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

Multiple Choice

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

A) 6.19
B) 4.11
C) 4.2
D) 5.51