若X²-X-2=0,则（X²-X）²-1+根号3分之X²-X+2根号3的值等于
问题描述：
若X²-X-2=0,则（X²-X）²-1+根号3分之X²-X+2根号3的值等于
答
∵X²-X-2=0∴x²-x=2（X²-X）²-1+根号3分之X²-X+2根号3=[(x²-x+2√3]/[(x²-x)²-1+√3]=(2+2√3)/(4-1+√3)=(2+2√3)(3-√3)/(3+√3)(3-√3)=(6+6√3-2√3-6)/(9-3)=4√3/6=2...