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What is the value of the discriminant for the equation x² - 2x + 1 = 0? (2022)

Practice Questions

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

Questions & Step-by-Step Solutions

What is the value of the discriminant for the equation x² - 2x + 1 = 0? (2022)
  • Step 1: Identify the coefficients a, b, and c from the equation x² - 2x + 1 = 0. Here, a = 1, b = -2, and c = 1.
  • 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: (-2)² - 4*1*1.
  • Step 4: Calculate (-2)², which equals 4.
  • Step 5: Calculate 4*1*1, which equals 4.
  • Step 6: Subtract the two results: 4 - 4 = 0.
  • Step 7: Conclude that the value of the discriminant is 0.
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