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|-1,3.x+1/2| = |-5/6+0,2.x|
TH1: -1,3.x+1/2 = -5/6+0,2.x
=> -1,3.x - 0,2.x = -5/6 - 1/2
-1,5.x = -4/3
x = -8/9
TH2: -1,3.x+1/2 = 5/6-0,2.x
=> -1,3.x + 0,2.x = 5/6-1/2
-1,1.x = 1/3
x = -10/33
KL:...
. dùng máy tính là ra mà bạn =))
\(x^2-\left[6^2-\left(8^2-9.7\right)^3-7.5\right]^3=89-102\)
\(x^2\left[36-\left(64-63\right)^3-35\right]^3=-13\)
\(x^2-0^3=-13\)
\(x^2=-13\)( Vô lý)
=> x không xác định
\(5^{x+2}-5^x=3.10^3\)
\(\Rightarrow5^x\left(5^2-1\right)=3000\)
\(\Rightarrow5^x.24=3000\Rightarrow5^x=125=5^3\)
\(\Rightarrow x=3\)
\(5^{x+2}-5^x=3\cdot10^3\)
\(\Leftrightarrow5^x\cdot24=3000\)
\(\Leftrightarrow x=3\)
a)=\(\frac{-2.4}{5.7}+\frac{-3.2}{5.7}+\frac{-3}{5}\)
=\(\frac{-2.4}{5.7}+\frac{-2.3}{5.7}+\frac{-3}{5}\)
=\(\frac{-2}{5}\left(\frac{4+3}{7}\right)+\frac{-3}{5}\)
=\(\frac{-2}{5}.1+\frac{-3}{5}\)
=-1
b)
2.
\(\dfrac{1}{3}+\dfrac{1}{6}+\dfrac{1}{10}+...+\dfrac{2}{x\cdot\left(x+1\right)}=\dfrac{2016}{2017}\\ \dfrac{2}{6}+\dfrac{2}{12}+\dfrac{2}{20}+...+\dfrac{2}{x\cdot\left(x+1\right)}=\dfrac{2016}{2017}\\ 2\cdot\left(\dfrac{1}{6}+\dfrac{1}{12}+\dfrac{1}{20}+...+\dfrac{1}{x\cdot\left(x+1\right)}\right)=\dfrac{2016}{2017}\\ 2\cdot\left(\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{5}+...+\dfrac{1}{x}-\dfrac{1}{\left(x+1\right)}\right)=\dfrac{2016}{2017}\\ 2\cdot\left(\dfrac{1}{2}-\dfrac{1}{\left(x+1\right)}\right)=\dfrac{2016}{2017}\\ \dfrac{1}{2}-\dfrac{1}{\left(x+1\right)}=\dfrac{2016}{2017}:2\\ \dfrac{1}{2}-\dfrac{1}{\left(x+1\right)}=\dfrac{1008}{2017}\\ \dfrac{1}{\left(x+1\right)}=\dfrac{1}{2}-\dfrac{1008}{2017}\\ \dfrac{1}{\left(x+1\right)}=\dfrac{1}{4034}\\ \Rightarrow x+1=4034\Rightarrow x=4033\)
\(1+2-3-4+5+...+994-995-996+997+998\)
\(=1+\left(2-3-4+5\right)+...+\left(994-995-996+997\right)+998\)
\(=1+0+...+0+998=999\)
Chúc bạn học tốt!!!
1 + 2 - 3 - 4 + 5 + 6 - 7 - 8 + 9 + .........+ 994 - 995 - 996 + 997 + 998
= 1 + ( 2 - 3 - 4 + 5 ) + ... + ( 994 - 995 - 996 + 997 ) + 998
= 1 + 0 + ... + 0 + 998 = 999
#ĐinhBa
=5^3+3^9
=125+19683
=19808
5 x 6 : 5 x 3 + 3 x 2 x 3 x 7
= 30 : 15 + 126
= 2 + 126
= 128