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Digital Combo-Lock (Posted on 2010-12-30) Difficulty: 4 of 5

No Solution Yet Submitted by brianjn    
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re(2): a method | Comment 5 of 6 |
(In reply to re: a method by brianjn)

I'm sure it's possible, as an example if there were only 3 points:
(0,0), (1,2), and (2,1)
f(x)= a + b*x + c*x^2
3 equations, 3 unknowns

f(x) = 3.5*x - 1.5*x^2 hits all 3 points

so it should be possible with a 9 by 9 matrix instead of 3 by 3

But, again, it wouldn't be a very pretty solution or a simple equation; and I'm suspecting it doesn't fit the format you're looking for.

Edited on December 31, 2010, 12:44 am
  Posted by Larry on 2010-12-31 00:41:39

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