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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!
\(\dfrac{1}{3x5}+\dfrac{1}{5x7}+\dfrac{1}{7x9}+...+\dfrac{1}{x\left(x+2\right)}=\dfrac{16}{99}\)
\(=\dfrac{1}{2}\left(\dfrac{2}{3x5}+\dfrac{2}{5x7}+...+\dfrac{2}{x\left(x+2\right)}\right)=\dfrac{16}{99}\)
\(=\dfrac{2}{3x5}\)\(+\dfrac{2}{5x7}+...+\dfrac{2}{x\left(x+2\right)}=\dfrac{32}{99}\)
\(=\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{7}+\dfrac{1}{7}+.....+\dfrac{1}{x}-\dfrac{1}{x+2}=\dfrac{32}{99}\)
\(=\dfrac{1}{3}-\dfrac{1}{x+2}=\dfrac{32}{99}=>x=97\)
A) X = 5/8 - 1/4
B) X = 1/10 + 3/5
C) X = 6/11 : 2/7
D) X = 1/4 x 3/2
Còn đâu bạn tự tính nha
Nhớ tích tích đúng cho mình đấy
a)x=5/8-1/4
x=5/8-2/8
x=3/8
b)x=1/10+3/5
x=1/10+3/10
x=4//10
c)x=2/11:2/7
x=2/11x7/2
x=11/7
d)x=1/4x3/2
x=3/8
đánh giá 5 sao cho mình nhá! cảm ơn nhìu
đây là toán 6
với mọi x thuộc Z thì l 5x-2 l lớn hơn hoặc = 0
- Mà l 5x-2l bé hơn hoặc = 3
=>l 5x-2 l= 0;1;2;3
=> 5x -2 = 0;-1;1;2;-2;3;-3
Thử từng cái
\(\frac{1}{2}\times x+\frac{2}{3}=\frac{5}{2}\)
\(\frac{1}{2}\times x=\frac{5}{2}-\frac{2}{3}\)
\(\frac{1}{2}\times x=\frac{11}{6}\)
\(x=\frac{11}{6}\div\frac{1}{2}\)
\(x=\frac{11}{3}\)
\(\left(\frac{3}{4}\cdot x\right):\frac{1}{2}=\frac{4}{5}\)
\(\frac{3}{4}\cdot x=\frac{4}{5}\cdot\frac{1}{2}\)
\(\frac{3}{4}\cdot x=\frac{2}{5}\)
\(x=\frac{2}{5}:\frac{3}{4}\)
\(x=\frac{8}{15}\)
x = 5/3
lm nhanh thôi!
\(x.\frac{1}{5}=1-\frac{2}{3}\)
\(x.\frac{1}{5}=\frac{3}{3}-\frac{2}{3}=\frac{1}{3}\)
\(x=\frac{1}{3}.5=\frac{5}{3}\)