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What is the discriminant of the equation 3x^2 + 6x + 2 = 0?
What is the discriminant of the equation 3x^2 + 6x + 2 = 0?
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Q1
What is the discriminant of the equation 3x^2 + 6x + 2 = 0?
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12
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The discriminant is b^2 - 4ac = 6^2 - 4*3*2 = 36 - 24 = 12.
Questions & Step-by-step Solutions
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Q: What is the discriminant of the equation 3x^2 + 6x + 2 = 0?
Solution:
The discriminant is b^2 - 4ac = 6^2 - 4*3*2 = 36 - 24 = 12.
Steps: 6
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Step 1: Identify the coefficients a, b, and c from the 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: Calculate b^2. Since b = 6, we have 6^2 = 36.
Step 4: Calculate 4ac. Here, a = 3 and c = 2, so 4 * 3 * 2 = 24.
Step 5: Subtract the result from Step 4 from the result in Step 3. So, 36 - 24 = 12.
Step 6: The discriminant is 12.
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