If alpha, beta are the roots of the equa...

If `alpha, beta` are the roots of the equation `x^(2)-px+q=0`, prove that `log_(e)(1+px+qx^(2))=(alpha+beta)x-(alpha^(2)+beta^(2))/(2)x^(2)+(alpha^(3)+beta^(3))/(3)x^(3)-...`

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