perplexus.info :: Just Math : Real Number Resolution

Real Number Resolution (Posted on 2015-08-08)

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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