证明方程1/(x-1)+1/(x-2)+1/(x-3)=0有分别包含于(1,2)(2,3)内的两个实根

问题描述:

证明方程1/(x-1)+1/(x-2)+1/(x-3)=0有分别包含于(1,2)(2,3)内的两个实根
如题

令f(x)=(x-1)(x-2)+(x-2)(x-3)+(x-1)(x-3)
又因为f(1)>0,f(2)