Simplifying Complex expression
- To: mathgroup at smc.vnet.net
- Subject: [mg43004] Simplifying Complex expression
- From: Helge Andersson <helge at envic.chalmers.se>
- Date: Fri, 8 Aug 2003 00:26:20 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
Hello I'm interested in one of the solution to the the following equation: y=3 x^2-2 x^3 in the x-intervall 0 to 1 and for y-values between 0 and 1 With Solve I got three solutions where two of them are complex in general. However, it is possible to plot each of them Using the Plot-command in the desired domain which I interpretate as they are real-valued with my specific conditions. My problem is to simplify the general complex solution to one that is real in the domain 0 to 1. The solution that I specifically is interested in is the following given in InputForm: 1/2 - (1 - I*Sqrt[3])/(4*(1 + 2*Sqrt[-1 + y]*Sqrt[y] - 2*y)^(1/3)) - ((1 + I*Sqrt[3])*(1 + 2*Sqrt[-1 + y]*Sqrt[y] - 2*y)^(1/3))/4 Could someone give me an idea to perform this (for example with Simplify Command) /Helge Chalmers University of Technology Sweden