Solve the expression $\sqrt{x+4}=9-\sqrt{x}$ using a graphing calculator. Round your answer to three decimal places.

A) 44.599
B) 0.299
C) 18.299
D) 225.781
E) 112.891

To solve the equation $\sqrt{x+4}=9-\sqrt{x}$ using a graphing calculator, you would typically graph two functions: $y_1=\sqrt{x+4}$ and $y_2=9-\sqrt{x}$ , and then find the point(s) of intersection. The correct answer, when rounded to three decimal places, is $x=18.299$ . This is because the solution to the equation is the x-coordinate of the point where the two graphs intersect, and among the given options, 18.299 is the correct value that satisfies the original equation when checked.