Re: Eliminate

• To: mathgroup at smc.vnet.net
• Subject: [mg116170] Re: Eliminate
• From: Matthias Bode <lvsaba at hotmail.com>
• Date: Fri, 4 Feb 2011 01:37:50 -0500 (EST)

```I'm afraid you can't, Francisco:

In[1]:= MemberQ[{{x, y,
z} == {(v + w)*(b^2*v^4 - a^2*v^3*w + 3*b^2*v^3*w + c^2*v^3*w -
3*a^2*v^2*w^2 + 3*b^2*v^2*w^2 + 3*c^2*v^2*w^2 -
a^2*v*w^3 + b^2*v*w^3 +
3*c^2*v*w^3 + c^2*w^4), (-w)*((-b^2)*v^4 -
2*b^2*v^3*w - a^2*v*w^3 +
b^2*v*w^3 + c^2*v*w^3 + c^2*w^4), (-v)*(b^2*v^4 -
a^2*v^3*w + b^2*v^3*w +
c^2*v^3*w - 2*c^2*v*w^3 - c^2*w^4)}}, t]

Out[1]= False

MATTHIAS BODE
S 17.35775=B0, W 066.14577=B0
2'740 m
AMSL.

> Date: Thu, 3 Feb 2011 05:29:59 -0500
> From: garciacapitan at gmail.com
> Subject: [mg116138] Eliminate
> To: mathgroup at smc.vnet.net
>
> Dear friends, how can I eliminate t from the equations
>
> {x,y,z}=={(v + w) (b^2 v^4 - a^2 v^3 w + 3 b^2 v^3 w + c^2 v^3 w -  3 a^2
> v^2 w^2 + 3 b^2 v^2 w^2 + 3 c^2 v^2 w^2 - a^2 v w^3 +
>     b^2 v w^3 + 3 c^2 v w^3 + c^2 w^4),
>  -w (-b^2 v^4 - 2 b^2 v^3 w - a^2 v w^3 + b^2 v w^3 + c^2 v w^3 + c^2 w^4),
> -v (b^2 v^4 - a^2 v^3 w + b^2 v^3 w + c^2 v^3 w - 2 c^2 v w^3 - c^2 w^4)}
>
> Many thanks
>
> --
> ---
> Francisco Javier Garc==EDa Capit==E1n
> http://garciacapitan.auna.com

```

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