1/2 + 1/6 + 1/12 + 1/20 + 1/30 1/x = 41/42

5/6 + 1/x = 41/42

1/x = 41/42 - 5/6 

1/x = 1/7 

vậy x = 7

x = 7 ở vong 18 đúng không

chuẩn 

41/42 - 1/2 - 1/6 - 1/12 - 1/20 -1/30 = 1/x

1/7 = 1/x

x = 1 / 1/7

x = 7

chi lớp 4 há

                          \(\frac{1}{1X2}+\frac{1}{2X3}+\frac{1}{3X4}+\frac{1}{4X5}+\frac{1}{5X6}+\frac{1}{x}\)=    \(\frac{41}{42}\)

                            \(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+\frac{1}{x}=\frac{41}{42}\)

                             \(1-\frac{1}{6}+\frac{1}{x}=\frac{41}{42}\)

                            \(\frac{5}{6}+\frac{1}{x}=\frac{41}{42}\)     

                                             \(\frac{1}{x}\)     =\(\frac{41}{42}-\frac{5}{6}\) 

                                              \(\frac{1}{x}\)    =   \(\frac{1}{7}\)        

                         VẬy x = 7

                       k cho mik nha

\(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{x}=\frac{41}{42}\)

=>\(\frac{1}{x}=\frac{41}{42}-\frac{1}{30}-\frac{1}{20}-\frac{1}{12}-\frac{1}{6}-\frac{1}{2}\)

=>\(\frac{1}{x}=\frac{410-14-21-35-70-210}{420}\)

=>\(\frac{1}{x}=\frac{1}{7}\)

=> x = 7

K mình nhé mn !!!

\(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{x}=\frac{41}{42}\)

\(\frac{5}{6}+\frac{1}{x}=\frac{41}{42}\)

\(\frac{1}{x}=\frac{41}{42}-\frac{5}{6}\)

\(\frac{1}{x}=\frac{1}{7}\)

Vậy x = 7

\(\frac{1}{\left(x+1\right)\left(x+2\right)}+\frac{1}{\left(x+2\right)\left(x+3\right)}+\frac{1}{\left(x+3\right)\left(x+4\right)}+\frac{1}{\left(x+4\right)\left(x+5\right)}+\frac{1}{\left(x+5\right)\left(x+6\right)}+\frac{1}{\left(x+6\right)\left(x+7\right)}=\frac{1}{2}\)

\(\Leftrightarrow\frac{1}{x+1}-\frac{1}{\left(x+2\right)}+\frac{1}{\left(x+2\right)}-\frac{1}{\left(x+3\right)}+\frac{1}{\left(x+3\right)}-...-\frac{1}{x+6}+\frac{1}{\left(x+6\right)}-\frac{1}{\left(x+7\right)}=\frac{1}{2}\)

\(\Leftrightarrow\frac{1}{x+1}-\frac{1}{x+7}=\frac{1}{2}\Leftrightarrow\frac{6}{\left(x+1\right)\left(x+7\right)}=\frac{1}{2}\)\(\Leftrightarrow x^2+8x+7=12\Leftrightarrow\left(x+4\right)^2-21=0\Leftrightarrow\left(x+4-\sqrt{21}\right)\left(x+4+\sqrt{21}\right)=0\Rightarrow\left[{}\begin{matrix}x=-4+\sqrt{21}\\x=-4-\sqrt{21}\end{matrix}\right.\)

x = 7 . đúng 100%. chọn mình nha.

\(\frac{1}{x}=\frac{41}{42}-\frac{1}{30}-\frac{1}{20}-\frac{1}{12}-\frac{1}{6}-\frac{1}{2}\)

\(\frac{1}{x}=\frac{1}{7}\). Suy ra \(x\)= 7.

1/2 +1/6 +1/12+1/20+1/30+1/x=41/42

Ta có \(\frac{1}{1\cdot2}+\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+\frac{1}{4\cdot5}+\frac{1}{5\cdot6}+\frac{1}{6\cdot7}=\frac{41}{42}\)

mà 6 . 7 bàng 42=> x=42

mà . là dấu nhân

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