We want to solve the following equation.2x=2+3xOne of the solutions is x≈3.7.Find the other solution.Hint: Use a graphing calculator.Round your answer to the nearest tenth.x≈
Q. We want to solve the following equation.2x=2+3xOne of the solutions is x≈3.7.Find the other solution.Hint: Use a graphing calculator.Round your answer to the nearest tenth.x≈
Understand Equation Complexity: First, we need to understand that the equation 2x=2+3x is not one that can be easily solved algebraically due to the presence of both an exponential and a linear term. Therefore, we will use a graphing calculator to find the solution.
Graph Two Functions: Using a graphing calculator, we graph the two functions y=2x and y=2+3x. We are looking for the points where these two graphs intersect, which represent the solutions to the equation.
Identify Intersection Points: We already know one intersection point, which is approximately x≈3.7. Now we need to find the other point of intersection. We can do this by observing the graph and using the calculator's function to find the intersection point.
Find Solutions: After using the graphing calculator's intersection function, we find that the other solution is approximately x≈−0.8. We round this to the nearest tenth as the problem instructs.