Question

Tìm x biết:

\(\left|\dfrac{x}{2}-3\right|-4=-1\dfrac{1}{2}\)

Answer 1

\(|\frac{x}{2}-3|=\frac{11}{2} \)

<=>\(\frac{x}{2}-3=\frac{11}{2} \) hoặc \(\frac{x}{2}-3=\frac{-11}{2} \)

(*)\(\frac{x}{2}=\frac{17}{2}=>x=17 \)

(*)\(\frac{x}{2}=\frac{-5}{2}=>x=-5 \)

Answer 2

\(\left|\dfrac{x}{2}-3\right|-4=-1\dfrac{1}{2}\)

\(\left|\dfrac{x}{2}-3\right|=-1\dfrac{1}{2}+4\)

\(\left|\dfrac{x}{2}-3\right|=\dfrac{5}{2}\)

\(\Rightarrow\dfrac{x}{2}-3=\dfrac{5}{2}\) hoặc \(\dfrac{x}{2}-3=-\dfrac{5}{2}\)

\(\dfrac{x}{2}=\dfrac{5}{2}+3\) hoặc \(\dfrac{x}{2}=-\dfrac{5}{2}+3\)

\(\dfrac{x}{2}=\dfrac{11}{2}\)hoặc \(\dfrac{x}{2}=\dfrac{1}{2}\)

=> x2=11.2 hoặc x=1

=> x2=22 hoặc x=1

=> x=22:2 hoặc x=1

=> x=11 hoặc x=1