Solve the Equation $16 x ^ { 2 } + \sqrt { 4 x + 1 } = \sqrt { 4 x + 5000 } .$

Multiple Choice

Solve the equation $16 x ^ { 2 } + \sqrt { 4 x + 1 } = \sqrt { 4 x + 5000 } .$ Restrict your attention to the horizontal span of 0 to 5.

A) 3.45
B) 2.06
C) 2.1
D) 3.71