Solve the equation using a table.x squared minus 11 x plus 24equals0Question content area bottomPart 1xequalsenter your response here​(Use a comma to separate answers as​ needed.)

To solve the equation \( x^2 - 11x + 24 = 0 \) using a table, we can factor the quadratic expression.

First, we can look for two numbers that multiply to 24 (the constant term) and add up to -11 (the coefficient of the linear term). The numbers that meet these criteria are -3 and -8, since:

\[ -3 \times -8 = 24 \] \[ -3 + (-8) = -11 \]

Thus, we can factor the equation as:

\[ (x - 3)(x - 8) = 0 \]

Now, we can set each factor to zero to find the solutions:

1. \( x - 3 = 0 \) → \( x = 3 \)
2. \( x - 8 = 0 \) → \( x = 8 \)

So the solutions to the equation \( x^2 - 11x + 24 = 0 \) are \( x = 3 \) and \( x = 8 \).

Using a comma to separate the answers, we have:

\[ x = 3, 8 \]