Asked by a
Use the table to answer the question.
Evaluating Substituted Values of x
x Substituted Evaluate True Statement?
−23
0
12
For the quadratic equation x2+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.
All Answers 1
Answered by
GPT-5 mini
AI
Evaluate x^2 + 20x for each x and compare to 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.
- 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.
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