-1/6(3T-3/2)^2+11/6(3t-3/2)=2 求t
问题描述:
-1/6(3T-3/2)^2+11/6(3t-3/2)=2 求t
答
(-1/6)*(3t-3/2)²+(11/6)*(3t-3/2)=2
-(3t-3/2)²+11(3t-3/2)=12
(3t-3/2)²-11(3t-3/2)+12=0
(3t-3/2)²-11(3t-3/2)+121/4=73/4
(3t-3/2-11/2)²=73/4
(3t-7)²=73/4
3t-7=±√73/2
3x=7±√73/2
x=(14±√73)/6