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# PARANOID EQUATION

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SVP
Joined: 03 Feb 2003
Posts: 1607
Followers: 7

Kudos [?]: 87 [0], given: 0

PARANOID EQUATION [#permalink]  30 Aug 2003, 23:14
Solve the equation: (R!)!+|R|=2R
Manager
Joined: 14 Aug 2003
Posts: 88
Location: barcelona
Followers: 1

Kudos [?]: 0 [0], given: 0

R! is only defined for R>=0, so we can rewrite the equation as
R!!+R=2R or R!!=R
solving we get R=1 and R=2
SVP
Joined: 03 Feb 2003
Posts: 1607
Followers: 7

Kudos [?]: 87 [0], given: 0

what other people think?
Manager
Joined: 14 Aug 2003
Posts: 88
Location: barcelona
Followers: 1

Kudos [?]: 0 [0], given: 0

ups! that doesnt sound as good as "correct"
Intern
Joined: 11 Jul 2003
Posts: 3
Location: USA
Followers: 0

Kudos [?]: 0 [0], given: 0

R!!+R=2R -------(1)
or
R!!-R=2R---------(2)

solving (1) gives R!!=R
and solving (2) gives R!!=3R

How can anything satisfy both these equations? Cannot think of any possible values
Intern
Joined: 17 Aug 2003
Posts: 38
Location: USA
Followers: 0

Kudos [?]: 1 [0], given: 0

I get the same thing as Jav.

R=1 or R=2
Intern
Joined: 10 Aug 2003
Posts: 3
Location: Mumbai
Followers: 0

Kudos [?]: 0 [0], given: 0

And hey 0!! = 0 too!!!!...So, the list of values will be 0,1,2 that will satisfy this condition.

Correct me if wrong.
Anand
Manager
Joined: 03 Jun 2003
Posts: 84
Location: Uruguay
Followers: 1

Kudos [?]: 0 [0], given: 0

Anand Kannan Posted: Tue Sep 02, 2003 10:06 am Post subject:

--------------------------------------------------------------------------------

And hey 0!! = 0 too!!!!...So, the list of values will be 0,1,2 that will satisfy this condition.

Correct me if wrong.
Anand

0 Cannot be a correct answer. 0! = 1, 1!= 1 + 0 = 1 not equal to 2*0 = 0

For me answers 1 and 2
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# PARANOID EQUATION

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