解一元三次方程2t^3-3t^2+3t-1=0解一元三次方程2t^3-3t^2+3t-1=0

Question

解一元三次方程 2t^3-3t^2+3t-1=0
解一元三次方程
2t^3-3t^2+3t-1=0

Answer 1

2t^3-t^2-2t^2+t+2t-1=0
t^2(2t-1)-t(2t-1)+(2t-1)=0
(2t-1)(t^2-t+1)=0
2t-1=0,得t=1/2
t^2-t+1=0,无实根
故方程只有一个实根t=1/2