A Partial Solution Set Is Given for the Equation $$x ^ { 4 } - 6 x ^ { 3 } - 5 x ^ { 2 } + 84 x - 126 = 0 ; \{ 3,3 \}$$

Multiple Choice

A partial solution set is given for the equation. $$x ^ { 4 } - 6 x ^ { 3 } - 5 x ^ { 2 } + 84 x - 126 = 0 ; \{ 3,3 \}$$
Find the complete solution set.

A) $\quad 3,3 , \sqrt { 17 } , - \sqrt { 17 }$
B) $\quad 7,7 , \sqrt { 14 } , - \sqrt { 14 }$
C) $3,3 , \sqrt { 7 } , - \sqrt { 7 }$
D) $\quad 3,3 , \sqrt { 14 } , - \sqrt { 14 }$
E) none of these