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The quadratic equation x² + 4x + 4 = 0 has how many distinct roots? (2021)

Practice Questions

Q1
The quadratic equation x² + 4x + 4 = 0 has how many distinct roots? (2021)
  1. 0
  2. 1
  3. 2
  4. 3

Questions & Step-by-Step Solutions

The quadratic equation x² + 4x + 4 = 0 has how many distinct roots? (2021)
  • Step 1: Identify the coefficients of the quadratic equation x² + 4x + 4 = 0. Here, a = 1, b = 4, and c = 4.
  • Step 2: Use the formula for the discriminant, which is D = b² - 4ac.
  • Step 3: Substitute the values of a, b, and c into the discriminant formula: D = 4² - 4*1*4.
  • Step 4: Calculate 4², which is 16.
  • Step 5: Calculate 4*1*4, which is 16.
  • Step 6: Now, subtract the two results: D = 16 - 16 = 0.
  • Step 7: Interpret the result: A discriminant of 0 means there is one distinct root.
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