Final answer:
To solve the equation –1/2 x^2 – x + 4 = 0 using the graph, identify the x-coordinates of the points where the graph intersects the x-axis. These x-values represent the solutions to the equation.
Step-by-step explanation:
To solve the equation –1/2 x^2 – x + 4 = 0 using the graph, we need to find the x-values where the graph intersects the x-axis.
These x-values represent the solutions to the equation.
By analyzing the graph, we can determine that there are two real solutions, which can be found by identifying the x-coordinates of the points where the graph intersects the x-axis. Let's denote these solutions as x1 and x2.
From the graph, we can see that the first intersection point is approximately (-2.5, 0) and the second intersection point is approximately (4, 0).
Therefore, the solutions to the equation are x = -2.5 and x = 4.
So, the solutions of the equation –1/2 x^2 – x + 4 = 0 are x = -2.5 and x = 4.