4/5×9+4/9×13+4/13×17+...+4/41×45 = ?
x-4/5*9-4/9*13-4/13*17-.....-4/41*45=37/45
=>x-(1/5-1/9+1/9-1/13+...+1/41-1/45)=37/45
=>x-8/45=37/45
=>x=1
tìm x biết
a,x\2008 - 1\10 -1\15 -1\21 - ...-1\120 = 5\8
b,7\x + 4\5*9 + 4\9*13 + 4\ 13*17 +...+4\41*45=29\45
Tìm x biết
A, x/4 - 3/7 + 2/5 = 31/140
B, 5/12 + 5/x - 1/8 = 1/2
C, x + 4/5×9 + 4/9×13 + 4/13×17 +.....+ 4/41×45 = -37/45
Tìm x:7/x +4/5\(\times\)9+4/9\(\times\)13+4/13\(\times\)17+....+4/41\(\times\)=29/45
tính nhanh 4/1 x 5+ 4/5 x 9 + 4/9 x 13+⋯+4/41 x 45 + 4/45 x 49
tìm x: 7/x + 4/5*9 + 4/9*13 +...+ 4/41*45=29/45
\(\frac{7}{x}+\frac{4}{5.9}+\frac{4}{9.13}+...+\frac{4}{41.45}=\frac{29}{45}\)
\(\Rightarrow\frac{7}{x}+\left(\frac{4}{5.9}+\frac{4}{9.13}+...+\frac{4}{41.45}\right)=\frac{29}{45}\)
\(\Rightarrow\frac{7}{x}+\left(\frac{1}{5}-\frac{1}{9}+\frac{1}{9}-\frac{1}{13}+...+\frac{1}{41}-\frac{1}{45}\right)=\frac{29}{45}\)
\(\Rightarrow\frac{7}{x}+\left(\frac{1}{5}-\frac{1}{45}\right)=\frac{29}{45}\)
\(\Rightarrow\frac{7}{x}+\frac{8}{45}=\frac{29}{45}\)
\(\Rightarrow\frac{7}{x}=\frac{29}{45}-\frac{8}{45}\)
\(\Rightarrow\frac{7}{x}=\frac{7}{15}\)
\(\Rightarrow x=15\)
Vậy x = 15
_Chúc bạn học tốt_
Tìm x
a)7/x+4/5×9+4/9×13+...+4/41×45=29/93
b)x+2/1×3+2/3×5+...+2/49×51=5/17
c)1/4-1/2×4-1/4×6-...-1/2x(2x+2)=23/176
1) \(\dfrac{5}{13}\) +\(\dfrac{-5}{17}\) + \(\dfrac{-20}{41}\) + \(\dfrac{8}{13}\) +\(\dfrac{-21}{41}\)
2) \(\dfrac{1}{5}\) + \(\dfrac{-2}{9}\) + \(\dfrac{-7}{9}\) + \(\dfrac{4}{5}\) +\(\dfrac{16}{17}\)
3) \(\dfrac{2}{3.5}\) + \(\dfrac{2}{5.7}\) +\(\dfrac{2}{7.9}\) +....................+ \(\dfrac{2}{99.101}\)
1: =5/13+8/13-20/41-21/41-5/17
=1-1-5/17=-5/17
2: =1/5+4/5-2/9-7/9+16/17
=16/17+1-1=16/17
3: =1/3-1/5+1/5-1/7+...+1/99-1/101
=1/3-1/101
=98/303
a)7/x+4/5×9+4/9×13+...+4/41×45=29/93
b)x+2/1×3+2/3×5+...+2/49×51=5/17
c)1/4-1/2×4-1/4×6-...-1/2x(2x+2)=23/176
Tìm x