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If the quadratic equation x^2 + 2x + 1 = 0 is solved, what is the value of x? (2

Practice Questions

Q1
If the quadratic equation x^2 + 2x + 1 = 0 is solved, what is the value of x? (2023)
  1. -1
  2. 1
  3. 0
  4. 2

Questions & Step-by-Step Solutions

If the quadratic equation x^2 + 2x + 1 = 0 is solved, what is the value of x? (2023)
  • Step 1: Start with the quadratic equation x^2 + 2x + 1 = 0.
  • Step 2: Recognize that this equation can be factored. Look for two numbers that multiply to 1 (the constant term) and add to 2 (the coefficient of x).
  • Step 3: The numbers that work are 1 and 1, so we can write the equation as (x + 1)(x + 1) = 0.
  • Step 4: This can be simplified to (x + 1)^2 = 0.
  • Step 5: To find the value of x, set (x + 1) equal to 0: x + 1 = 0.
  • Step 6: Solve for x by subtracting 1 from both sides: x = -1.
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