Given:
Given that the graph of the quadratic function.
We need to determine the solution of the quadratic function.
Solution:
The solution of the quadratic function in the graph is the point at which the graph meets x - axis when y = 0.
In other words, the solution of the quadratic function are the values of the x - intercepts of the graph.
Thus, from the given graph, it is obvious, when y = 0, the values of x are

Thus, the x - intercepts of the quadratic function are (3,0) and (5,0).
Therefore, the solutions of the quadratic graph are 3 and 5.
Hence, Option C is the correct answer.