化简x=(√2+√3)/(√2-√3)=(√2+√3)^2/(√2-√3)(√2+√3)=-(√2+√3)^2=-(2+2√6+3)=-(5+2√6)=-5-2√6,所以x+5=-2√6,两边平方得,(x+5)²=(-2√6)²整理:x^2+10x+25=24所以x²+10x+1=0,代人,得,﹙X2+10X+1)2+2X2+20X+2=﹙X^2+10X+1)^2+2(X^2+10X+1)=0