解:?$4x^2-2x - 1 = 0$?
?$x^2-\frac {1}{2}x=\frac {1}{4}$?
?$x^2-\frac {1}{2}x+\frac {1}{16}=\frac {1}{4}+\frac {1}{16}$?
?$(x-\frac {1}{4})^2=\frac {5}{16}$?
?$x-\frac {1}{4}=±\frac {\sqrt 5}4$?
?$x_{1}=\frac {1 + \sqrt {5}}{4},$??$x_{2}=\frac {1 - \sqrt {5}}{4}$?