\(Tìm\) \(x\)∈\(Z\)\(,\) \(biết\)\(:\)
\(a\)) \(\left(x-20\right)+\left(x-19\right)+\left(x-18\right)+...+99+100=100\)
\(b\)) \(213-x.\left(\dfrac{1}{2}+\dfrac{1}{2^2}+\dfrac{1}{2^3}+...+\dfrac{1}{2^{2020}}\right):\left(1-\dfrac{1}{2^{2020}}\right)=13\)
các bạn có thể giải hộ mình bài này ko?
Tìm x,biết:
\(\frac{2}{\left(x+2\right)\left(x+4\right)}+\frac{4}{\left(x+4\right)\left(x+6\right)}+\frac{6}{\left(x+8\right)\left(x+14\right)}=\frac{x}{\left(x+2\right)\left(x+14\right)}\)
Tìm x :
a) \(\left|x+\dfrac{11}{17}\right|+\left|x+\dfrac{2}{17}\right|+\left|x+\dfrac{4}{17}\right|=4x\)
b) \(\left|x+\dfrac{1}{2}\right|+\left|x+\dfrac{1}{6}\right|+\left|x+\dfrac{1}{12}\right|+\left|x+\dfrac{1}{20}\right|+..+\left|x+\dfrac{1}{110}\right|=11x\)
Tìm x,y biết \(\left|x-11\right|+\left|x-8\right|^{1981}+\left|x+1\right|=\frac{48}{\left|y-2\right|+\left|y+1\right|+\left|x+2\right|}\)
Tìm x thuộc Z, biết:
a. 1 + \(\left\{-2-[-3+\left(-4+\left|x\right|\right)]\right\}=1-2+[\left(-3-4\right)]\)
b. 34 + (9 - 21) = 3417 - (x + 3417)
c. x - \(\left\{55-[49+\left(-28-x\right)]\right\}=13-\left\{47+[25-\left(32-x\right)]\right\}\)
d. (15 - x) + (x - 12) = 7 - (-8 + x)
e. - 7 + \(\left|x-4\right|\) = - 3
f. 13 - \(|\)x + 5\(|\) = 13
g. \(|\)x + 1\(|\) > 2
h. \(|\)x + 2\(|\) ≤ 5
i. \(|\)x - 10\(|\) - (-12) = 4
\(\text{Thực hiện các phép tính sau một cách hợp lý:}\)
\(a\)) \(\left(10^2+11^2+12^2\right):\left(13^2+14^2\right)\)
\(b\)) \(1.2.3...9-1.2.3...8-1.2.3...7.8^2\)
\(c\)) \(\dfrac{\left(3.4.2^{16}\right)^2}{11.2^{13}.4^{11}-16^9}\)
\(d\)) \(1152-\left(374+1152\right)+\left(-65+374\right)\)
\(e\)) \(13-12+11+10-9+8-7-6+5-4+3+2-1\)
\(\left(19X+2.5^2\right):14=\left(13-8\right)^2-4^2\)
Bài 1: Tìm x
a) \(\left(\frac{1}{8}\right)^x.27^{2.x}=\left(-9\right)^4\)
b) \(5^x\left(5^3\right)^2=625\)
c)\(\left(4x-1\right)^{30}=\left(4x-1\right)^{20}\)
Tìm giá trị nhỏ nhất :
\(D=\left|x-\dfrac{1}{2}\right|+\left|x-\dfrac{1}{3}\right|+\left|x-\dfrac{1}{4}\right|+...+\left|x-\dfrac{1}{2022}\right|\)