13 + (-20)
20/11×13+20/13×15+20/15×17+....+20/53×55 = ?
x-20/11*13-20/13*15-20/15*17-....-20/53*55
x-20/11*13-20/13*15-20/15*17-......-20/53*55=3/11
x-[10*(2/11*13+2/13*15+........+2/53*55)]=3/11
x-[10*(1/11-1/13+1/13-1/15+.......1/53-1/55)]=3/11
x-[10*(1/11-1/55)] =3/11
x-(10*4/55) =3/11
x-8/11 =3/11
x =3/11+8/11
x = 1
x-20/11*13-20/13*15-20/15*17-...-20/53*55= 3/11
x-20/11*13-20/13*15-20/15*17-...-20/53*55=3/11
Tính tổng
x-20/11*13-20/13*15-20/15*17-...-20/53*55=3/11
tim x :x-20/11*13-20/13*15-...20/53*55=3/11
Tìm x thuộc N biết :
x-20/11*13-20/13*15-20/15*17 -... - 20/33*35 = 3/11
Tìm x thuộc N biết :
x-20/11*13-20/13*15-20/15*17-...-20/53*55=3/11
tìm x là số N:
x - 20/ 11. 13 - 20/13 . 15 - 20/ 15 . 17 -...-20/53 . 55= 3/ 11
Ta có :
\(x-\frac{20}{11.13}-\frac{20}{13.15}-\frac{20}{15.17}-..-\frac{20}{53.55}=\frac{3}{11}\)
\(x-\left(\frac{20}{11.13}+\frac{20}{13.15}+\frac{20}{15.17}+...+\frac{20}{52.55}\right)=\frac{3}{11}\)
Đặt \(A=\frac{20}{11.13}+\frac{20}{13.15}+\frac{20}{15.17}+...+\frac{20}{53.55}\)
\(A=10\left(\frac{2}{11.13}+\frac{2}{13.15}+\frac{2}{15.17}+...+\frac{2}{53.55}\right)\)
\(A=10\left(\frac{1}{11}-\frac{1}{13}+\frac{1}{13}-\frac{1}{15}+\frac{1}{15}-\frac{1}{17}+...+\frac{1}{53}-\frac{1}{55}\right)\)
\(A=10\left(\frac{1}{11}-\frac{1}{55}\right)\)
\(A=10.\frac{4}{55}=\frac{40}{55}=\frac{8}{11}\)
=> \(x-\frac{8}{11}=\frac{3}{11}\)
\(x=\frac{3}{11}+\frac{8}{11}=\frac{11}{11}=1\)
Ủng hộ mk nha !!! ^_^
Tìm x thuộc N, biết
x - (20)/(11 nhân 13) - (20)/(13 nhân 15) - (20)/(15 nhân 17) - ... - (20)/(53 nhân 55) = (3)/(11)
\(x-\frac{20}{11.13}-\frac{20}{13.15}-\frac{20}{15.17}-...-\frac{20}{53.55}=\frac{3}{11}\)
Đặt \(A=\frac{20}{11.13}-\frac{20}{13.15}-\frac{20}{15.17}-...+\frac{20}{53.55}\)
\(A=\frac{10.2}{11.13}-\frac{10.2}{13.15}-\frac{10.2}{15.17}-...-\frac{10.2}{53.55}\)
\(A=10\left(\frac{2}{11.13}-\frac{2}{13.15}-\frac{2}{15.17}-...-\frac{2}{53.55}\right)\)
\(A=10\left(\frac{1}{11}-\frac{1}{55}\right)\)
\(A=10.\frac{4}{55}\)
\(A=\frac{40}{55}\)\(A=10.\left(\frac{1}{11}-\frac{1}{13}+\frac{1}{13}-\frac{1}{15}+\frac{1}{15}-\frac{1}{17}+...+\frac{1}{53}-\frac{1}{55}\right)\)