已知x+x分之一=1½,求x四次方-x²+1分之3x²
问题描述:
已知x+x分之一=1½,求x四次方-x²+1分之3x²
答
3x^2/(x^4-x^2+1)
=3/(x^2+1/x^2-1)
=3/[(x+1/x)^2-2-1]
=3/[9/4-3]
=3/(-3/4)
=-4