1Tính \(\left(\frac{-7}{11}\right)^{38}\)* \(\left(\frac{-11}{7}\right)^{39}\)
2 Tìm x biết
b)\(\frac{x+1}{8}=\frac{8}{x+1}\) c) \(\left(1,78^2^{\cdot x-2}-1,78^x\right)\div1,78^x=0\) d) \(|2x+1|+|x|=x\)
3) Chứng minh rằng
a) \(27^8-3^{21}\)chia hết cho 26 b) \(5^{19}+5^{18}+5^{17}\)chia hết cho 31
c) \(81^7-27^9-9^{13}\)chia hết cho 45 d)\(8^{12}-2^{^{33}}-2^{30}\)chia hết cho 55
Bài 1 : Tìm x biết :
a, \(\left|\frac{3}{2}x+\frac{1}{2}\right|=\left|4x-1\right|\)
b, \(\left|\frac{5}{4}x-\frac{7}{2}\right|-\left|\frac{5}{8}x+\frac{3}{5}\right|=0\)
c,\(\left|\frac{7}{5}x+\frac{2}{3}\right|=\left|\frac{4}{3}x-\frac{1}{4}\right|\)
Bài 2 : Tìm x biết :
a, | 2x - 5 | = x +1
b, | 3x - 2 | -1 = x
c, | 3x - 7 | = 2x + 1
d, | 2x-1 | +1 = x
Tìm x và y biết:
d)\(-1\frac{2}{3}-\left(\left|2x\right|+\frac{5}{6}\right)=\)\(-2\)e)\(\left(-\frac{1}{2}+\frac{1}{3}\right):\left|1-2x\right|-1\frac{1}{4}:\left(-\frac{5}{8}\right).\left(-\frac{1}{2}\right)^2=\frac{1}{3}\)
c)\(\left|2x-1\right|+\left|2y+1\right|+\left|2x-y\right|=0\)b)\(\left|2x-1\right|=2x-1\)
a)\(\left|x-3\right|=x+4\)
1. Tìm x ϵ Q sao cho:
a) (2x-3). (x+1) < 0.
b) \(\left(x-\frac{1}{2}\right).\left(x+3\right)>0\)
2.Tính:
S=\(\frac{1}{3.5}+\frac{1}{5.7}+...+\frac{1}{999.1001}\)
3.Tìm x: Biết x không thuộc{-2; -5; -10; -17}
\(\frac{3}{\left(x+2\right).\left(x+5\right)}+\frac{5}{\left(x+5\right).\left(x+10\right)}+\frac{7}{\left(x+10\right).\left(x+17\right)}=\frac{x}{\left(x+2\right).\left(x+17\right)}\)
a,\(\left(x-1\right)\cdot\left(x+2\right)>0\)
b,\(\left(\frac{1}{2}-x\right)\cdot\left(2x-1\right)< 0\)
c,\(\frac{x-1}{2007}+\frac{x-2}{2008}=\frac{x-3}{2009}+\frac{x-4}{2010}\)
d,\(\left(2x-1\right)\cdot\left(2-x\right)>0\)
Tìm x
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Tìm x biết:
a) \(\left(x+\frac{1}{2}\right).\left(x-\frac{3}{4}\right)=0\)
b) \(\left(\frac{1}{2}.x-3\right).\left(\frac{2}{3}x+\frac{1}{2}\right)=0\)
c) \(\frac{2}{3}-\frac{1}{3}.\left(x-\frac{3}{2}\right)-\frac{1}{2}\left(2x+1\right)=5\)
d) \(4x-\left(x+\frac{1}{2}\right)=2x-\left(\frac{1}{2}-5\right)\)
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Tìm x:
a.\(\frac{1}{3}\times\left(x-1\right)+\frac{2}{5}\times\left(x+1\right)=0\)
b.\(4x-\left(x+\frac{1}{2}\right)=2x-\left(\frac{1}{2}x-5\right)\)
c.\(\left(x+\frac{1}{2}\right)\times\left(x-\frac{3}{4}\right)=0\)
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a)\(\left(\frac{5}{7}x-\frac{1}{4}\right)\left(\frac{-3}{4}x+\frac{1}{2}\right)=0\)
b)\(\left(\frac{4}{5}+x\right).\left(x-\frac{8}{13}\right)=0\)
c)\(\left(2x-\frac{1}{2}\right).\left(x-3\right)=0\)
d)\(x+3\frac{1}{2}x+x=\frac{1}{2}\)
tìm x y z
a , | x - 1 | + |3 - x | = 2x - 1
b , \(\left|x^2+x+1\right|=x^2+2\)2
c , \(\left(x+1\right)^{30}+\left|y+2\right|+\left|x^2+z\right|=0\)
d , \(\left(\frac{1}{2}+\frac{1}{3}+.....+\frac{1}{2014}\right).x=\frac{2013}{1}+\frac{2012}{2}+.....+\frac{1}{2013}\)
e , \(\left|\left(x+2\right).\left(x^2-15\right)\right|=x+2\)
