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2+6+12+20+...+90
Cách tính mk ko rành lắm xin các anh chị giúp đỡ
đáp án là : 330
t nha
A = 1 x 2 + 2 x 3 + 3 x 4 + 4 x 5 + ... + 9 x 10
A x 3 = 1 x 2 x 3 + 2 x 3 x 3 + 3 x 4 x 3 + ... + 9 x 10 x 3
A x 3 = 1 x 2 x 3 + 2 x 3 x ( 4 - 1 ) + 3 x 4 ( 5 - 2 ) + ... + 9 x 10 x ( 11 - 8 )
A x 3 = 1 x 2 x 3 + 2 x 3 x 4 - 1 x 2 x 3 + 3 x 4 x 5 - 2 x 3 x 4 + 4 x 5 x 6 - 3 x 4 x 5 + ... + 9 x 10 x 11 - 8 x 9 x 10
A x 3 = 9 x 10 x 11
A = 9 x 10 x 11 : 3
A = 330
Vậy A = 330
Đặt S=
1 x 2 + 2 x 3 + 3 x 4 + 4 x 5 + ............. + 9 x 10
=>3S + 1.2.3+2.3.3+...+99.100.3
=>1.2.3+2.3(4-1)+3.4(5-2)+...+99.100(101-98)
=>1.2.3+2.3.4-1.2.3+3.4.5+-2.3.4+...+99.100.101-98.100.101
=>99.100.101=999900
=>S=333300
\(C=5\frac{9}{10}:\frac{3}{2}-\left(2\frac{1}{3}.4\frac{1}{2}-2.2\frac{1}{3}\right):\frac{7}{4}\)
\(=\frac{59}{10}:\frac{3}{2}-\left(\frac{7}{3}.\frac{9}{2}-2.\frac{7}{3}\right):\frac{7}{4}\)
\(=\frac{59}{15}-\left[\frac{7}{3}\left(\frac{9}{2}-2\right)\right]:\frac{7}{4}\)
\(=\frac{59}{15}-\frac{35}{6}:\frac{7}{4}\)
\(=\frac{59}{15}-\frac{10}{3}\)
\(=\frac{9}{15}=\frac{3}{5}\)
\(\cdot62,87+35,14+4,13+8,35+4,86+5,65\)
\(=\left(62,87+4,13\right)+\left(35,14+4,86\right)+\left(8,35+5,65\right)\)
\(=67+40+14\)
\(=121\)
2/3.x + 1/4 = 7/12
2/3.x = 7/12 - 1/4
2/3.x = 1/3
x = 1/3 : 2/3
x = 1/2
Bài làm
\(\frac{2}{3}x+\frac{1}{4}=\frac{7}{12}\)
\(\frac{2}{3}x=\frac{7}{12}-\frac{1}{4}\)
\(\frac{2}{3}x=\frac{7}{12}-\frac{3}{12}\)
\(\frac{2}{3}x=\frac{4}{12}\)
\(\frac{2}{3}x=\frac{1}{3}\)
\(x=\frac{1}{3}:\frac{2}{3}\)
\(x=\frac{1}{3}.\frac{3}{2}\)
\(x=\frac{1}{2}\)
Vậy \(x=\frac{1}{2}\)
4^2 + 3^2 - 2^3 .x= 5^2
(4+3)^2-2^3.x=25
7^2-2^3.x=25
49-8.x=25
8.x=49-25
8.x=24
x=24:8
x=3
\(4^2+3^2-2\cdot3x=5^2\)
\(\Leftrightarrow16+9-6x=25\)
\(\Leftrightarrow-6x=25-25\)
\(\Leftrightarrow-6x=0\)
\(\Leftrightarrow x=0\)
7/3 - 2/3 . x = 7/4
2/3 . x = 7/3 - 7/4
2/3 . x = 28/12 - 21/ 12
2/3 . x = 7/12
x = 7/12 : 2/3
x = 7/12 . 3/2
x = 21/ 24
x = 7/8
vậy x = 7/8
\(\frac{7}{3}-\frac{2}{3}x=-1\frac{3}{4}\)
\(\frac{7}{3}-\frac{2}{3}x=-\frac{7}{4}\)
\(\frac{2}{3}x=\frac{7}{3}-\left(-\frac{7}{4}\right)\)
\(\frac{2}{3}x=\frac{7}{3}+\frac{7}{4}\)
\(\frac{2}{3}x=\frac{49}{12}\)
\(x=\frac{49}{12}:\frac{2}{3}\)
\(x=\frac{49}{12}\cdot\frac{3}{2}\)
\(x=\frac{49}{8}\)
nếu thấy đúng thì k cho mh nhahoàng mộc miên123___
\(C=\dfrac{1}{2}.\dfrac{2}{3}.\dfrac{3}{4}.....\dfrac{48}{49}.\dfrac{49}{50}=\dfrac{1}{50}\)
\(a,78-\left(x-3\right)=16\)
\(78-x+3=16\)
\(51-x=16\)
\(x=51-16=35\)
\(b,\left(2x+3\right):4=60\)
\(2x+3=60\cdot4=240\)
\(2x=240-3=237\)
\(x=\frac{237}{2}\)
\(c,\left(2x-8\right)=\left(2x-8\right)^7\)
\(\left(2x-8\right)-\left(2x-8\right)^7=0\)
Để mik nghĩ thêm tí r làm tiép
Để tui làm nốt ý C cho !!!
( 2x - 8 ) = ( 2x - 8 )7
=> ( 2x - 8 ) . 1 - ( 2x - 8 ) . ( 2x - 8 )6 = 0
=> ( 2x - 8 ) . [ 1 - ( 2x - 8 )6 ] = 0
=> 1 - ( 2x - 8 )6 = 0
=> ( 2x - 8 )6 = 1
=> ( 2x - 8 )6 = ( 16 )
\(\Rightarrow\orbr{\begin{cases}2x-8=1\\2x-8=-1\end{cases}\Rightarrow\orbr{\begin{cases}2x=9\\2x=7\end{cases}\Rightarrow}\orbr{\begin{cases}x=\frac{9}{2}\\x=\frac{7}{2}\end{cases}}}\)
Vậy ........
\(\left(x-3\right)^2=4\)
\(\Leftrightarrow\orbr{\begin{cases}x-3=2\\x-3=-2\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=5\\x=1\end{cases}}\)
Vậy.......
Từ (x-3)^2=4 , suy ra;
x-3 bằng 2 hoặc x-3 bằng -2
Ta có
x-3 bằng 2 suy ra x bằng 5; x-3 bằng -2 suy ra x bằng 1
vậy x bằng 5 hoặc 1