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initial version

answered 13 years ago

god.one gravatar image

Hi, here is my code

%time
var('n,R,T')
eq1 = ((n-1)^2/(n+1)^2)==(-1-2*R+R^2-T^2+sqrt(4*T^2+(1-2*R+R^2-T^2)^2))/(2*R-4)
sol=solve(eq1,n,solution_dict=true)
test1 = (eq1.substitute(n=sol[0][n]))
test2 = test1.lhs()-test1.rhs()
test3 = expand(test2).full_simplify()
test3

and the glorious result

0
CPU time: 4575.08 s,  Wall time: 4601.30

I would like to thank DSM for pointing out that my previous attempt would not result into an integer and John Palmieri to extend the usable memory for the virtual machine.

click to hide/show revision 2
No.2 Revision

Hi, here is my code

%time
var('n,R,T')
eq1 = ((n-1)^2/(n+1)^2)==(-1-2*R+R^2-T^2+sqrt(4*T^2+(1-2*R+R^2-T^2)^2))/(2*R-4)
sol=solve(eq1,n,solution_dict=true)
test1 = (eq1.substitute(n=sol[0][n]))
test2 = test1.lhs()-test1.rhs()
test3 = expand(test2).full_simplify()
test3

and the glorious result

0
CPU time: 4575.08 s,  Wall time: 4601.30

I would like to thank DSM for pointing out that my previous attempt would not result into an integer and John Palmieri to extend the usable memory for the virtual machine.

Since this is a very special question and I got an answer now, should I delete it or which answer should get the answer check?