若(X十1/X)(X十1/X)=25/4,则(X一1/X)(X一1/X)的值为?
问题描述:
若(X十1/X)(X十1/X)=25/4,则(X一1/X)(X一1/X)的值为?
答
(x-1/x)(x-1/x)
=(x-1/x)^2
=(x+1/x)^2-4x(1/x)
=(x+1/x)^2-4
=25/4-4
=(25-16)/4
=9/4