MathematicsMedium175×since 2002Q2693If the equation anxn+an−1xn−1+...........+a1x=0{a_n}{x^n} + {a_{n - 1}}{x^{n - 1}} + ........... + {a_1}x = 0anxn+an−1xn−1+...........+a1x=0 a1≠0,n≥2,{a_1} \ne 0,n \ge 2,a1=0,n≥2, has a positive root x=αx = \alphax=α, then the equation nanxn−1+(n−1)an−1xn−2+...........+a1=0n{a_n}{x^{n - 1}} + \left( {n - 1} \right){a_{n - 1}}{x^{n - 2}} + ........... + {a_1} = 0nanxn−1+(n−1)an−1xn−2+...........+a1=0 has a positive root, which isAgreater than α\alphaαBsmaller than α\alphaαCgreater than or equal to smaller than α\alphaαDequal to smaller than α\alphaαCheck answerSkip