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Let for some real numbers α and β , a = α – i β . If the system of equations 4 i x + (1 + i )y = 0 and y a x 3 2 sin 3 2 cos 8 + ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ π + π i has more than one solution, then β α is equal to

1. 3 2 + −
2. 3 2 −
3. 3 2 +
4. 3 2 − −

Correct answer: 3 2 −

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