find the zeros of the polynomial x^2+x-p(p+1)
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➡ x² + x - p(p + 1)
➡ x² + (p + 1)x - px - p(p + 1) = 0
➡ x(x - p) + (p + 1) (x - p) = 0
➡ (x + p + 1) ; (x - p) = 0
➡ x + (p + 1) = 0 ; x - p = 0
➡ x = 0 - (p + 1) ; x = 0 + p
➡ x = - (p + 1) ; x = p
Therefore, x = - (p + 1) & p
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