If a2 – 4a – 1 = 0, then value of a2 +

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a² – 4a – 1 = 0
⇒ a² – 1 = 4a
On dividing by a, we have

a -	1	= 4
	a

∴ a² +	1	+ 3		a -	1
	a²				a

=		a -	1		²	+ 2 + 3		a -	1
			a						a

= 16 + 2 + 3 (4) = 30

If a² – 4a – 1 = 0, then value of a² +	1	+ 3a –	3	is
	a²		a