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Quadratic and Five Variable Query (Posted on 2015-12-20) Difficulty: 3 of 5
Find real numbers A,B,C,D and E that satisfy this system of equations:

(A-B+C)2 = B(D+E-B), and:
(B-C+D)2 = C(E+A-C), and:
(C-D+E)2 = D(A+B-D), and:
(D-E+A)2 = E(B+C-E), and:
(E-A+B)2 = A(C+D-A)

No Solution Yet Submitted by K Sengupta    
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Some Thoughts simple solutions | Comment 1 of 2
Any values where
A=B=C=D=E
make the equations all become
A²=A²
so there's one infinite class of solutions.

There may be others but if so I haven't found the trick.

  Posted by Jer on 2015-12-20 15:48:24
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