Question

Tìm x:

1/2x4 + 1/4x6 + 1/6x8 + ... + 1/Xx[X+2] = 11/45

giúp mk với thứ 6 mk phải đi học rồi 

ai nhanh và hợp lý mk sẽ cho *** 

Answer 1

2[1/2X4+1/4X6+1/6X8+...+1/Xx(X+2)]=11/45x2

2/2x4+2/4x6+2/6x8+....+2/Xx(X+2)=22/45

1/2-1/4+1/4-1/6+1/6-1/8+...+1/x-1/x+2=22/45

1/2-1/x+2=22/45

1/x+2=1/2-22/45

1/x+2=1/90

=>x+2=90

=>x=88

vậy x=88

Answer 2

\(\frac{1}{2.4}+\frac{1}{4.6}+\frac{1}{6.8}+...+\frac{1}{x\left(x+2\right)}=\frac{11}{45}\)

\(\Rightarrow\frac{2}{2.4}+\frac{2}{4.6}+\frac{2}{6.8}+...+\frac{2}{x\left(x+2\right)}=\frac{22}{45}\)

\(\Rightarrow\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-\frac{1}{6}+\frac{1}{6}-\frac{1}{8}+...+\frac{1}{x}-\frac{1}{x+2}=\frac{22}{45}\)

\(\Rightarrow\frac{1}{2}-\frac{1}{x+2}=\frac{22}{45}\)

\(\Rightarrow\frac{1}{x+2}=\frac{1}{2}-\frac{22}{45}\)

\(\Rightarrow\frac{1}{x+2}=\frac{1}{90}\)

=>x+2=90

=>x=90-2

=>x=88

vậy x=88