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1 + (-6) + 2 + (-7) + 3 + (-8) + ... + 15 + (-20)
= [ 1 + (-6) ] + [ 2 + (-7) + [ 3 + ( -8) + ... + [ 15 + (-20) ]
= (-5 ) + (-5) + (-5) + ... + (-5)
= (-5) . 14
= -70
\(A=\frac{3}{1\times4}+\frac{3}{4\times7}+\frac{3}{7\times10}+....+\frac{3}{197\times200}\)
\(A=\frac{1}{1\times4}+\frac{1}{4\times7}+\frac{1}{7\times10}+.....+\frac{1}{197\times200}\)
\(A=\frac{1}{1}-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+....\frac{1}{197}-\frac{1}{200}\)
\(A=\frac{1}{1}-\frac{1}{200}\)
\(A=\frac{199}{200}\)
\(N=1+3^2+3^4+...+3^{100}\)
\(\Rightarrow3^2N=3^2+3^4+...+3^{102}\)
\(\Rightarrow3^2N-N=\left(3^2+3^4+...+3^{102}\right)-\left(1+3^2+3^4+...+3^{100}\right)\)
\(\Rightarrow8N=3^{102}-1\)
\(\Rightarrow N=\frac{3^{102}-1}{8}\)
32N=32+34+36+38+...+3100+3102=N+3102
<=> 9N=N+3102
=> 8N=3102
=>\(N=\frac{3^{102}}{8}\)
a) \(5x+3x+6x=280\)
\(\Leftrightarrow14x=280\)
\(\Leftrightarrow x=20\)
b) \(15x-12x+6x=3^5:3^3\)
\(\Leftrightarrow9x=3^2=9\)
\(\Leftrightarrow x=1\)
c) \(12+6\left(3x-23\right)=6^5:6^3\)
\(\Leftrightarrow12+18x-138=6^2=36\)
\(\Leftrightarrow18x=162\)
\(\Leftrightarrow x=9\)
d) \(115-15\left(6x-23\right)=5^5:5^3\)
\(\Leftrightarrow115-90x+345=5^2=25\)
\(\Leftrightarrow90x=435\)
\(\Leftrightarrow x=\frac{29}{6}\)
a)5x+3x+6x=280
14x = 280
x = 280 : 14
x = 20.
b)15x-12x+6x=35÷33
9x = \(3^2\)
9x = 9
x = 9 : 9
x = 1
c)12+6(3x-23)=65÷63
12 + \(\left[18x-138\right]\)= \(6^2\)
12 + \(\left[18x-138\right]\)= 36
\(\left[18x-138\right]\) = 36 - 12
\(\left[18x-138\right]\) = 24
18x = 24 + 138
18x = 162
x = 162 : 18
x = 9.
Câu d cậu xem lại đề nha!
Hok tốt !
Bài giải
Ta có: \(\frac{2}{3x}=\frac{6}{3\left(x+4\right)}\)
\(\Rightarrow\frac{2}{3x}=\frac{6}{3x+3.4}\)
\(\Rightarrow\frac{2}{3x}=\frac{6}{3x+12}\)
\(\Rightarrow\frac{2.3}{3x.3}=\frac{6}{3x+12}\)
\(\Rightarrow3x.3=3x+12\)
\(\Rightarrow3.3x=9x=3x+12\)
\(\Rightarrow9x-\left(3x+12\right)=0\)
\(\Rightarrow9x-3x-12=0\)
\(\Rightarrow\left(9-3\right)x=12\)(vì 9x - 3x - 12 = 0 nên suy ra 9x - 3x = 12
\(\Rightarrow6x=12\)
\(\Rightarrow x=12:6\)
\(\Rightarrow x=2\)
Cố gắng học tốt trong học kì II nha !
12
=12 nha bn