If $$a^{2} + a+ 1 = 0$$, then the value of $$a^{9}$$ is
Expression : $$a^{2} + a+ 1 = 0$$
Multiplying both sides by $$(a-1)$$ , we get :
=> $$(a-1)(a^2 + a + 1) = 0$$
=> $$a^3 - 1 = 0$$
=> $$a^3 = 1$$
Cubing both sides
=> $$a^9 = 1$$
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