Bài 1) Tìm x biết
a) |x-\(\frac{1}{3}\)| < \(\frac{5}{3}\)
b) |x+\(\frac{11}{2}\)| > 5
Bài 2) Tìm x biết
a) (x-2)2 =1
b) (2x-1)3 = -27
c) \(\frac{16}{2^x}\) = 1
d) ( x+\(\frac{1}{2}\) )2 = \(\frac{4}{25}\)
e) ( x-1)x+2 = (x-1)x+6 ( x thuộc Z )
f) \(\sqrt{x}\) = 4
g) \(\sqrt{x+1}\) = 5
i) ( x-2 )2 + ( y-3 )2 =0
Làm nhanh giúp mình nha mình đang cần gấp
Bài 1 :
a. \(\left|x-\frac{1}{3}\right|< \frac{5}{2}\)
TH1 : nếu \(\left|x-\frac{1}{3}\right|>0\)
\(x-\frac{1}{3}< \frac{5}{3}\)
\(x< 2\)
TH2 : nếu \(\left|x-\frac{1}{3}\right|< 0\)
\(\frac{1}{3}-x< \frac{5}{3}\)
\(x>-\frac{4}{3}\)
Bài 2 :
a. \(\left(x-2\right)^2=1\)
\(\left(x-2\right)^2-1=0\)
\(\left(x-2-1\right)\left(x-2+1\right)=0\)
\(\left(x-3\right)\left(x-1\right)=0\)
\(\left[\begin{array}{nghiempt}x-3=0\\x-1=0\end{array}\right.\)
\(\left[\begin{array}{nghiempt}x=3\\x=1\end{array}\right.\)
c.\(\frac{16}{2^x}=1\)
\(16=2^x\)
x=4
d. \(\left(x+\frac{1}{2}\right)^2=\frac{4}{25}\)
\(x+\frac{1}{2}=\frac{2}{5}\)
\(x=-\frac{1}{10}\)