Question

Giải các phương trình sau

a/ \(\left|x-1\right|\) + \(\left|2x+1\right|\) = \(\left|3x\right|\)

b/ \(\left|x-1\right|+\left|x+2\right|+\left|x-3\right|=14\)

c/ \(\left|x-1\right|-\left|x\right|+\left|2x+3\right|=2x+4\)

d/ \(\left|2x-3\right|\) = \(\dfrac{1}{x}\)

Answer 1

a/ Th1: Nếu x<\(\dfrac{-1}{2}\) ta có

1-x-2x-1=-3x

<=> 0=0

Th2: Nếu \(\dfrac{-1}{2}\)\(\le\)x<0 ta có

1-x+2x+1=-3x

<=> x=\(\dfrac{-1}{2}\)(t/m)

Th3 Nếu 0\(\le\)x<1 ta có

1-x+2x+1=3x

<=> x=1(kt/m)

Th4: Nếu x\(\ge\)1 ta có

x-1+2x+1=3x

<=> 0=0

Vậy..................