Question

哪位大神帮小弟解个四次方程x^4-3x^3+3x^2-2=0

Answer 1

x^4-3x^3+3x^2-2=0

(x^2-x-1)(x^2-2x+2)=0

[(x-1/2)^2-5/4][(x-1)^2+1]=0

x1,x2=(1±√5)/2

x3,x4=1±i