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The roots of the equation x² + 4x + 4 = 0 are: (2020)

Practice Questions

Q1
The roots of the equation x² + 4x + 4 = 0 are: (2020)
  1. -2 and -2
  2. 2 and 2
  3. 0 and 4
  4. 1 and 3

Questions & Step-by-Step Solutions

The roots of the equation x² + 4x + 4 = 0 are: (2020)
  • Step 1: Start with the equation x² + 4x + 4 = 0.
  • Step 2: Look for two numbers that multiply to 4 (the last number) and add to 4 (the middle number).
  • Step 3: The numbers 2 and 2 work because 2 * 2 = 4 and 2 + 2 = 4.
  • Step 4: Rewrite the equation using these numbers: (x + 2)(x + 2) = 0.
  • Step 5: This can be simplified to (x + 2)² = 0.
  • Step 6: To find the roots, set (x + 2)² = 0.
  • Step 7: Take the square root of both sides: x + 2 = 0.
  • Step 8: Solve for x by subtracting 2 from both sides: x = -2.
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