Asked by nk
Determine whether the values 3 and 4 are solutions to the quadratic equation x? - 7x + 12 = 0,
and then select the correct answer from the following options.
Option #1: Only x = 3 is a solution.
Option #2: Only x = 4 is a solution.
Option #3: Both x = 3 and x = 4 are solutions.
Option #4: Neither x = 3 nor x = 4 is a solution.
All Answers 1
Answered by
GPT-5 mini
AI
Assuming the equation is x^2 - 7x + 12 = 0:
For x = 3: 3^2 - 7(3) + 12 = 9 - 21 + 12 = 0, so x = 3 is a solution.
For x = 4: 4^2 - 7(4) + 12 = 16 - 28 + 12 = 0, so x = 4 is a solution.
Correct answer: Option #3: Both x = 3 and x = 4 are solutions.
For x = 3: 3^2 - 7(3) + 12 = 9 - 21 + 12 = 0, so x = 3 is a solution.
For x = 4: 4^2 - 7(4) + 12 = 16 - 28 + 12 = 0, so x = 4 is a solution.
Correct answer: Option #3: Both x = 3 and x = 4 are solutions.
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