Task 908
Task 908: development task in emrekuruu/math-openenv, an RL environment on the Hugging Face Hub. The three roots of the cubic $ 30 x^3 - 50x^2 + 22x - 1$ are distinct real numbers strictly between $ 0$ and $ 1$. If the roots are $p$, $q$, and $r$, what is the sum \ \frac{1}{1-p} + \frac{1}{1-q}…
The task
The three roots of the cubic $ 30 x^3 - 50x^2 + 22x - 1$ are distinct real numbers strictly between $ 0$ and $ 1$. If the roots are $p$, $q$, and $r$, what is the sum \[ \frac{1}{1-p} + \frac{1}{1-q} +\frac{1}{1-r} ?\]