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Unsolvable Equation?

  • Thread starter creeve4
  • Start date
Solve for x:

x=d/(1-COS(L/(2*x)))

where L=28 and d=0.2


I have been able to get x~490 by "guessing" values for x and computing, then repeating until both sides are equal.

There must be a better way, although neither my TI-89 nor Mathematica are able to do it.
 
32,575
4,306
It's unsolvable by algebraic methods. The best you can do is to use numerical techniques to get approximate values.
 
2,013
482
When I solve this numerically with Maple I get x = 1.0618829.
 

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