Solveeit Logo
Login

Question

Question: If the equation a<sub>n</sub>x<sup>n</sup> + a<sub>n–1</sub>x<sup>n–1</sup> + ..... + a<sub>1</sub> ...

If the equation anxn + an–1xn–1 + ..... + a1 x = 0 ; a1¹ 0, n ³ 2, has a positive root x = a, then the equation nanxn–1 +(n–1)an–1 xn–2 + ...+a1 = 0 has a positive root, which is –

A

Greater than a

B

Smaller than a

C

Greater than or equal to a

D

Equal to a

Answer

Smaller than a

Explanation

Solution

Rolle's theorem. The root will be (0, a) so less than a