x^2-2x+4=0 complete the square

 हल:- Given equation is x^2-2x+4=0

x^2-2×x×1+(1)^2+3=0

(x-1)^2+3=0

(x-1)^2=-3

This equation is not true because 

LHS =(x-1)^2=positive

RHS=-3=negative 

We know that negative is not equal to positive so this quadratic equation have no root.