What is the value of the discriminant for the equation x² - 4x + 4 = 0? (2022)

Practice Questions

Q1
What is the value of the discriminant for the equation x² - 4x + 4 = 0? (2022)
  1. 0
  2. 4
  3. 8
  4. 16

Questions & Step-by-Step Solutions

What is the value of the discriminant for the equation x² - 4x + 4 = 0? (2022)
  • Step 1: Identify the coefficients in the quadratic equation x² - 4x + 4 = 0. Here, a = 1, b = -4, and c = 4.
  • Step 2: Write the formula for the discriminant, which is b² - 4ac.
  • Step 3: Substitute the values of a, b, and c into the formula: (-4)² - 4*1*4.
  • Step 4: Calculate (-4)², which is 16.
  • Step 5: Calculate 4*1*4, which is 16.
  • Step 6: Now, subtract the two results: 16 - 16 = 0.
  • Step 7: The value of the discriminant is 0.
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