How does Solve works ??
- To: mathgroup at smc.vnet.net
- Subject: [mg80183] How does Solve works ??
- From: Ravinder K Banyal <r.banyal at neu.edu>
- Date: Tue, 14 Aug 2007 07:08:04 -0400 (EDT)
Hi,
I am just a beginner in Mathematica.
I have two simple equations as follows:
e1=n^2-k^2;
e2=2 n*k;
If I solve for n and k, I should get
n = (e1 + (e1^2 + e2^2)^1/2)^1/2 * sqrt(1/2)
k = (-e1 + (e1^2 + e2^2)^1/2)^1/2 * sqrt(1/2)
However when I use mathematica (ver 5.1) to solve the above equations I
do not get the intended results.
Solve[e1 -n^2+k^2 = = 0, e2-2n*k = = 0, {n,k}]
None of the four roots generated by mathematica matches with above results.
Any comment please.....
Regards,
-ravi