Solve the equation using a table

x^(2)-8x+15=0

To solve this equation using a table, we can create a table with values of x and substitute them into the given equation to check for solutions:

| x | x^2 - 8x + 15 |
|---|---|
| 0 | 15 |
| 1 | 8 |
| 2 | 7 |
| 3 | 6 |
| 4 | 7 |
| 5 | 10 |
| 6 | 15 |

From the table, we can see that the expression x^2 - 8x + 15 equals 0 when x = 3 and x = 5. Therefore, the solutions to the equation x^2 - 8x + 15 = 0 are x = 3 and x = 5.