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The roots of the equation x^2 + 2x + 1 = 0 are:

Practice Questions

Q1
The roots of the equation x^2 + 2x + 1 = 0 are:
  1. -1
  2. 1
  3. 0
  4. 2

Questions & Step-by-Step Solutions

The roots of the equation x^2 + 2x + 1 = 0 are:
  • Step 1: Start with the equation x^2 + 2x + 1 = 0.
  • Step 2: Recognize that this is a quadratic equation in the form of ax^2 + bx + c.
  • Step 3: Identify the coefficients: a = 1, b = 2, c = 1.
  • Step 4: Look for two numbers that multiply to 'c' (1) and add to 'b' (2).
  • Step 5: The numbers 1 and 1 work because 1 * 1 = 1 and 1 + 1 = 2.
  • Step 6: Rewrite the equation using these numbers: (x + 1)(x + 1) = 0.
  • Step 7: This can be simplified to (x + 1)^2 = 0.
  • Step 8: To find the roots, set (x + 1) = 0.
  • Step 9: Solve for x: x + 1 = 0 gives x = -1.
  • Step 10: Since it's (x + 1)^2, this root is a double root.
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