\(\left(\frac{1}{2.4}+\frac{1}{4.6}+\frac{1}{6.8}+...+\frac{1}{18.20}\right).10-x=0\)

\(2\left(\frac{2}{2.4}+\frac{2}{4.6}+\frac{2}{6.8}+...+\frac{2}{18.20}\right).10-x=0\)

\(2\left(\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-\frac{1}{6}+\frac{1}{6}-\frac{1}{8}+...+\frac{1}{18}-\frac{1}{20}\right).10-x=0\)

\(2\left(\frac{1}{2}-\frac{1}{20}\right).10-x=0\)

\(2.\frac{9}{20}.10-x=0\)

\(9-x=0\)

\(x=9-0\)

\(x=9\)

`(2/(2xx4)+2/(4xx6)+2/(6xx8)+2/(8xx10))xxy=1/3`

`=>(1/2-1/4+1/4-1/6+1/6-1/8+1/8-1/10)xxy=1/3`

`=>(1/2-1/10)xxy=1/3`

`=>(5/10-1/10)xxy=1/3`

`=>4/10xxy=1/3`

`=>2/5xxy=1/3`

`=>y=1/3:2/5`

`=>y=1/3xx5/2`

`=>y=5/6`

đặt A=1/2x4 + 1/4x6 + 1/6x8 + ......... + 1/96x98 + 1/98x100

\(\Rightarrow A=\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-...+\frac{1}{98}-\frac{1}{100}\)

\(\Rightarrow A=\frac{1}{2}-\frac{1}{100}\)

\(\Rightarrow A=\frac{50}{100}-\frac{1}{100}\)

\(\Rightarrow A=\frac{49}{100}\)

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

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

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

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

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

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

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

=>x+2=90

=>x=90-2

=>x=88

vậy x=88

Để giải phương trình \( y:(\frac{1}{2} \times 4+\frac{1}{4} \times 6+\frac{1}{6} \times 8+\frac{1}{8} \times 10) \times y=\frac{1}{3} \), ta có thể làm như sau:

Đầu tiên, tính giá trị của phần tử ngoặc đơn trong phương trình: 
\( \frac{1}{2} \times 4+\frac{1}{4} \times 6+\frac{1}{6} \times 8+\frac{1}{8} \times 10 \).
\( = \frac{2}{2} \times 4+\frac{1}{2} \times 6+\frac{1}{3} \times 8+\frac{1}{4} \times 10 \).
\( = 2+3+\frac{8}{3}+\frac{10}{4} \).
\( = 2+3+\frac{8}{3}+2.5 \).
\( = 5+2.667+2.5 \).
\( = 10.167 \).

Tiếp theo, thay giá trị tính được vào phương trình: 
\( y \times 10.167 = \frac{1}{3} \).

Để tìm giá trị của y, ta chia cả hai vế của phương trình cho 10.167:
\( y = \frac{\frac{1}{3}}{10.167} \).

Tiếp tục tính toán:
\( y = \frac{1}{3} \times \frac{1}{10.167} \).
\( y \approx 0.030 \).

Vậy giá trị của y là khoảng 0.030.

[1/(2 × 4) + 1/(4 × 6) + 1/(6 × 8) + 1/(8 × 10)] × y = 1/3

(1/2 - 1/4 + 1/4 - 1/6 + 1/6 - 1/8 + 1/8 - 1/10) × y = 1/3

(1/2 - 1/10) × y = 1/3

2/5 × y = 1/3

y = 1/3 : 2/5

y = 5/6

\(\left(\dfrac{1}{2\times4}+\dfrac{1}{4\times6}+\dfrac{1}{6\times8}+\dfrac{1}{8\times10}\right)\times y=\dfrac{1}{3}\\ \Rightarrow\dfrac{1}{2}\times\left(\dfrac{2}{2\times4}+\dfrac{2}{4\times6}+\dfrac{2}{6\times8}+\dfrac{2}{8\times10}\right)\times y=\dfrac{1}{3}\\ \Rightarrow\left(\dfrac{1}{2}-\dfrac{1}{10}\right)\times y=\dfrac{2}{3}\\ \Rightarrow\dfrac{2}{5}\times y=\dfrac{2}{3}\\ \Rightarrow y=\dfrac{5}{3}\)

bậy bạ

?

><

A=5/2x(2/2x4+2/4x6+2/6x8+...+2/14x16)

=5/2x(1/2-1/4+1/4-1/6+...+1/14-1/16)

=5/2x(1/2-1/16)

=5/2x(7/16)

=35/32

Giải

1/2x4+1/4x6+1/6x8+...+1/96x98+1/98x100

= 1/2 x (1/2 - 1/4 + 1/4 - 1/6 + 1/6-1/8 + ... + 1/98 - 1/100)

= 1/2 x (1/2 - 1/100)

= 1/2 x 98/100

= 98/200

ĐS: 98/200

=5/2x(2/2x4+2/4x6+2/6x8+...+2/14x16)

=5/2x(1/2-1/4+1/4-1/6+...+1/14-1/16)

=5/2x(1/2-1/16)

=5/2x(7/16)

=35/32