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Cycles of roots as coefficients (Posted on 2022-06-16) Difficulty: 3 of 5
Part 1:
Find any and all quadratic functions
f(x)=x2+bx+c with roots {b,c}.

Part 2:
Find any and all pairs of quadratic functions
f1(x)=x2+b1x+c1 with roots {b2,c2} and
f2(x)=x2+b2x+c2 with roots {b1,c1}.

Part 3:
Find any and all trios of quadratic functions
f1(x)=x2+b1x+c1 with roots {b2,c2},
f2(x)=x2+b2x+c2 with roots {b3,c3}, and
f3(x)=x2+b3x+c3 with roots {b1,c1}.

No Solution Yet Submitted by Jer    
Rating: 5.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Some ThoughtsConjecture about General NK Sengupta2022-06-16 08:06:42
Some ThoughtsPuzzle Thoughts: Part 3K Sengupta2022-06-16 07:53:17
SolutionPuzzle Solution: Part 2K Sengupta2022-06-16 07:29:34
SolutionPuzzle Solution: Part 1K Sengupta2022-06-16 07:13:17
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