Question

|2x-3|=|x-6|

Answer 1

|2x-3|=|x-6|

Ta chia thành hai trường hợp:

2x-3=x-6 <=> 2x-x=-6+3 <=> x=-3

2x-3=-(x-6) <=> 2x-3=-x+6 <=> 2x+x=6+3 <=> 3x=9 <=> x=3

=> S={-3;3}

Answer 2

\(\left|2x-3\right|=\left|x-6\right|\)

TH1 : 2x - 3 = x - 6

<=> x = -3

TH2 : 3 - 2x = x - 6

<=> x = 3

Vậy x \(\in\) { -3 ; 3 }