If the equstion a_nx^n+a_n-1x^n-1+...+a_1x=0, a_1 0,n 2, has posi… - Vidyadip

MCQ

If the equstion $\text{a}_\text{n}\text{x}^\text{n}+\text{a}_\text{n-1}\text{x}^\text{n-1}+...+\text{a}_1\text{x}=0,$
$\text{a}_1\neq0,\text{n}\geq2,$ has positive root $\text{x}=\alpha$ then the eqestions
$\text{na}_\text{n}\text{x}^\text{n-1}+(\text{n-1})\text{a}_\text{n-1}\text{x}^\text{n-2}+...+\text{a}_1=0$ has a positive root, which is:

A
equal to $\alpha$
B
greater than or equal to $\alpha$
✓
smaller than $\alpha$
D
greater than $\alpha$

✓

Answer

Correct option: C.

smaller than $\alpha$

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