Tìm x thuộc Z biết:
3-x=(-21)-(-9)
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TL
5
HT
0
HA
0
PD
5
20 tháng 4 2016
Ta có : \(\frac{1}{21}+\frac{1}{28}+...+\frac{2}{x\left(x+1\right)}=\frac{2}{9}\)
\(\Rightarrow\frac{2}{42}+\frac{2}{56}+...+\frac{2}{x\left(x+1\right)}=\frac{2}{9}\)
\(\Rightarrow2\left(\frac{1}{42}+\frac{1}{56}+...+\frac{1}{x\left(x+1\right)}\right)=\frac{2}{9}\)
\(\Rightarrow2\left(\frac{1}{6.7}+\frac{1}{7.8}+...+\frac{1}{x\left(x+1\right)}\right)=\frac{2}{9}\)
\(\Rightarrow2\left(\frac{1}{6}-\frac{1}{7}+\frac{1}{7}-\frac{1}{8}+...+\frac{1}{x}-\frac{1}{x+1}\right)=\frac{2}{9}\)
\(\Rightarrow2\left(\frac{1}{6}-\frac{1}{x+1}\right)=\frac{2}{9}\)
\(\Rightarrow\frac{1}{6}-\frac{1}{x+1}=\frac{2}{9}:2=\frac{1}{9}\)
\(\Rightarrow\frac{1}{x+1}=\frac{1}{6}-\frac{1}{9}=\frac{1}{18}\)
\(\Rightarrow x+1=18\Rightarrow x=17\)
Vậy x = 17
ET
9 tháng 4 2017
\(\Rightarrow\dfrac{2}{42}+\dfrac{2}{56}+\dfrac{2}{72}+.....+\dfrac{2}{x\left(x+1\right)}\Rightarrow2\left(\dfrac{1}{42}+\dfrac{1}{56}+\dfrac{1}{72}+.....+\dfrac{1}{x\left(x+1\right)}\right)=\dfrac{2}{9}\\ \Rightarrow2\left(\dfrac{1}{6.7}+\dfrac{1}{7.8}+\dfrac{1}{8.9}+....+\dfrac{1}{x\left(x+1\right)}\right)=\dfrac{2}{9}\\ \Rightarrow2\left(\dfrac{1}{6}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{8}+\dfrac{1}{8}-\dfrac{1}{9}+....+\dfrac{1}{x}-\dfrac{1}{x+1}\right)=\dfrac{2}{9}\\ \Rightarrow2\left(\dfrac{1}{6}-\dfrac{1}{x+1}\right)=\dfrac{2}{9}\\ \Rightarrow\dfrac{1}{6}-\dfrac{1}{x+1}=\dfrac{2}{9}:2\\ \Rightarrow\dfrac{1}{6}-\dfrac{1}{x+1}=\dfrac{2}{9}.\dfrac{1}{2}\\ \Rightarrow\dfrac{1}{6}-\dfrac{1}{x+1}=\dfrac{1}{9}\\ \Rightarrow\dfrac{1}{x+1}=\dfrac{1}{6}-\dfrac{1}{9}\\ \Rightarrow\dfrac{1}{x+1}=\dfrac{3}{54}\\ \Rightarrow x+1=\dfrac{54}{3}\\ \Rightarrow x=\dfrac{54}{3}-1=\dfrac{51}{3}\\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \)
TH
4
HT
7
30 tháng 12 2019
\(43+\left(9-21\right)=317\left(x+317\right)\)
\(\Rightarrow317-\left(x+317\right)=43+\left(9-21\right)\)
\(\Rightarrow317-\left(x+317\right)=43+\left(-12\right)\)
\(\Rightarrow317-\left(x+317\right)=31\)
\(\Rightarrow x+317=317-31\)
\(\Rightarrow x+317=286\)
\(\Rightarrow x=286-317\)
\(\Rightarrow x=-31\)
Vay x = -31
\(b.\left(15-x\right)+\left(x-12\right)=7-\left(-5+x\right)\)
\(\Rightarrow15-x+x-12=7+5+x\)
\(\Rightarrow15-12=12-x\)
\(\Rightarrow3=12-x\)
\(\Rightarrow12-x=3\)
\(\Rightarrow x=12-3\)
\(\Rightarrow x=9\)
Vay x = 9
....
30 tháng 12 2019
a) 43+(9-21) = 317-(x+317)
43+(-12) = 317-(x+317)
317-(x+317) = 31
x+317 = 317-31=286
x = 286-317=(-31)
Tạm thời câu b mình chưa nghĩ ra nha.
3-x=(-21)-(-9)
3-x=-12
x=3-(-12)
x=15
Đúng nha~~~!!
3 - x = ( -21) - ( -9 )
3 - x = -12
x = -12 + 3 = -9