Root 4,....... are the roots of the equation

1) x² – 4 = 0

2) x² – 4x + 6 = 0

3) x² – 5x + 4 = 0

4) x³ – 3x + 2 = 0

Solution: (3) x² – 5x + 4 = 0

It is given that
are the roots of the derived equation.

x² – 5x + 4 + 4^{1/2 +¼+⅛+1/16+…….} = 0

x² – 5x + 4 = 0