rootof ???

[parisse]

(09-04-2014 07:08 PM)phgerin Wrote:  Hello,
Can you explain what is an "algebraic extension" ? Or a link ?

I recommend reading first about algebraic number.

Quote:also, solve(x^2-2*x+((-1-i)*x)/sqrt(2)+(2+2*i)/2,x) crashes the calculator.

Seems to be solved with the patch I'm implementing for rewriting the rootof above.
l:=csolve(x^2-2*x+((-1-i)*x)/sqrt(2)+(2+2*i)/2,x)
giac returns a rather complicated answer
list[1/72*(sqrt(2)*(18+18*i)+18*sqrt(2*sqrt((sqrt(2)*2-3)^2+8)+sqrt(2)*4)*((i)*(sqrt(2)*2592-3888)/(1296*sqrt((sqrt(2)*2-3)^2+8)+sqrt(2)*2592)+1)+72),1/72*(sqrt(2)*(18+18*i)-18*sqrt(2*sqrt((sqrt(2)*2-3)^2+8)+sqrt(2)*4)*((i)*(sqrt(2)*2592-3888)/(1296*sqrt((sqrt(2)*2-3)^2+8)+sqrt(2)*2592)+1)+72)]