Solve for the Specified Variable $$81 \left( a ^ { 2 } - b \right) + 11 = 7 F ; \text { for } a$$

Multiple Choice

Solve for the specified variable. Assume that all other variables are nonzero
- $$81 \left( a ^ { 2 } - b \right) + 11 = 7 F ; \text { for } a$$

A) $a = \pm \frac { \sqrt { 7 \mathrm {~F} + 81 \mathrm {~b} - 11 } } { 9 }$
B) $a = \pm \frac { \sqrt { 7 F - 11 } } { 9 } + b$
C) $a = \pm \frac { \sqrt { 7 F + b - 11 } } { 9 }$
D) $a = \pm \frac { \sqrt { 7 F - b + 11 } } { 9 }$