\(\Leftrightarrow\left(x-5\right)^{x+1}\left[1-\left(x-5\right)^{12}\right]=0\)
=>(x-5)(1-x+5)(1+x-5)=0
=>(x-5)(6-x)(-4+x)=0
hay \(x\in\left\{5;6;4\right\}\)
\(\Leftrightarrow\left(x-5\right)^{x+1}\left[1-\left(x-5\right)^{12}\right]=0\)
=>(x-5)(1-x+5)(1+x-5)=0
=>(x-5)(6-x)(-4+x)=0
hay \(x\in\left\{5;6;4\right\}\)
\(\text{Tìm x, biết:}\)
\(a\)) \(\left(19x+2.5^2\right):14=\left(13-8\right)^2-4^2\)
\(b\)) \(x+\left(x+1\right)+\left(x+2\right)+...+\left(x+30\right)=1240\)
\(c\)) \(11-\left(-53+x\right)=97\)
\(d\)) \(-\left(x+84\right)+213=-16\)
Bài 1 Tìm x ,y biết
a, 2| 2x -3 | =1
b,7,5 -3 | 5 -2x | = -4,5
c, | 3x-4 | + | 3y +5 |=0
Bài 2 Tìm x biết
a, \(\left|\frac{5}{3}x\right|\) =\(\left|-\frac{1}{6}\right|\)
b, \(\left|\frac{3}{4}x-\frac{3}{4}\right|-\frac{3}{4}=\left|-\frac{3}{4}\right|\)
c, \(\left|x+\frac{3}{5}\right|-\left|x-\frac{7}{3}\right|=0\)
Bài 3 Tìm x biết
a,| x |+| x+2 |=0
b,\(\left|x\left(x^2-\frac{5}{4}\right)\right|=x\)
\(Tìm\) \(x\)∈\(Z\)\(,\) \(biết\)\(:\)
\(a\)) \(\left(x-20\right)+\left(x-19\right)+\left(x-18\right)+...+99+100=100\)
\(b\)) \(213-x.\left(\dfrac{1}{2}+\dfrac{1}{2^2}+\dfrac{1}{2^3}+...+\dfrac{1}{2^{2020}}\right):\left(1-\dfrac{1}{2^{2020}}\right)=13\)
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
\(Tìm\) \(cặp\) \(số\) \(x,y\) \(thỏa\) \(mãn\) \(x,y\) \(\in\) Z \(và\) \(:\)
\(a)\left(x+5\right)\left(y-3\right)=0\)
\(b)\left(x-7\right)\left(2+y\right)=13\)
\(c)\left(-x+5\right)\left(2y+1\right)=15\)
\(d)\left(2y-1\right)\left(x+3\right)=-10\)
Tìm x :
a) \(1+3+5+7+...+\left(2x-1\right)=750\)
b) \(1+5+9+13+17+...+x=501501\)
Bài 2 : Tìm x, biết :
1) \(x-\left|1\frac{1}{6}\right|=\frac{5}{21}\)
2) \(x+\left|-1\frac{2}{3}\right|=\left|-\frac{3}{4}\right|\)
3) \(\left|x-\frac{1}{3}\right|=\frac{5}{2}\)
4) \(\left|x+\frac{2}{3}\right|=0\)
5) \(\left|x+2\right|=\frac{1}{3}-\frac{1}{5}\)
6) \(\left|x-4\right|=\frac{1}{5}-\left(\frac{1}{2}-\frac{5}{4}\right)\)
7) \(\left|x-\frac{5}{4}\right|=-\frac{1}{3}\)
Bài 1:
1. Tính: \(E=1+\frac{1}{2}\left(1+2\right)+\frac{1}{3}\left(1+2+3\right)+\frac{1}{4}\left(1+2+3+4\right)+...+\frac{1}{200}\left(1+2+...+200\right)\)
2. Tìm và tính tổng các số nguyên x thỏa mãn: \(\frac{21}{5}\left|x\right|< 2019\)
3. Tìm x, biết: \(\frac{2^{24}\left(x-3\right)}{\left(3\frac{5}{7}-1,4\right)\left(6\cdot2^{24}-4^{13}\right)}=\left(\frac{5}{3}\right)^2\)
Bài 1, Tìm x biết
a, \(\left|\frac{5}{3}x\right|=-\frac{1}{6}\)
b, \(\left|\frac{3}{4}x-\frac{3}{4}\right|-\frac{3}{4}=-\frac{3}{4}\)
c, \(\left|x+\frac{3}{5}\right|-\left|x-\frac{7}{3}\right|=0\)