2,3\)

b)\(\left|x+\frac{3}{4}\right|-\frac{1}{3}=0\)

Answer 1

Ix-1,7I = 2,3

TH1: x - 1,7 = 2,3

=>    x          = 2,3 + 1,7

=>    x          = 4

TH2 : x - 1,7 = -2,3

=> x              = -2,3 + 1,7

=> x             = -0,6

b) Ix + 3/4I - 1/3 = 0

=> Ix + 3/4I = 0 + 1/3

=> x + 3/4 = 1/3

=> x          = 1/3 - 3/4

=> x          = -5/12

Answer 2

a.

\(\left|x-1,7\right|=2,3\)

\(x-1,7=\pm2,3\)

TH1:

\(x-1,7=2,3\)

\(x=2,3+1,7\)

\(x=4\)

TH2:

\(x-1,7=-2,3\)

\(x=-2,3+1,7\)

\(x=-0,6\)

Vậy x = 4 hoặc x = -0,6

b.

\(\left|x+\frac{3}{4}\right|-\frac{1}{3}=0\)

\(\left|x+\frac{3}{4}\right|=\frac{1}{3}\)

\(x+\frac{3}{4}=\pm\frac{1}{3}\)

TH1:

\(x+\frac{3}{4}=\frac{1}{3}\)

\(x=\frac{1}{3}-\frac{3}{4}\)

\(x=\frac{4-9}{12}\)

\(x=-\frac{5}{12}\)

TH2:

\(x+\frac{3}{4}=-\frac{1}{3}\)

\(x=-\frac{1}{3}-\frac{3}{4}\)

\(x=\frac{-4-9}{12}\)

\(x=-\frac{13}{12}\)

Vậy x = -5/12 hoặc x = -13/12.