Mathematics Complex Numbers

If for z = α + iβ, |z + 2| = z + 4(1 + i), then α + β and αβ are the roots of the equation  

1
x2 + 3x – 4 = 0
2
x2 + 7x + 12 = 0
3
x2 + x – 12 = 0
4
x2 + 2x – 3 = 0

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