The sum of the roots of the equation $e^{4 t}-10 e^{3 t}+29 e^{2 t}-20 e^t+4=0$ is

Statement I The set of solutions of $|x|^2-4|x|+3<0$ is the interval $(-3,3)$

Statement II If $x<3$ or $x>5$, then $x^2-8 x+15>0$

Which of the above statements is (are) true?

If $6 x-x^2+12$ attains its extreme value $\beta$ at $x=\alpha$, then $\beta=$

Let $a$ be a common root of the equations $x^3-2 x-25 \lambda=0,3 x^3-8 x-\frac{175}{3} \lambda=0$ and $\lambda>0$. Then, $\lambda=$