Question

一元六次方程有几个根谁知道

Answer 1

不算虚根,有0,1,2,3,4,5或6个

X^6+1=0 无解 0个

X^6=0 X=0 1个

X^6-1=0 X=1 X=-1 2个

X^2(X^2-1)(X^2+3)=0 X=-1,0,1 3个

(X^2+1)(X^2-1)(X^2-4)=0 X=-2,-1,1,2 4个

X^2(X^2-1)(X^2-4)=0 X=-2,-1,0,1,2 5个

(X^-1)(X^2-4)(X^2-9)=0 X=-3,-2,-1,1,2,3 6个