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Cubic Equation (
Posted on 20130609
)
Determine all triplets (a,b,c) of
nonzero integers
satisfying:
987654321*a + 123456789*b + c = (a + b + c)
^{3}
Prove that there are no others.
No Solution Yet
Submitted by
K Sengupta
No Rating
Comments: (
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re(3): an open letter to Charlie
 Comment 12 of 13 
(In reply to
re(2): an open letter to Charlie
by Charlie)
Charlie:
I guess that my substitution, x = a + b + c would speed things up.
This leads to:
987654320*a + 123456788*b = x^3  x
And now the equation is linear for any given x.
Posted by
Steve Herman
on 20130613 00:27:29
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