Find the quadratic equation whose one root is 3 and the sum of roots is 0.
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Answer:
Let one root be α and other be β
By given condition,
α = √3
α + β = 0
∴ β = -√3
∴ Quadratic equation = k[ x² - (α + β)x + αβ]
= k[ x² - 0x -3]
= k[ x² -3] = 0
∴ Quadratic equation = k[ x² -3] = 0 where k is constant.
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Answer:
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