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Question

If 3 - 5i is one root of the equation - x2 + ax + b = 0, find a + b, where a,b∈ R


A

24

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B

-34

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C

-28

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D

34

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Solution

The correct option is C

-28


Complex roots occur in conjugate pairs.

Since the coefficients are all real, the other root will be conjugate of 3 - 5i i.e. 3 + 5i

Sum of roots = 3 - 5i + 3 + 5i

a1 = 6

⇒ a = 6

Products of roots = (3 - 5i) × (3 + 5i)

b1 = 9 + 25

b = - 34

a+b= -28


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