100(x+1)²-100(1+x)=24怎么解
问题描述:
100(x+1)²-100(1+x)=24怎么解
答
设1+x=t
则100t^2-100t-24=0
25t^2-25t-6=0
(5t+1)(5t-6)=0
t1=-1/5
t2=6/5
则x1+1=-1/5-->x1=-6/5
x2+1=6/5-->x2=1/5
所以x=1/5 或-6/5