Final Answer:
The correct solution to the given equation 6x² + 31x = 126, rounded to the nearest tenth, is correct answer is -5, 0.7.Thus the correct option a A.
Step-by-step explanation:
To solve the quadratic equation 6x² + 31x = 126 by graphing, we first need to rearrange it to the standard form, which is (6x² + 31x - 126 = 0). The solutions to this quadratic equation represent the x-coordinates of the points where the graph intersects the x-axis. Graphing the equation visually and determining the x-values where the graph crosses the x-axis allows us to find the solutions. In this case, the solutions are approximately x = -5 and x = 0.7, rounding to the nearest tenth.
Therefore, the correct solution is option a) -5, 0.7. It's crucial to round the answers to the nearest tenth as specified in the question. This rounding ensures that the solutions are presented with the appropriate level of precision based on the context of the problem.
In summary, solving the quadratic equation by graphing involves visually inspecting the points of intersection with the x-axis. Rounding the solutions to the nearest tenth provides a clear and concise representation of the points where the graph intersects the x-axis.