Find All Real Solutions of the Equation $$x ^ { 2 } - \sqrt { 29 } x + 1 = 0$$

Multiple Choice

Find all real solutions of the equation. $$x ^ { 2 } - \sqrt { 29 } x + 1 = 0$$

A) $x = 12 , x = - 17 / 2$
B) $x = \sqrt { 29 } / 2 , x = \sqrt { 17 } / 2$
C) $x = \sqrt { 19 } / 2 , x = - \sqrt { 17 } / 2$
D) $x = \frac { \sqrt { 29 } - 5 } { 2 } , x = \frac { \sqrt { 29 } + 5 } { 2 }$
E) none of these