Question

|2x-6|+5x=9

Answer 1

\(\left|2x-6\right|=9-5x\)

=> 9 - 5x  >= 0 => x <= 9/5

\(\Rightarrow\orbr{\begin{cases}2x-6=9-5x\Rightarrow7x=15\Rightarrow x=\frac{15}{7}\left(koTM:x\le\frac{9}{5}\right)\\2x-6=5x-9\Rightarrow3x=3\Rightarrow x=1\left(TM\right)\end{cases}}\)

Vậy PT có nghiệm duy nhất x = 1.

Answer 2

|2x-6|+5x=9=>|2x-6|=9-5x

TH1

2x-6 > hoặc = 0<=>x>hoặc=3

2x-6|=9-5x=>x=17/5 ko thỏa mãn

TH2

2x-6 > 0 <=> x<3

2x-6|=9-5x=>x=1