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How to find a if I know b and a*2(a-1) = b

 May 6, 2019
 #1
avatar+28076 
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Here are a couple of possibilities:

 

 May 6, 2019
 #2
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Thank you! BTW, can you tell me, from which software is this screenshot? I found same answer (Lambert W formula) hidden somwhere in plot graph on Wolfram Alpha, but with no steps shown. I'curious how to go from one formula to second one.

Guest May 7, 2019
edited by Guest  May 7, 2019
 #3
avatar+28076 
+3

I used Mathcad to generate the result.  The two approaches are not related.  For the first, search for LambertW, for the second, search for Newton-Raphson (Wikipedia will give details for both).

Alan  May 7, 2019

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