If 1 – i, is a root of the equation x2 + ax + b = 0, where a, b ∈ – InterviewSolution

1.

If 1 – i, is a root of the equation x2 + ax + b = 0, where a, b ∈ R, then find the values of a and b.

Answer»

Sum of roots -a/1 = (1 – i) + (1 + i) ⇒ a = – 2.

(since non real complex roots occur in conjugate pairs)

Product of roots, b/1 =(i-1)(i+1)⇒ b = 2

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