Let $r, s,$ and $t$ be solutions to the equation $2x^3 - 3x^2 + 4x - 1 = 0$. Find $r^2+s^2+t^2$.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Let $r, s,$ and $t$ be solutions to the equation $2x^3 - 3x^2 + 4x - 1 = 0$. Find $r^2+s^2+t^2$.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
-\frac{7}{4}
Let $r, s,$ and $t$ be solutions to the equation $2x^3 - 3x^2 + 4x - 1 = 0$. Find $r^2+s^2+t^2$.
train