If the equation a_n x^n+a_n-1 x^n-1+… …+a_1 x=0, a_1 ≠ 0, n ≥ 2 , has a positive root x=α , then the equation n a_n x^n-1+(n-1) a_n-1 x^n-2+……

Question

If the equation a_n x^n+a_n-1 x^n-1+… …+a_1 x=0, a_1 ≠ 0, n ≥ 2 , has a positive root x=α , then the equation n a_n x^n-1+(n-1) a_n-1 x^n-2+… . .+a_1=0 has a positive root, which is

MARKS Content Team · Accepted Answer

Correct answer: (B) smaller than α. f(0)=0, f(α)=0 ⇒ f^′(k)=0 for some k ∈(0, α)

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

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