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What is the discriminant of the quadratic equation 2x^2 + 4x + 2 = 0?

Practice Questions

Q1
What is the discriminant of the quadratic equation 2x^2 + 4x + 2 = 0?
  1. 0
  2. 4
  3. 8
  4. 16

Questions & Step-by-Step Solutions

What is the discriminant of the quadratic equation 2x^2 + 4x + 2 = 0?
  • Step 1: Identify the coefficients a, b, and c from the quadratic equation 2x^2 + 4x + 2 = 0. Here, a = 2, b = 4, and c = 2.
  • Step 2: Write down the formula for the discriminant, which is b^2 - 4ac.
  • Step 3: Substitute the values of a, b, and c into the formula. This means calculating 4^2 - 4(2)(2).
  • Step 4: Calculate 4^2, which is 16.
  • Step 5: Calculate 4(2)(2), which is also 16.
  • Step 6: Subtract the second result from the first: 16 - 16 = 0.
  • Step 7: Conclude that the discriminant of the quadratic equation is 0.
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