(1/2x4+1/4x6+1/6x8+1/8x10)xy=1/3
(1phan 2x4+1 phan 4x6+1 phan 6x8+1phan 8x10)xy 1phan 3
tìm y:
(2/2x4 + 2/4x6 + 2/6x8 + 2/8x10) x y = 1/3
`(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`
tìm y :( 1/2x4 + 1/4x6 + 1/6x8 + 1/8x10 ) x y = 1/3
sos cố gắng giúp mik vs . mình cảm ơn
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
\(\left(\dfrac{1}{2\times4}+\dfrac{1}{4\times6}+\dfrac{1}{6\times8}+\dfrac{1}{8\times10}\right)\times y=\dfrac{1}{3}\\ \Rightarrow\dfrac{1}{2}\times\left(\dfrac{2}{2\times4}+\dfrac{2}{4\times6}+\dfrac{2}{6\times8}+\dfrac{2}{8\times10}\right)\times y=\dfrac{1}{3}\\ \Rightarrow\left(\dfrac{1}{2}-\dfrac{1}{10}\right)\times y=\dfrac{2}{3}\\ \Rightarrow\dfrac{2}{5}\times y=\dfrac{2}{3}\\ \Rightarrow y=\dfrac{5}{3}\)
Bài 1 tìm y
a) (1/2x4+1/4x6+1/6x8+1/8x10)x y =1/3
b) y:8+y x8-56,78=69,11x2
Tính :
N = ( 1/2x4 + 1/4x6 + 1/6x8 + 1/8x10 + ....... + 1/98 X 100 ) : ( 1/2 + 1/4 + 1/8 + 1/16 + ........ + 1/512 )
Tìm y biết \(\left(\frac{1}{2x4}+\frac{1}{4x6}+\frac{1}{6x8}+\frac{1}{8x10}\right).y=\frac{1}{3}\)
\(\left(\frac{1}{2.4}+\frac{1}{4.6}+\frac{1}{6.8}+\frac{1}{8.10}\right).y=\frac{1}{3}\)
\(\frac{1}{2}\left(\frac{2}{2.4}+\frac{2}{4.6}+\frac{2}{6.8}+\frac{2}{8.10}\right).y=\frac{1}{3}\)
\(\left(\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-\frac{1}{6}+\frac{1}{6}-\frac{1}{8}+\frac{1}{8}-\frac{1}{10}\right).y=\frac{1}{3}:\frac{1}{2}=\frac{2}{3}\)
\(\left(\frac{1}{2}-\frac{1}{10}\right).y=\frac{2}{3}\)
\(\frac{2}{5}.y=\frac{2}{3}\)
=> \(y=\frac{2}{3}:\frac{2}{5}\)
=>\(y=\frac{3}{5}\)
\(\frac{1}{2x4}+\frac{1}{4x6}+\frac{1}{6x8}+\frac{1}{8x10}+\frac{1}{10x12}\)
các bạn làm cả lời giải giúp mk nhé!
=1/2-1/4+1/4-1/6+1/61/8+1/81/10+1/10-1/12
=1/2-1/12
5/12
tk nha
Đặt : \(A=\frac{1}{2.4}+\frac{1}{4.6}+\frac{1}{6.8}+\frac{1}{8.10}+\frac{1}{10.12}\)
\(\Rightarrow2A=\frac{2}{2.4}+\frac{2}{4.6}+\frac{2}{6.8}+\frac{2}{8.10}+\frac{2}{10.12}\)
\(\Rightarrow2A=\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-\frac{1}{6}+......+\frac{1}{10}-\frac{1}{12}\)
\(\Rightarrow2A-A=\frac{1}{2}-\frac{1}{12}\)
\(\Rightarrow A=\frac{5}{12}\)
bài duoi giải sai nha
Dặt biểu thức trên là A
ta có\(2A=\frac{2}{2.4}+\frac{2}{4.6}+\frac{2}{6.8}+\frac{2}{8.10}+\frac{2}{10.12}\)
\(2A=1-\frac{1}{4}+\frac{1}{4}-\frac{1}{6}+...+\frac{1}{10}-\frac{1}{12}\)
\(2A=1-\frac{1}{12}=\frac{11}{12}\)
\(A=\frac{11}{12}\)/ 2=\(\frac{11}{24}\)
\(S=\frac{1}{1x3}-\frac{1}{2x4}+\frac{1}{3x5}-\frac{1}{4x6}+\frac{1}{5x7}-\frac{1}{6x8}+\frac{1}{7x9}-\frac{1}{8x10}\)
giúp mình với mình đang cần gấp.
\(S=\frac{1}{1.3}-\frac{1}{2.4}+\frac{1}{3.5}-\frac{1}{4.6}+\frac{1}{5.7}-\frac{1}{6.8}+\frac{1}{7.9}-\frac{1}{8.10}\)
\(\Rightarrow S=\frac{1}{2}\left(1-\frac{1}{3}-\frac{1}{2}+\frac{1}{4}+\frac{1}{3}-\frac{1}{5}-\frac{1}{4}+\frac{1}{6}+\frac{1}{5}-\frac{1}{7}-\frac{1}{6}+\frac{1}{8}+\frac{1}{7}-\frac{1}{9}-\frac{1}{8}+\frac{1}{10}\right)\)
\(\Rightarrow S=\frac{1}{2}\left(1+\frac{1}{10}\right)\)
\(\Rightarrow S=\frac{1}{2}.\frac{11}{10}\)
\(\Rightarrow S=\frac{11}{20}\)
tính nhanh: A=2/2x4 + 2/4x6 + 2/6x8 + 2/8x10
A==2/2x4+2/4x6+2/6x8+2/8x10
A=1/2-1/4+1/4-1/6+1/6-1/8+1/8-1/10
A=1/2-1/10=2/5.
Mk lam xong dau tien, k nhe
Cx2=2/2-2/4+2/4-2/6+2/6-2/8+2/8-2/10
Cx2=2/2-2/10=10/10+-2/10=4/5
Suy ra:C=4/5:2=4/5x1/2=2/5