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