RPN - Solve

[Magnus512]

(10-06-2016 10:22 PM)roadrunner Wrote:  I believe Magnus is wondering why solve((x^2-6*x+(7/x)+p) = 0,x) returns empty brackets on the Prime while returning:

x = 2*(√(-3*(p-12))*cos((asin((3*(2*p-9)*√(3)/(2*(12-p)^(3/2))))/3)+(π/6))+3)/3

or

x = -2*(√(-3*(p-12))*sin((asin((3*(2*p-9)*√(3)/(2*(12-p)^(3/2))))/3)+(π/3))-3)/3

or

x = 2*(√(-3*(p-12))*sin((asin((3*(2*p-9)*√(3)/(2*(12-p)^(3/2))))/3))+3)/3

on the ti-nspire cx cas.

-road

Exactly, I mean why ?