If a2 + a + 1 = 0 , then the value of a5 + a4 + 1 is :

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a² + a + 1 = 0

⇒	a² + a + 1	= 0
	a

⇒ a + 1 +	1	= 0 ....(i)
	a

Expression = a⁵ + a⁴ + 1 = a⁴(a + 1) + 1

Expression = a⁴		-	1		+ 1
			a

Expression = -a³ + 1 = 1 - a³
Expression = (1 – a) (1 + a + a²)
Expression = (1 – a) × 0 = 0