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If the equation<br> $a_n\; x^n + a_{n-1}\; x^{n-1} + ....+ a_1x = 0$, <br> $a_1 \neq 0, n \geq 2$, has a positive root $x=\alpha$, then the equation <br> $n a_n x^{n-1} + (n-1) a_{n-1}\; x^{n-2} + . . . + a_1 = 0$ has a positive root, which is :

( A ) greater than $\alpha$
( B ) smaller than $\alpha$
( C ) greater than or equal to $\alpha$
( D ) equal to $\alpha$

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