A.B. and C.
posted by Rajesh Lal at
9:27 PM
Tuesday, September 9, 2008
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14 Comments:
7744 = 88^2
A=1
B=1
C=1
AABB=CC^2
(1)(1)(1)(1)=(1)(1)^2
1=1
Happy?
no anon, not happy.
its asking for the answer hagar gave, AABB=CC^2, not (A)(A)(B)(B)=(C)(C)^2
effort
A,B and C must be different because they are different variables
hence hagars answer
jeez problem solved
Actually, the first Anonymous answer would be valid. AABB=CC^2 is an algebraic expression and is equivalent to A*A*B*B=C*C*C.
Just because A, B and C are different variables, it does not mean that they have to represent different values, however that is usually the case. With that in mind, there are many possible solutions to this expression, but the one that I have found with the smallest possible integers replacing the variables is A=1, B=8 and C=4.
Thus:
1*1*8*8=4*4*4
or
64=64
Nuff Said.
I must say - I am not impressed with the level of creativity here...
Nothing in the problem said that A, B, and C had to be digits. Noting in Algebra, and certainly nothing in Computer Science, says that two variables have to be different.
After my answer I expected a flurry of solutions such as A=i, B=sqrt(i), C=i, (does that really work?) not to mention the other obvious ones involving 1 and/or 0.
How about something like A=e^(2pi/3), B=e^(4pi/3), C=1 ...?
a squared plus bsquared + c squared pythagreon theorom
In nornal algebraic notation the equation is "1100A + 11B = 121C^2" or "100A + B = 11C^2". The only single digit value that gives a number of the right patern is 8. This gives 88^2 = 7744.
A
first off all its a^ + b^ = c^.
second, its Pythagoras theorem.
Third, that's not what the question asked.
And i thought in algebra two variables next to each other meant they were multiplied by each other?
eg.
a * b = ab
but then again, who said this is algebraic? o.O
in a mathmatic equation, varaibles can all be the same number, so
a=1
b=1
c=1
Hagars answer is incorrect, as AABB means A*A*B*B
plus questions like this are ment for people with a basic understanding, not some 10th year university understanding, point colsed
no in simplifying it would be ab2=c3
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