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Question
Form the quadratic equation if its roots are –3 and 4.
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Solution
Given that
α = -3, β = 4
∴ α + β = (-3) + 4 = 1
α.β = -3 x 4 = -12
∴ The quadratic equation which roots are α and β is
x2 - (α+β)x + αβ = 0
∴ x2 - x - 12 = 0
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