Question

Use the table to answer the question.
x = - 23, 0, 12
For the quadratic equation x^2 + 20x = 69, complete the table by testing each of the given values
to determine whether it is a solution. Identify which one of these values is in the solution set.
(1 point)
Only x
is in the solution set.

Answer 1

Test each value in x^2 + 20x = 69:

- x = −23: (−23)^2 + 20(−23) = 529 − 460 = 69 → True
- x = 0: 0^2 + 20·0 = 0 ≠ 69 → False
- x = 12: 12^2 + 20·12 = 144 + 240 = 384 ≠ 69 → False

Only x = −23 is in the solution set.