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Let α , β be the roots of the equation x 2 – 2 x + 6 = 0 and 2 1 α + 1, 2 1 β + 1, 2 1 β + 1 be the roots of the equation x 2 + ax + b = 0. Then the roots of the equation x 2 – (a + b – 2)x + (a + b + 2) = 0 are

1. non-real complex number
2. real and both negative
3. real and both positive
4. real and exactly one of them is positive

Correct answer: real and both negative

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