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| x + 1 | + 7 = 25
<=> | x + 1 | = 18
<=> x + 1 = 18 hoặc x + 1 = -18
<=> x = 17 hoặc x = -19
bạn ngọc thiếu 3 , mình sửa luôn
\(3.|x+1|+7=25\)
\(< =>3|x+1|=25-7\)
\(< =>3|x+1|=18\)
\(< =>|x+1|=\frac{18}{3}=6\)
\(< =>\orbr{\begin{cases}x+1=6\\x+1=-6\end{cases}}\)
\(< =>\orbr{\begin{cases}x=5\\x=-7\end{cases}}\)
\(\frac{7256\cdot4375-725}{3650+4375\cdot7255}=\frac{\left(7255+1\right)\cdot4375-725}{3650+4375\cdot7255}\)
\(=\frac{7255\cdot4375+4375-725}{3650+4375\cdot7255}=\frac{7255\cdot4375+3650}{3650+4375\cdot7255}\)
\(\frac{7255\cdot4375+3650}{7255\cdot4375+3650}=1\)
=(7255+1)x4375-725 / 3650+4375x7255
=4375x7255+4375-725 / 3650+4375x7255
=4375x7255+3650 / 4375x7255+3650
=1
`S_1 = 5/(1.4) + 5/(4.7) +...+ 5/(97.100)`
`S_1 = 5 (1/(1.4) + 1/(4.7) +...+ 1/(97.100))`
`S_1 = 5/3 (3/(1.4) + 3/(4.7) +...+ 3/(97.100))`
`S_1 = 5/3 (1 - 1/4 + 1/4 - 1/7 + ...+ 1/97 - 1/100)`
`S_1 = 5/3 (1 - 1/100)`
`S_1 = 5/3 . 99/100`
`S_1 = 33/20`
a, Số các số hạng của dãy là :
( 175 - 1 ) : 2 + 1 = 88 ( số hạng )
Tổng dãy là :
( 175 + 1 ).88 : 2 = 7744
Đáp số : 7744
các câu sau tương tự nhé
Học tốt
a) \(1+3+5+7+...+173+175\)
\(\Rightarrow\frac{\left(175+1\right)\left[\left(175-1\right):2+1\right]}{2}=7744\)
b) \(6+8+10+12+...+170\)
\(\Rightarrow\frac{\left(170+6\right)\left[\left(170-1\right):2+1\right]}{2}=7524\)
c)\(2+5+8+11+...+200\)
\(\Rightarrow\frac{\left(200+2\right)\left[\left(200-2\right):3+1\right]}{2}=6767\)
d)\(4+7+10+13+...+400\)
\(\Rightarrow\frac{\left(400+4\right)\left[\left(400-4\right):3+1\right]}{2}=26866\)
e)\(1+5+9+...+401\)
\(\Rightarrow\frac{\left(401+1\right)\left[\left(401-1\right):4+1\right]}{2}=20301\)
g)\(1+6+11+16+...+566\)
\(\Rightarrow\frac{\left(566+1\right)\left[\left(566-1\right):5+1\right]}{2}=32319\)
`1/15+1/35+1/63+1/99+1/143`
`=1/[3.5]+1/[5.7]+1/[7.9]+1/[9.11]+1/[11.13]`
`=1/2(2/[3.5]+2/[5.7]+2/[7.9]+2/[9.11]+2/[11.13])`
`=1/2.(1/3-1/5+1/5-1/7+...+1/11-1/13)`
`=1/2.(1/3-1/13)`
`=1/2 . 10/39`
`=5/39`
\(-\dfrac{3}{7}\times\dfrac{15}{13}-\dfrac{3}{7}\times\dfrac{11}{13}-\dfrac{3}{7}\)
\(=-\dfrac{3}{7}\left(\dfrac{15}{13}+\dfrac{11}{13}+1\right)\)
\(=-\dfrac{3}{7}\left(\dfrac{15}{13}+\dfrac{11}{13}+\dfrac{13}{13}\right)\)
\(=-\dfrac{3}{7}\times\dfrac{39}{13}=-\dfrac{3}{7}\times3=-\dfrac{9}{7}\)
\(=\dfrac{1}{3}:\dfrac{7\cdot\left(5+3\right)}{18\cdot\left(53-11\right)}\)
\(=\dfrac{1}{3}:\dfrac{7\cdot8}{18\cdot42}\)
\(=\dfrac{1}{3}:\dfrac{7\cdot2\cdot2\cdot2}{3\cdot3\cdot2\cdot2\cdot3\cdot7}\)
\(=\dfrac{1}{3}:\dfrac{2}{3\cdot3\cdot3}\)
\(=\dfrac{1}{3}\cdot\dfrac{27}{2}\)
\(=\dfrac{9}{2}\)
\(\left(-31\right)+57+31+290+\left(-57\right)+\left(-290\right)\)
\(=\left[\left(-31\right)+31\right]+\left[57+\left(-57\right)\right]+\left[290+\left(-290\right)\right]\)
\(=0\)
(Mình làm theo ý hiểu của mình)
(-31)+31+57+290+(-57)+(290)
=(31-31)+(57-57)+(290-290)
= 0 + 0 + 0
= 0
A