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Question
Find the sum and product of the roots for the following quadratic equation:
x2 + 3x – 28 = 0
Sum
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Solution
x2 – (–3)x + (–28) = 0.
Comparing this with x2 – (α + β)x + αβ = 0.
(α + β) = Sum of the roots = –3
αβ = product of the roots = –28
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