What is the value of the discriminant for the quadratic equation 3x^2 + 6x + 2 =

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Question: What is the value of the discriminant for the quadratic equation 3x^2 + 6x + 2 = 0? (2023)

Options:

Correct Answer: 4

Exam Year: 2023

Solution:

The discriminant is b^2 - 4ac = 6^2 - 4(3)(2) = 36 - 24 = 12.

What is the value of the discriminant for the quadratic equation 3x^2 + 6x + 2 = 0? (2023)

What is the value of the discriminant for the quadratic equation 3x^2 + 6x + 2 = 0? (2023)

Step 1: Identify the coefficients a, b, and c from the quadratic equation 3x^2 + 6x + 2 = 0. Here, a = 3, b = 6, and c = 2.
Step 2: Write the formula for the discriminant, which is b^2 - 4ac.
Step 3: Substitute the values of a, b, and c into the formula: b^2 - 4ac = 6^2 - 4(3)(2).
Step 4: Calculate 6^2, which is 36.
Step 5: Calculate 4(3)(2), which is 24.
Step 6: Subtract the result from Step 5 from the result from Step 4: 36 - 24.
Step 7: The final result is 12, which is the value of the discriminant.

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