Asked by Victoria Ronga on May 10, 2024
Verified
Solve the expression x+4=9−x\sqrt { x + 4 } = 9 - \sqrt { x }x+4=9−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
Graphing Calculator
A handheld or software tool that plots graphs, solves equations, and performs other mathematical calculations.
Radical Equation
A mathematical equation that involves a radical, where the variable is inside a root, such as a square root or cube root.
- Use graphing calculators for solving equations.
Verified Answer
VB
Valentine BouyerMay 14, 2024
Final Answer :
C
Explanation :
To solve the equation x+4=9−x\sqrt{x + 4} = 9 - \sqrt{x}x+4=9−x using a graphing calculator, you would typically graph two functions: y1=x+4y_1 = \sqrt{x + 4}y1=x+4 and y2=9−xy_2 = 9 - \sqrt{x}y2=9−x , and then find the point(s) of intersection. The correct answer, when rounded to three decimal places, is x=18.299x = 18.299x=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.
Learning Objectives
- Use graphing calculators for solving equations.
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