Re: Using FindRoot

*To*: mathgroup at smc.vnet.net*Subject*: [mg24867] Re: [mg24862] Using FindRoot*From*: BobHanlon at aol.com*Date*: Sat, 19 Aug 2000 04:45:44 -0400 (EDT)*Sender*: owner-wri-mathgroup at wolfram.com

In a message dated 8/16/2000 3:42:05 AM, kd7cyb at mac.com writes: >Can you solve the exact answer (meaning as close as possible that >equally satisfies both sides with the same result) to equations like >these below using FindRoot, and how? Or do you use a better function? > > >(*Can FindRoot get the closest answer possible to this equation or ones >like it below?*) > >x^2==x^3 >(*OR*) >x^2==x > eqn = (x^2 == x^3); Solve[eqn, x] {{x -> 0}, {x -> 0}, {x -> 1}} NSolve[eqn, x] {{x -> 0.}, {x -> 1.}} Roots[eqn, x] x == 1 || x == 0 || x == 0 Reduce[eqn, x] x == 0 || x == 1 FindRoot[eqn, {x, #}] & /@ {0.1, 1.1} {{x -> 0.0007006044051493954}, {x -> 1.0000004089369072}} FindMinimum[Abs[x^3 - x^2], {x, #}][[2]] & /@ {{0.1, 0.2}, {1.1, 1.2}} {{x -> -8.522617184550385*^-8}, {x -> 1.0000000118290961}} Bob Hanlon