මේ ගාණ හදල දෙන්ඩ

[07sanjeewakaru]

ඒ ටික තේරෙනව. උත්තරේ හරියටම දශම ගාණට ගන්න හැටි බැලුවෙ..
මේ ගාණ ටිකක් අමාරුයි නේ..

machan....
oya sameekaranen..x!! uktha karapan...
x!!=720 kiyana thanata waren......
[x!]!=6!
x!=6
x!=3!

x=3

mata hithenne meke !! kiyanne deparak kramaropitha ganna eka...Double factorial newei...

 

[20_18]

machan....
oya sameekaranen..x!! uktha karapan...
x!!=720 kiyana thanata waren......
[x!]!=6!
x!=6
x!=3!

x=3

mata hithenne meke !! kiyanne deparak kramaropitha ganna eka...Double factorial newei...

x!!=720 එනකං හදාගත්ත

 

[fahim91]

X!!=Hamster

 

[Yujitha]

machan....
oya sameekaranen..x!! uktha karapan...
x!!=720 kiyana thanata waren......
[x!]!=6!
x!=6
x!=3!

x=3

mata hithenne meke !! kiyanne deparak kramaropitha ganna eka...Double factorial newei...

Mu kiyala tiyena eka hari
x!!=3!!

 

[exodus293]

3 wage neh ban.....wayasai factorial mataka nee

 

[pdn.ac.lk]

if we consider the meaning of X!! is Double factorial as X!!=720

this is implies

x.(x-2)....6.4.2=720

or

x.(x-2)....7.5.3.1=720

or

1=720 (this is clearly a contradiction)​

but by the definition, x must be an integer greater than or equal to -1

now think about

8*6*4*2=384 <720
10*8*6*4*2=3840 >720

Also
7*5*3*1=105 <720
9*7*5*3*1=945 >720​

So, there is no any x such that

x.(x-2)....6.4.2=720 or x.(x-2)....7.5.3.1=720

i think we can get an answer for x using (x!)!=720​

 

[07sanjeewakaru]

if we consider the meaning of X!! is Double factorial as X!!=720

this is implies

x.(x-2)....6.4.2=720

or

x.(x-2)....7.5.3.1=720

or

1=720 (this is clearly a contradiction)​

but by the definition, x must be an integer greater than or equal to -1

now think about

8*6*4*2=384 <720
10*8*6*4*2=3840 >720

Also
7*5*3*1=105 <720
9*7*5*3*1=945 >720​

So, there is no any x such that

x.(x-2)....6.4.2=720 or x.(x-2)....7.5.3.1=720

i think we can get an answer for x using (x!)!=720​

pera porak a...

 

[imhotep]

You all seem to be confused with the integer value of x. The value given by Wolfram alpha is correct. You can extend the factorials to non integers. For eg what is the factorial of 1/2? Surprisingly it is SQR(pi)/2
These are related to the Pi function and the Gamma function.

 

[pdn.ac.lk]

pera porak a...

yep...........

 

[avent]

මේ ගානේ තියන විදියටනම් මේක double factorial එක තමයි. මේක A/L ගානක් නම් ඕක x!! = (x!)! කියලා අරගන හදන්න එහෙම නැතිනම් complex විදියට Gamma Function අරගෙන තමයි හදන්න වෙන්නේ.

 

[pdn.ac.lk]

You all seem to be confused with the integer value of x. The value given by Wolfram alpha is correct. You can extend the factorials to non integers. For eg what is the factorial of 1/2? Surprisingly it is SQR(pi)/2
These are related to the Pi function and the Gamma function.

if we consider the meaning of X!! is Double factorial as X!!=720

this is implies

x.(x-2)....6.4.2=720

or

x.(x-2)....7.5.3.1=720

or

1=720 (this is clearly a contradiction)​

but by the definition, x must be an integer greater than or equal to -1

now think about

8*6*4*2=384 <720
10*8*6*4*2=3840 >720

Also
7*5*3*1=105 <720
9*7*5*3*1=945 >720​

So, there is no any x such that

x.(x-2)....6.4.2=720 or x.(x-2)....7.5.3.1=720

i think we can get an answer for x using (x!)!=720​

yep, u correct, we have no any integer solutions but have non-integer sol,
x ≈ 8.72893274191409...(Given by Wolfram)​

 

[20_18]

You all seem to be confused with the integer value of x. The value given by Wolfram alpha is correct. You can extend the factorials to non integers. For eg what is the factorial of 1/2? Surprisingly it is SQR(pi)/2
These are related to the Pi function and the Gamma function.

 

[20_18]

මේ ගානේ තියන විදියටනම් මේක double factorial එක තමයි. මේක A/L ගානක් නම් ඕක x!! = (x!)! කියලා අරගන හදන්න එහෙම නැතිනම් complex විදියට Gamma Function අරගෙන තමයි හදන්න වෙන්නේ.

මං හිතුවෙ ලේසි ගාණක් කියල බං ඒකයි දැම්මෙ..

 

[20_18]

 

[imhotep]

Not only for non-integers but even to complex numbers as well!

 

[20_18]

Not only for non-integers but even to complex numbers as well!