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# if r@s = rs+r+s, then for what value of s is r@sm equal to r

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Manager
Joined: 05 Jul 2006
Posts: 198
Followers: 1

Kudos [?]: 24 [0], given: 0

if r@s = rs+r+s, then for what value of s is r@sm equal to r [#permalink]  06 Sep 2006, 10:54
if r@s = rs+r+s, then for what value of s is r@sm equal to r for all values of r?

-1
0
1
1/(r+1)
r
SVP
Joined: 05 Jul 2006
Posts: 1516
Followers: 5

Kudos [?]: 124 [0], given: 39

It is either i cant figure it out at all

or something is wrong about the question ...can you plz revise it
Manager
Joined: 22 Aug 2006
Posts: 57
Location: Moscow, Russia
Followers: 1

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

Re: Value of r [#permalink]  06 Sep 2006, 12:56
lan583 wrote:
if r@s = rs+r+s, then for what value of s is r@sm equal to r for all values of r?

-1
0
1
1/(r+1)
r

Apllying the defined operation we get:

find s such that

rsm+r+sm = r

holds for every r

since we know nothing about the "m" part of it, plugging in 1/-1/won't help 'cause m can still be anything and upset the equality.

only 0 works because them the 1st and 3rd terms are always zero and r=r, hich is always true

_________________

________________________________
"Amicus Plato, sed magic amica veritas"

SVP
Joined: 05 Jul 2006
Posts: 1516
Followers: 5

Kudos [?]: 124 [0], given: 39

I think C is the right answer and the clue is ( for all values of r)

because without this statment ( we could have assumed that r =zero

and thus we can never solve it
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