Solve using the quadratic formula x² – 4x + 1 = 0
x^{2} – 4x + 1 = 0
a = 1, b = - 4, c = 1
Taking (+)
= 4 + 2√3/2 = 2 + √3
∴ x = 2 + 1.732 = 3.732 Taking(-)
Or x = 4 - √12/2 = 4 - 2√3/2 = 2 - √3
∴ x = 2 – 1.732 = 0.268
Hence, x = 2 + √3 and 2 - √3 or 3.732 and 0.268.