if sum of the zeroes of 5x^2+(p+q+r)x+pqr is zero,then find p^3+q^3+r^3
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Let α,β and γ be the roots of the equation x3+px2+qx+r=0
Given that, α+β=0
We have α+β+γ=−p
Thus γ=−p
Substituting γ=−p in the given equation,
⇒−p3+p3−pq+r=0
⇒pq=r
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