Re: a + b = c + d where a^2 + b^2 = c^2 + d^2.
- To: mathgroup at smc.vnet.net
- Subject: [mg33570] Re: [mg33544] a + b = c + d where a^2 + b^2 = c^2 + d^2.
- From: BobHanlon at aol.com
- Date: Sun, 31 Mar 2002 04:09:36 -0500 (EST)
- Sender: owner-wri-mathgroup at wolfram.com
In a message dated 3/29/02 7:35:04 AM, veezdREMOVETHIS at hotmail.com writes:
>I tried to find solutions for a + b = c + d where a^2 + b^2 = c^2 +
>d^2.
>
>I tried the following, but that gave no results:
>In[3]:=
>\!\(\(eqns = {a\ + \ b == c + d, a\^2 + b\^2 == c\^2 + d\^2};\)\)
>
>In[7]:=
>SolveAlways[eqns, {a, b, c, d}]
>
>Out[7]=
>{}
>
>Does anyone have an idea how to handle this problem with mathematica?
>
Solve[{a+b==c+d,a^2+b^2==c^2+d^2}, {a,b}]
{{a -> c, b -> d}, {a -> d, b -> c}}
Bob Hanlon
Chantilly, VA USA