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 Problem: Understand the problem and the given information.We are given the equation 2x=2+3x and we know that one solution is approximately x=3.7. We need to find the other solution using a graphing calculator, as suggested by the hint. We will graph both sides of the equation and look for the point(s) of intersection.
Graph Equations: Graph the function y=2x and the line y=2+3x using a graphing calculator.By graphing these two equations, we can visually inspect where they intersect. We already know one intersection point is around x=3.7, so we are looking for any other points where the graphs cross.
Identify Intersection Points: Identify the intersection point(s) other than x=3.7. Using the graphing calculator, we can use the "Intersect" feature to find the exact point of intersection. Since we are looking for the solution other than x=3.7, we focus on the part of the graph where x < 3.7.
Find Other Solution: Find the other solution and round it to the nearest tenth.After using the graphing calculator, we find that the other intersection point is approximately x=−0.2. This is the other solution to the equation 2x=2+3x.
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