Find the Solutions of the Quadratic Equation $2 x ^ { 2 } + 6 d x - d ^ { 2 } = 0$

Multiple Choice

Find the solutions of the quadratic equation $2 x ^ { 2 } + 6 d x - d ^ { 2 } = 0$

A) $\frac { 1 } { 4 } ( 3 \pm \sqrt { 11 } ) d$
B) there are no solutions
C) $\frac { 1 } { 2 } ( - 3 \pm \sqrt { 11 } ) d$
D) $\frac { 1 } { 2 } ( 3 \pm \sqrt { 11 } ) d$
E) $\frac { 1 } { 4 } ( - 3 \pm \sqrt { 11 } ) d$