Lös p_{xi}(x)=3x^2-2x0<x<1H

$$p _ { \xi } ( x ) = 3 x ^ { 2 } - 2 x 0 < x < 1 H$$

Lös ut x

$$\left\{\begin{matrix}x\in \left(\frac{-\sqrt{24x_{0}+1}+1}{6},\frac{\sqrt{24x_{0}+1}+1}{6}\right)\text{, }&H>\frac{1}{6}\text{ and }x_{0}\leq \frac{3H^{2}-H}{2}\text{ and }x_{0}>-\frac{1}{24}\\x\in \left(\frac{-\sqrt{24x_{0}+1}+1}{6},H\right)\text{, }&\left(x_{0}>\frac{3H^{2}-H}{2}\text{ and }H<\frac{\sqrt{24x_{0}+1}+1}{6}\text{ and }x_{0}>-\frac{1}{24}\right)\text{ or }\left(H<\frac{\sqrt{24x_{0}+1}+1}{6}\text{ and }x_{0}>-\frac{1}{24}\text{ and }H\geq \frac{1}{6}\right)\end{matrix}\right,$$

Lös ut x_0

$$x_{0}>\frac{x\left(3x-1\right)}{2}$$

$$x<H$$