20+11=
So sánh A = 20^10+1/20^11+1 và B = 20^11+1/20^12+1
`A=(20^10+1)/(20^11+1)`
`=>20A=(20^11+20)/(20^11+1)=1+19/(20^11+1)`
Hoàn toàn tương tự: `20B=1+19/(20^12+1)`
Vì `19/(20^12+1)<19/(20^11+1)`
`=>20B<20A`
`=>B<A`
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
Nhân đó bạn , làm giúp mình với !
Tìm x thuộc N biết :
x-20/11*13-20/13*15-20/15*17-...-20/53*55=3/11
Rút gọn
a) 20 - 12 . 20/ -30 - 30 . 10
b) 11^9 . 3^15 . 27/ 3^10 .11^11. 3^8
Em cố gắng gõ latex nha
a: \(=\dfrac{20\left(1-12\right)}{30\left(-1-10\right)}=\dfrac{2}{3}\)
b: \(=\dfrac{11^9\cdot3^{18}}{3^{18}\cdot11^{11}}=\dfrac{1}{121}\)
Rút gọn
a) 20 - 12 . 20/ -30 - 30 . 10
b) 11^9 . 3^15 . 27/ 3^10 .11^11. 3^8
a: \(=\dfrac{20\left(1-12\right)}{30\left(-1-10\right)}=\dfrac{20}{30}=\dfrac{2}{3}\)
b: \(=\dfrac{11^9\cdot3^{18}}{3^{10}\cdot11^{11}\cdot3^8}=\dfrac{1}{121}\)
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 !!! ^_^