If 2-i 3 where i= -1 is a root of the equation x^2+ax+b=0, then what is the value of (a+b)?

NDA 2023 Mathematics question

If where is a root of the equation , then what is the value of ?

Answer: (D)

With real coefficients, complex roots occur in conjugate pairs, so the other root is .

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Question ID VK-029542