(1)x=-5-2根号6所以x^2+10x+1=0所以方程式＝0（2）化简得6x^2-5x(x^2-1)+(x^2-1)^2=0解得：(x^2-1-3x)(x^2-1-2x)=0x=3/2+根号13/2 ,3/2-根号13/2 ,1+根号2 ,1-根号2

1解：x=(√2+√3)/(√2-√3)=-(5+2√6)2√6=-5-x24=25+10x+x^X^+10x+1=0(x^+10x+1)^+2(x^+10x+1)=02.解：设t=x/(x^-1)3t+1/(2t)=5/26t^-5t+1=0T1=1/2,t2=1/3x/(x^-1)=1/2x1=1+√2,x2=1-√2x/(x^-1)=1/3x3=(3+√13)/2, x4=(3-√13)/23.解：a+b=2-m,a*b=1 a^+(m-2)a+1=0 a^+ma+1=2ab^+(m-2)b+1=0b^+mb+1=2b[a^+ma+1]*【b^+mb+1】=4ab=44.解：x+1/x=a+1/a 解得：x1=a,x2=1/ax+1/(x-1)=a+1/(a-1)(x-1)+1/(x-1)=(a-1)+1/(a-1)x1-1=a-1x2-1=1/(a-1) 解得：x1=a,x2=a/(a-1) 5.解：|8k+1|>|8k| ：|8k+1|>=0,|8k|>=0 两边平方，不等号的方向不变64k^+16k+1>64k^k>-1/16