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

Question

Quizplus · Accepted Answer

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.

Solve the Expression x+4=9−x\sqrt { x + 4 } = 9 - \sqrt { x }x+4​=9−x​

Solve the Expression $\sqrt { x + 4 } = 9 - \sqrt { x }$