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What is the discriminant of the equation 2x^2 + 3x + 1 = 0?
What is the discriminant of the equation 2x^2 + 3x + 1 = 0?
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What is the discriminant of the equation 2x^2 + 3x + 1 = 0?
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The discriminant is b^2 - 4ac = 3^2 - 4(2)(1) = 9 - 8 = 1.
Questions & Step-by-step Solutions
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Q: What is the discriminant of the equation 2x^2 + 3x + 1 = 0?
Solution:
The discriminant is b^2 - 4ac = 3^2 - 4(2)(1) = 9 - 8 = 1.
Steps: 6
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Step 1: Identify the coefficients a, b, and c from the equation 2x^2 + 3x + 1 = 0. Here, a = 2, b = 3, and c = 1.
Step 2: Use the formula for the discriminant, which is b^2 - 4ac.
Step 3: Calculate b^2. Since b = 3, b^2 = 3^2 = 9.
Step 4: Calculate 4ac. Here, a = 2 and c = 1, so 4ac = 4 * 2 * 1 = 8.
Step 5: Subtract the result from Step 4 from the result in Step 3. So, 9 - 8 = 1.
Step 6: The discriminant of the equation is 1.
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