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\(x+x\cdot3:\dfrac{2}{9}+x:\dfrac{2}{7}=252\)
\(\Leftrightarrow x+x\cdot3\cdot\dfrac{9}{2}+x\cdot\dfrac{7}{2}=252\)
\(\Leftrightarrow x\cdot18=252\)
hay x=14
x*3,4=15,3
x = 15,3 : 3,4
x = 4,5
7,5:x=0,24
x = 7,5 : 0,24
x = 31,25
5/6:x=7/8
x = 5/6 : 7/8
x = 20/21
2/3*x=5/9
x = 5/9 : 2/3
x = 5/6
Xx3,4=15,3
X = 15,3 : 3,4
X =4.5
7,5:x=0,24
x=7,5 : 0,24
x= 31.25
5/6:x=7/8
x=5/6 : 7/8
x= 20/21
2/3xX=5/9
X= 5/9 : 2/3
X= 5/6
Giải:
\(\dfrac{1}{3.5}+\dfrac{1}{5.7}+\dfrac{1}{7.9}+...+\dfrac{1}{x.\left(x+2\right)}=\dfrac{16}{99}\)
\(\dfrac{1}{2}.\left(\dfrac{2}{3.5}+\dfrac{2}{5.7}+\dfrac{2}{7.9}+...+\dfrac{2}{x.\left(x+2\right)}\right)=\dfrac{16}{99}\)
\(\dfrac{1}{2}.\left(\dfrac{1}{2}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{9}+...+\dfrac{1}{x}-\dfrac{1}{x+2}\right)=\dfrac{16}{99}\)
\(\dfrac{1}{2}.\left(\dfrac{1}{3}-\dfrac{1}{x+2}\right)=\dfrac{16}{99}\)
\(\dfrac{1}{3}-\dfrac{1}{x+2}=\dfrac{16}{99}:\dfrac{1}{2}\)
\(\dfrac{1}{3}-\dfrac{1}{x+2}=\dfrac{32}{99}\)
\(\dfrac{1}{x+2}=\dfrac{1}{3}-\dfrac{32}{99}\)
\(\dfrac{1}{x+2}=\dfrac{1}{99}\)
\(\Rightarrow x+2=99\)
\(x=99-2\)
\(x=97\)
Chúc em học tốt!
\(\dfrac{1}{3x5}+\dfrac{1}{5x7}+\dfrac{1}{7x9}+...+\dfrac{1}{x\left(x+2\right)}=\dfrac{16}{99}\)
\(=\dfrac{1}{2}\left(\dfrac{2}{3x5}+\dfrac{2}{5x7}+...+\dfrac{2}{x\left(x+2\right)}\right)=\dfrac{16}{99}\)
\(=\dfrac{2}{3x5}\)\(+\dfrac{2}{5x7}+...+\dfrac{2}{x\left(x+2\right)}=\dfrac{32}{99}\)
\(=\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{7}+\dfrac{1}{7}+.....+\dfrac{1}{x}-\dfrac{1}{x+2}=\dfrac{32}{99}\)
\(=\dfrac{1}{3}-\dfrac{1}{x+2}=\dfrac{32}{99}=>x=97\)
\(x-\dfrac{2}{3}.\left(x+9\right)=1\)
\(\Rightarrow x-\dfrac{2}{3}x-6=1\)
\(\Rightarrow\dfrac{1}{3}x=7\)
\(\Rightarrow x=21\)
\(x-\dfrac{2}{3}\times\left(x+9\right)=1\)
\(x-\dfrac{2}{3}x-6=1\)
\(\dfrac{1}{3}x-6=1\)
\(\dfrac{1}{3}x=1+6\)
\(\dfrac{1}{3}x=7\)
\(x=7:\dfrac{1}{3}\)
\(x=21\)