Question
if x satisfies 3x² – 5x – 12 = 0, find the sum of
reciprocals of roots.Solution
ATQ,
For roots α, β: (1/α + 1/β) = (α + β)/(αβ) α + β = 5/3 αβ = –12/3 = –4 Sum = (5/3)/(-4) = –5/12
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