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Prove that if the equation a(0)x^(n)+a...

Prove that if the equation
`a_(0)x^(n)+a_(1)x^(n-1)+….+ a_(n-1) x = 0 `
has a positive root `x_(0)` , then the equation
`na_(0)x^(n-1) +(n-1) a_(1)x^(n-2) +….+ a_(n-1) =0` has a positive root less than `x_(0)`.

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