Question

[bui ngoc diep]

tim x

a,|2x-5|=13

b,|7x+3|=66

c,|5x-2|< hoc bang13

ban nao tra loi nhanh va dung nhat se dc 3 tick

Answer 1

[Mafia]

a) \(\left|2x-5\right|=13\)

\(\Rightarrow\orbr{\begin{cases}2x-5=13\\2x-5=-13\end{cases}}\Rightarrow\orbr{\begin{cases}2x=18\\2x=-8\end{cases}}\Rightarrow\orbr{\begin{cases}x=9\\x=-4\end{cases}}\)

vậy \(\orbr{\begin{cases}x=9\\x=-4\end{cases}}\)

b) \(\left|7x+3\right|=66\)

\(\Rightarrow\orbr{\begin{cases}7x+3=66\\7x+3=-66\end{cases}}\Rightarrow\orbr{\begin{cases}7x=63\\7x=-63\end{cases}}\Rightarrow\orbr{\begin{cases}x=9\\x=-9\end{cases}}\)

vậy \(\orbr{\begin{cases}x=9\\x=-9\end{cases}}\)

c) \(\left|5x-2\right|\le13\)

\(\Leftrightarrow\hept{\begin{cases}5x-2\le3\\5x-2>0\end{cases}}\Leftrightarrow\hept{\begin{cases}5x\le5\\5x>2\end{cases}}\Leftrightarrow\hept{\begin{cases}x\le1\\x>\frac{2}{5}\end{cases}}\)

vậy \(\frac{2}{5}< x\le1\)

Answer 2

[Nguyễn Anh Quân]

a, => 2x-5=13 hoặc 2x-5=-13

=> x=9 hoặc x=-4

b, => 7x+3=66 hoặc 7x+3=-66

=> x=9 hoặc x=-69/7

c, => -13 < = 5x-2 < = 13

=> -13+2 < = 5x < = 13+2

=> -11 < = 5x < = 15

=> -11/5 < = x < =3

Tk mk nha