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Find Five Fractions (Posted on 2016-03-27) Difficulty: 4 of 5
There are already two puzzles on this site asking to find three real roots to an equation of the form:
(x^3+k*x)^(1/5) = (x^5-k*x)^(1/3)

The two puzzles are k=2 here and k=20 here.

I challenge you to find a rational value of k such that there are four nonzero rational roots to the equation above.

No Solution Yet Submitted by Brian Smith    
Rating: 4.0000 (2 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: Heuristic approach - spoilerSteve Herman2016-03-28 07:27:33
SolutionHeuristic approach - spoilerHarry2016-03-27 20:00:53
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