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What is the discriminant of the equation x² + 6x + 9 = 0? (2020)

Practice Questions

Q1
What is the discriminant of the equation x² + 6x + 9 = 0? (2020)
  1. 0
  2. 6
  3. 9
  4. 36

Questions & Step-by-Step Solutions

What is the discriminant of the equation x² + 6x + 9 = 0? (2020)
  • Step 1: Identify the coefficients a, b, and c from the equation x² + 6x + 9 = 0. Here, a = 1, b = 6, and c = 9.
  • Step 2: Use the formula for the discriminant, which is b² - 4ac.
  • Step 3: Calculate b². Since b = 6, b² = 6² = 36.
  • Step 4: Calculate 4ac. Since a = 1 and c = 9, 4ac = 4 * 1 * 9 = 36.
  • Step 5: Substitute the values into the discriminant formula: Discriminant = 36 - 36.
  • Step 6: Simplify the expression: 36 - 36 = 0.
  • Step 7: Conclude that the discriminant of the equation is 0.
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