"Solve" on polynomial equality results in expressions containing "Root"

*To*: mathgroup at smc.vnet.net*Subject*: [mg128518] "Solve" on polynomial equality results in expressions containing "Root"*From*: coder0xff at gmail.com*Date*: Fri, 26 Oct 2012 23:48:31 -0400 (EDT)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com*Delivered-to*: l-mathgroup@wolfram.com*Delivered-to*: mathgroup-newout@smc.vnet.net*Delivered-to*: mathgroup-newsend@smc.vnet.net

If I do Solve[y==3x^2-2x^3,x] I get expressions containing imaginary parts. If I set the domain to the Reals (Solve[y==3x^2-2x^3,x,Reals]) then I got stuff like Root[y - 3 #1^2 + 2 #1^3 &, 2]. I know there's a solution using only reals (since the range and domain are both real, and complex math is performed as operations on reals after all) How can I get it to give me the actual solution using only reals?

**Follow-Ups**:**Re: "Solve" on polynomial equality results in expressions***From:*Bob Hanlon <hanlonr357@gmail.com>