X²-X-2=0,则(X²-X+2√3)/[(X²-X)²-1+√3]=?A2√3/3 B√3/3 C√3 D√3/3或√3

X²-X-2=0,则(X²-X+2√3)/[(X²-X)²-1+√3]=?A2√3/3 B√3/3 C√3 D√3/3或√3
X²-X-2=0,则(X²-X+2√3)/[(X²-X)²-1+√3]=?
A2√3/3 B√3/3 C√3 D√3/3或√3

X²-X-2=0,则(X²-X+2√3)/[(X²-X)²-1+√3]=?A2√3/3 B√3/3 C√3 D√3/3或√3
[x²-x+2√3]/[(x²-x)²-1+√3]
=[x²-x-2+2+2√3]/[(x²-x-2+2)²-1+√3]
=[0+2+2√3]/[(0+2)²-1+√3]
=(2+2√3)/(3+√3)
去分母,同乘（3-√3）
=[(2+2√3)（3-√3）]/[(3+√3)（3-√3）]
=4√3/6
=2√3/3