解方程x^4-2x^2根号3-x+3-根号3=0

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解方程x^4-2x^2根号3-x+3-根号3=0解方程x^4-2x^2根号3-x+3-根号3=0解方程x^4-2x^2根号3-x+3-根号3=0X^4-2√3X²-X+3-√3=0(X

解方程x^4-2x^2根号3-x+3-根号3=0
解方程x^4-2x^2根号3-x+3-根号3=0

解方程x^4-2x^2根号3-x+3-根号3=0
X^4-2√3X²-X+3-√3=0
(X²-X-√3)(X²+X+1-√3)=0
X²-X-√3=0或X²+X+1-√3=0
X²-X-√3=0
(X-1/2)²=√3+1/4
X=±根号下(√3+1/4)+1/2
X²+X+1-√3=0
(X+1/2)²=√3-3/4
X=±根号下(√3-3/4)-1/2
X的值为±根号下(√3+1/4)+1/2和±根号下(√3-3/4)-1/2