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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
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 !!! ^_^
\(x-\frac{20}{11.13}-\frac{20}{13.15}-\frac{20}{15.17}-...-\frac{20}{53.55}=\frac{3}{11}\)
Đặt \(A=\frac{20}{11.13}-\frac{20}{13.15}-\frac{20}{15.17}-...+\frac{20}{53.55}\)
\(A=\frac{10.2}{11.13}-\frac{10.2}{13.15}-\frac{10.2}{15.17}-...-\frac{10.2}{53.55}\)
\(A=10\left(\frac{2}{11.13}-\frac{2}{13.15}-\frac{2}{15.17}-...-\frac{2}{53.55}\right)\)
\(A=10\left(\frac{1}{11}-\frac{1}{55}\right)\)
\(A=10.\frac{4}{55}\)
\(A=\frac{40}{55}\)\(A=10.\left(\frac{1}{11}-\frac{1}{13}+\frac{1}{13}-\frac{1}{15}+\frac{1}{15}-\frac{1}{17}+...+\frac{1}{53}-\frac{1}{55}\right)\)
\(\left(5x-55\right).\left(x+20\right)=0\)
\(\Rightarrow\orbr{\begin{cases}5x-55=0\\x+20=0\end{cases}}\Rightarrow\orbr{\begin{cases}x=11\\x=-20\end{cases}}\)
Vậy x = 11 hoặc x = -20 .
(5x-55).(x+20) =0
Ta có 2 trường hợp:
TH1: 5x-55 = 0
5x = 55
x = 11
TH2: x+20=0
x=-20
Vậy x= 11 hoặc x= -20.
Chúc bạn học giỏi!
a) (-13) + (-750) + (-17) + 750
= -763 + (-17) + 750
= -780 + 750
= -30
b) (55 + 45 + 15) - (15 - 55 + 45)
= 115 - 5
= 110
c) (-7) + (-20) + 35 + (-8)
= -27 + 35 + (-8)
= 8 + (-8)
= 0
d) (57 - 725) - (605 - 53)
= -668 - 552
= -1220
Hok tốt, mik nha
20 + 5x = 5^5 : 5^3
20 + 5x = 5^2
20 + 5x = 25
5x = 25 - 20
5x = 5
X = 5 : 5
X = 1
HOK TỐT NHA BN