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Maharashtra State BoardSSC (English Medium) 10th Standard

Form the Quadratic Equation If Its Roots Are –3 and 4.

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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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2017-2018 (March) Set A

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