Question

 Tìm x biết : |5(2x+3)| + |2(2x+3)| + |2x+3| = 16

Answer 1

|5(2x+3)| + |2(2x+3)| + |2x+3| = 16

|5| * |2x+3| + |2| * |2x+3| + |2x+3| = 16

8* |2x+3| = 16 

|2x+3|= 2

\(\Rightarrow\orbr{\begin{cases}2x+3=2\\2x+3=-2\end{cases}\Rightarrow\orbr{\begin{cases}x=-\frac{1}{2}\\x=-\frac{5}{2}\end{cases}}}\)

vậy x= -1/2 hoặc x= -5/2 

Answer 2

Vì |5(2x+3)|, |2(2x+3)| và |2x+3| luôn luôn là số tự nhiên

=> 5(2x+3)+2(2x+3)+2x+3 = 16

<=> (2x+3).(5+2+1) = 16

<=> 2x+3 = 16:8 = 2 

<=> 2x = 2-3 = -1

<=> x = -1:2 = -1/2

Answer 3

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