Solve the Radical Equation, If Possible $$5 t = \sqrt { 25 t ^ { 2 } + 4 t - 17 }$$

Multiple Choice

Solve the radical equation, if possible. $$5 t = \sqrt { 25 t ^ { 2 } + 4 t - 17 }$$

A) $\left\{ \frac { 17 } { 4 } \right\}$
B) $\{ 5 \}$
C) $\left\{ \frac { 4 } { 17 } \right\}$
D) \{ \}