Mathematics - Application of Derivative Question with Solution | TestHub

If the equation $a_n{x}^n+a_{n-1}{x}^{n-1}+\dots \dots +a_{1}x=0,a_1\ne 0,n\ge 2$, has a positive root $x=\alpha$, then the equation $n{a}_n{x}^{n-1}+(n-1)a_{n-1}{x}^{n-2}+\dots ..+a_1=0$ has a positive root, which is