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

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Question: What is the discriminant of the equation 2x^2 - 4x + 2 = 0?

Options:

  1. 0
  2. 2
  3. 4
  4. 8

Correct Answer: 0

Solution: 

Discriminant D = b² - 4ac = (-4)² - 4(2)(2) = 16 - 16 = 0.

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

Practice Questions

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

Questions & Step-by-Step Solutions

What is the discriminant of the equation 2x^2 - 4x + 2 = 0?
Correct Answer: 0
  • Step 1: Identify the coefficients a, b, and c from the equation 2x^2 - 4x + 2 = 0. Here, a = 2, b = -4, and c = 2.
  • Step 2: Write the formula for the discriminant, which is D = b² - 4ac.
  • Step 3: Substitute the values of a, b, and c into the formula. This gives us D = (-4)² - 4(2)(2).
  • Step 4: Calculate (-4)², which is 16.
  • Step 5: Calculate 4(2)(2), which is 16.
  • Step 6: Subtract the two results: 16 - 16 = 0.
  • Step 7: Conclude that the discriminant D = 0.
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