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What is the discriminant of the equation 2x^2 + 3x + 1 = 0?

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Question: What is the discriminant of the equation 2x^2 + 3x + 1 = 0?

Options:

  1. 1
  2. 0
  3. -1
  4. 2

Correct Answer: 1

Solution: 

The discriminant is b^2 - 4ac = 3^2 - 4(2)(1) = 9 - 8 = 1.

What is the discriminant of the equation 2x^2 + 3x + 1 = 0?

Practice Questions

Q1
What is the discriminant of the equation 2x^2 + 3x + 1 = 0?
  1. 1
  2. 0
  3. -1
  4. 2

Questions & Step-by-Step Solutions

What is the discriminant of the equation 2x^2 + 3x + 1 = 0?
Correct Answer: 1
  • 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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