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Real Number Resolution (Posted on 2015-08-08) Difficulty: 3 of 5
Find all real numbers A, B and C such that:

(A+1)*B*C =12, and:
(B+1)*A*C =4, and:
(C+1)*A*B =4

No Solution Yet Submitted by K Sengupta    
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that's all Comment 2 of 2 |
Given symmetry in eq 2 and 3, b=c.

Then from eq 1, A = 12/B^2 - 1
and from eq 2, A= 4/(B^2 + B)

Equate those values to get a cubic equation with roots (-2,-2,3) from which the full solution follows. 

  Posted by xdog on 2015-08-09 09:34:19
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