\(\left(2x-1\right)^2=100\\ \Leftrightarrow\left(2x-1\right)^2=\pm10^2\\ \Rightarrow\left[{}\begin{matrix}2x-1=10\\2x-1=-10\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}2x=11\\2x=-9\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=5,5\\x=-4,5\end{matrix}\right.\)
Vậy \(x=5,5\) hoặc \(x=-4,5\)
5. Tìm x biết:
a, \(\left|x+1\right|+\left|x+2\right|+\left|x+3\right|+...+\left|x+10\right|=11x+1\)
b, \(\left|x+\frac{1}{101}\right|+\left|x+\frac{2}{101}\right|+...+\left|x+\frac{100}{101}\right|=101x\)
\(5^{\left(x-2\right).\left(x+3\right)}=1\)
\(-\left(x-y\right)^2=\left(y-3\right)^2\)
\(7^{\left(2x-1\right).\left(3x-1\right)}=1\)
Tìm x biết
1) \(\left(x-1\right)^4=16\left(x-1\right)^2\)
2) \(\left|2x+1\right|+\left|x+8\right|=x\)
1) \(\left|3x+2\right|=\left|x+1\right|\)
2) \(\left|\left(x+2\right)\times x\right|=\left|x+2\right|\)
3) \(\left|2x+3\right|=x+1\)
4) \(\left|4x+5\right|+3.x=7\)
Tim x
\(\left|x+1\right|+x=2\)
4, tìm x biết;
a, \(\left|x-1\right|+\left|x-3\right|=4\)
b. \(\left|2x-1\right|+\left|x+2\right|=3\)
Tìm x, biết:
a) \(\left(x-\frac{-7}{8}\right)+2,3=3,24\) ; b) \(x.\left(4,6+\frac{3}{5}\right)=7,2-8,15\) ; c) |2x-3|+3=16 ; d) \(42+\frac{3}{7}.\left|3x-1\right|=12\)
e) \(\left(x-\frac{1}{2}\right).\left(1+5x\right)=0\) ; f) |2x-1|=|x+2| ; g) \(2.3^x.3^2=18\left(x\in N\right)\) ; h) \(\frac{x+2}{5}=\frac{2-3x}{3}\)
bài 2:tìm x giá trị biểu thức
a)2-\(|^{ }_{ }\)3x-\(\frac{1}{4}|\)=\(\left|-\frac{5}{4}\right|\) f)-2,5:\(\left|\frac{3}{4}x+\frac{1}{2}\right|=3\)
b)5-3.\(\left|5-2x\right|\)=-4,5 g)\(\left|2x-5\right|=\left|x=1\right|\)
c)\(\frac{3}{2}+\frac{3}{4}.\left|x-\frac{3}{4}\right|=\frac{7}{4}\)
d)\(\frac{11}{4}+\frac{3}{2}\left|4x-\frac{1}{5}\right|=\frac{7}{2}\)
e)\(\frac{21}{5}+3:\left|\frac{x}{4}-\frac{2}{3}\right|=6\) h)\(\left|\right|2x+1|-3|=\left|-5\right|\)
Tính GTBT :
A = 2x2 - 3 . \(\left|x\right|\) + 1 với \(\left|x\right|\) = 2
B = 2 . \(\left|x-2\right|\) - 3 . \(\left|1-x\right|\) với x = 4
