SOLUTION: If a^2 + a + 1 = 0 , then one value of a^3 + 1 is equal to (1)0 (2)1 (3)2 (4)4 Please solve & explain

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Question 926837: If a^2 + a + 1 = 0 , then one value of a^3 + 1 is equal to
(1)0 (2)1 (3)2 (4)4
Please solve & explain
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
a=%28-1%2B-+sqrt%281-4%29%29%2F2
a=%28-1%2B-+sqrt%28-3%29%29%2F2

a%5E3%2B1=%28%28-1%2Bsqrt%28-3%29%29%2F2%29%5E3%2B1, and you just need to do the multiplication and simplifications. The choices you show do not seem right.