các bạn giúp mình nốt nhé
(x+1)+(x+2)+(x+3)+....+(x+100)
x=?
nhớ có cả cách giải nhé
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<=> ( x + x + x + .... + x + x ) + ( 1 + 2 + 3 + .... + 49 + 50 ) = 1425
<=> 50x + { [ 50.( 50 + 1 ) ] : 2 } = 1425
=> 50x + 1275 = 1425
=> 50x = 1425 - 1275
=> 50x = 150
=> x = 150 : 50 = 3
=> (x+ x+ x +...+ x) + (1+2+..+ 50) = 1425
=> 50x + 1275=1425
=> 50x = 150
=> x=3
**** mk nha!
ban viet sai de bai roi khong phai1/27 ma la1/21
ta co: 1/21+1/28+1/36+...+2/x(x+1)=2/9
1/21.2+1/28.2+1/36.2+...+2/x(x+1).2=2/9.1/2
1/42+1/56+1/72+...+1/x(x+1)=1/9
1/6.7+1/7.8+1/8.9+...+1/x(x+1)=1/9
1/6-1/7+1/7-1/8+1/8-1/9+...+1/x-1/x+1=1/9
1/6-1/x+1=1/9(khu lien tiep)
1/x+1=1/6-1/9
1/x+1=1/18
=>x+1=18
=>x=17
khu lien tiep là khu liên tiếp đúng ko bạn, tại bạn đánh ko dấu nên mình ko hiểu
\(\frac{1}{5}+\frac{1}{3}\left(x+1\right)=\frac{1}{4}\)
\(\frac{1}{3}\left(x+1\right)=\frac{1}{4}-\frac{1}{5}\)
\(\frac{1}{3}\left(x+1\right)=\frac{1}{20}\)
\(x+1=\frac{1}{20}:\frac{1}{3}\)
\(x+1=\frac{3}{20}\)
\(x=\frac{3}{20}-1\)
\(x=-\frac{17}{20}\)
\(\frac{1}{5}+\frac{1}{3}\left(x+1\right)=\frac{1}{4}\)
\(\frac{1}{3}\left(x+1\right)=\frac{1}{4}-\frac{1}{5}\)
\(\frac{1}{3}\left(x+1\right)=\frac{1}{20}\)
\(x+1=\frac{1}{20}:\frac{1}{3}\)
\(x-1=\frac{3}{20}\)
\(x=\frac{3}{20}-1\)
\(x=-\frac{17}{20}\)
Tìm X
\(\left(1-\frac{1}{2}\right)\times\left(1-\frac{1}{3}\right)\times\left(1-\frac{1}{4}\right)\times\left(1-\frac{1}{5}\right)\)
\(=\frac{1}{2}\times\frac{2}{3}\times\frac{3}{4}\times\frac{4}{5}\)
\(=\frac{1}{5}\)
\(\Rightarrow x-100=\frac{1}{5}\)
\(x=\frac{1}{5}+100\)
\(x=\frac{1}{5}+\frac{500}{5}\)
\(x=\frac{501}{5}\)
\(\left(\frac{1}{1.2.3}+\frac{1}{2.3.4}+....+\frac{1}{8.9.10}\right).x=\frac{23}{45}\)
\(\Leftrightarrow\left[\frac{1}{2}\left(\frac{1}{1.2}-\frac{1}{2.3}+\frac{1}{2.3}-\frac{1}{3.4}+....+\frac{1}{8.9}-\frac{1}{9.10}\right)\right]x=\frac{23}{45}\)
\(\Leftrightarrow\left[\frac{1}{2}\left(\frac{1}{1.2}-\frac{1}{9.10}\right)\right].x=\frac{23}{45}\)
\(\Leftrightarrow\left(\frac{1}{2}.\frac{44}{90}\right).x=\frac{23}{45}\)
\(\Leftrightarrow\frac{11}{45}.x=\frac{23}{45}\Rightarrow x=\frac{23}{45}:\frac{11}{45}=\frac{23}{11}\)
nhung sao banj khong phan h ra ro rang,chang nhe den do khong phan h duoc sao
cộng ko có đáp án à
(x + 1 ) + ( x + 2 ) + ( x + 3 ) + ........+ (x + 100) = 5550
x = 100 + ( 1 + 2 + 3 + .........+100)=5550
x = (5550 - 5050 ) : 100
x = 500 : 100
x = 5