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Ta có :
108 = 22.33
180 = 22.32.5
=> ƯCLN ( 108;180) = 22.32= 36
=>ƯC ( 108;180) = Ư(36) = { 1;2;3;4;6;9;12;18;36 }
=> ƯC ( 108;180) > 15 là : 18;36
Vậy ...................
Đặt \(A=\frac{1}{2}+\frac{1}{2^2}+\frac{1}{2^3}+...+\frac{1}{2^{100}}\)
\(\Rightarrow2A=1+\frac{1}{2}+\frac{1}{2^2}+...+\frac{1}{2^{99}}\)
\(2A-A=\left(1+\frac{1}{2}+\frac{1}{2^2}+...+\frac{1}{2^{99}}\right)-\left(\frac{1}{2}+\frac{1}{2^2}+...+\frac{1}{2^{99}}+\frac{1}{2^{100}}\right)\)
\(A=1-\frac{1}{2^{100}}\)
\(A=\frac{2^{100}-1}{2^{100}}\)
Tham khảo nhé~
\(A=\frac{1}{2}+\frac{1}{2^2}+\frac{1}{2^3}+....+\frac{1}{2^{100}}\)
\(\Rightarrow\)\(2A=1+\frac{1}{2}+\frac{1}{2^2}+...+\frac{1}{2^{99}}\)
\(\Rightarrow\)\(2A-A=\left(1+\frac{1}{2}+\frac{1}{2^2}+...+\frac{1}{2^{99}}\right)-\left(\frac{1}{2}+\frac{1}{2^2}+\frac{1}{2^3}+...+\frac{1}{2^{100}}\right)\)
\(\Rightarrow\)\(A=1-\frac{1}{2^{100}}\)
35 - 3(x) = 5. (23-4)
35 - 3x = 5.(8-4)
35 - 3x = 5.4
35 - 3x = 20
3x = 35-20
3x = 15
x = 15 : 3
x = 5
35 - 3(x) = 5 (23 -4)
35 - 3x = 5.(8 - 4 )
35 - 3x = 5.4
35 - 3x = 20
3x = 35 - 20
3x = 15
x = 15 : 3
x = 3
Vậy x = 3
a) Nếu \(\frac{1}{2}x\ge0\Rightarrow x\ge0\) thì \(\left|\frac{1}{2}x\right|=3-2x\Rightarrow\frac{1}{2}x=3-2x\Rightarrow\frac{5}{2}x=3\Rightarrow x=\frac{6}{5}\) (nhận)
Nếu \(\frac{1}{2}x< 0\Rightarrow x< 0\) thì \(\left|\frac{1}{2}x\right|=3-2x\Rightarrow-\frac{1}{2}x=3-2x\Rightarrow\frac{3}{2}x=3\Rightarrow x=2\) (loại)
Vậy x = 6/5
b) Nếu \(x-1\ge0\Rightarrow x\ge1\) thì \(\left|x-1\right|=3x+2\Rightarrow x-1=3x+2\Rightarrow-2x=3\Rightarrow x=\frac{-2}{3}\) (loại)
Nếu \(x-1< 0\Rightarrow x< 1\) thì \(\left|x-1\right|=3x+2\Rightarrow-\left(x-1\right)=3x+2\Rightarrow-x+1=3x+2\Rightarrow-4x=1\Rightarrow x=\frac{-1}{4}\) (nhận)
Vậy x = -1/4
ta có:
\(\left(7\frac{1}{2}.8\frac{3}{70}+8\frac{3}{70}.\frac{9}{4}+\frac{19}{4}.8\frac{3}{70}+5\frac{1}{2}.8\frac{3}{70}\right):x=1126\)
\(8\frac{3}{70}\left(7\frac{1}{2}+\frac{9}{4}+\frac{19}{4}+5\frac{1}{2}\right):x=1126\)
\(\frac{563}{70}.\left(\frac{15}{2}+7+\frac{11}{2}\right):x=1126\)
\(\frac{563}{70}.20:x=1126\)
\(\frac{1126}{70}:x=1126\)
\(=>x=\frac{1126}{7}:1126\)
\(=>x=\frac{1}{7}\)
cho mình nha các bạn.
1890 : [ 63 - (3x + 15)] = 21.5
\(\Rightarrow\)1890: (63-3x-15) = 105
\(\Rightarrow\)48- 3x = 18
\(\Rightarrow\)3x= 30
\(\Rightarrow\)x = 10
vậy x= 10
dream?