已知x+x分之1=1又2分之1,求x的4次方-x的2次方+1分之3x的2次方的值

2024-12-28 17:01:45
推荐回答(1个)
回答1:

x+(1/x)=3/2

(3x^2)/(x^4-x^2+1)
=3/[x^2+(1/x)^2-1]
=3/[(x+1/x)^2-2-1]
=3/[(x+1/x)^2-3]
=3/(9/4-3)
=3/(-3/4)
=-4