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\(xxx+xx+x+x=992\)
\(111x+11x+x+x=992\)
\(x\times\left(111+11+1+1\right)=992\)
\(x\times124=992\)
\(x=992\div124\)
\(x=8\)
Ta có: 1/1x2 + 1/2x3 + 1/3x4 +...+ 1/X x (X + 1) = 499/500
=> 1 - 1/2 + 1/2 - 1/3 + 1/3 - 1/4 +...+ 1/X - 1/(X + 1) = 499/500
=> 1 - 1/(X + 1) = 499/500
=> 1/(X + 1) = 1 - 499/500
=> 1/(X + 1) = 1/500
=> X + 1 = 500
=> X = 500 - 1
=> X = 499
Đáp số: X = 499
a, \(\overline{xx}+x+5=125\)
\(x\times11+x=120\)
\(x\left(1+11\right)=120\)
\(x=120\div12\)
\(x=10\)
Vậy x = 10
\(\overline{xxx}+\overline{xx}+x+x=992\)
\(x\times111+x\times11+x\times2=992\)
\(x\left(111+11+2\right)=992\)
\(x=992\div124\)
\(x=8\)
Vậy x = 8
\(4725+\overline{xxx}+\overline{xx}+x=54909\)
\(x\times111+x\times11+x=50184\)
\(x\left(111+11+1\right)=50184\)
\(x\times123=50184\)
\(x=408\)
Vậy x = 408
b, \(\overline{xxx}-\overline{xx}-x-25=4430\)
\(x\times111-x\times11-x=4455\)
\(x\left(111-11-1\right)=4455\)
\(x=4455\div99\)
\(x=45\)
Vậy x = 45
\(\overline{xxx}+\overline{xx}+x+x+x+1=1001\)
\(x\times111+x\times11+x\times3=1000\)
\(x\left(111+11+3\right)=1000\)
\(x=1000\div125\)
\(x=8\)
Vậy x = 8
\(35655-\overline{xxx}-\overline{xx}-x=5274\)
\(x\times111+x\times11+x=30381\)
\(x\left(111+11+1\right)=30381\)
\(x=30381\div123\)\
\(x=247\)
Vậy \(x=247\)
b) XXX + XX + X + X = 992
X x 111 + X x 11 + X x 2 = 992
X x (111 + 11 + 2) = 992
X x 124 = 992
X = 992 : 124 = 8
x.8,26 = 42,6 + 60
\(\Rightarrow\) x8,26 = 102,6
\(\Rightarrow\)x = 102,6 : 8,26
\(\Rightarrow\)x = 12,42130751
vậy x = 12,42130751
X x 8,26 = 42,6 + 60
X x 8,26 = 102,6
X = 102,6 : 8,26
X = 12,4213...