Question

Solve the equation by graphing. If the equation has one solution, enter the solution. If the equation has two solutions, write them in the increasing order of the values separated by a comma. Otherwise enter ’no real solution’.

A. x = 3, 7
B. x = 5
C. x = 2, 9
D. No real solution

Answer 1

To solve the equation by graphing, plot the equation on a graph and identify the x-values where it intersects the x-axis. The correct answer is C) x = 2, 9.

Step-by-step explanation:

To solve the equation by graphing, we need to plot the equation on a graph and identify the x-values where the equation intersects the x-axis.

Let's analyze each option:

1. A. x = 3, 7: This equation represents two vertical lines on the graph, intersecting the x-axis at x = 3 and x = 7. The solution is x = 3, 7.
2. B. x = 5: This equation represents a single vertical line on the graph, intersecting the x-axis at x = 5. The solution is x = 5.
3. C. x = 2, 9: This equation represents two vertical lines on the graph, intersecting the x-axis at x = 2 and x = 9. The solution is x = 2, 9.
4. D. No real solution: This option implies that the equation does not intersect the x-axis. Therefore, there is no solution.

Based on the analysis, the correct answer is option C. The solution is x = 2, 9.