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If the equation a0x^n +a1x^(n-1) +....a(...

If the equation `a_0x^n +a_1x^(n-1) +....a_(n-1)x=0` has a positive root `alpha` prove that the equation `na_0x^(n-1) +(n-1)a_1 x^(n-2) + ---+a_(n-1) = 0` also has a positive root smaller than `alpha`

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