Given: x2 + 4x + 1 = 0
On comparing this equation with ax2 + bx + c = 0, we get:
a = 1, b = 4 and c = 1
We know that the discriminant of a quadratic equation, Δ = b2 – 4ac.
On substituting a = 1, b = 4 and c = 1, we get:
Δ = (4)2 – 4(1)(1)
Δ = 16 – 4 = 12