If the quadratic equation x^2 + 2x + 1 = 0 is solved, what is the nature of its

Practice Questions

Q1
If the quadratic equation x^2 + 2x + 1 = 0 is solved, what is the nature of its roots? (2019)
  1. Real and distinct
  2. Real and equal
  3. Complex
  4. None of the above

Questions & Step-by-Step Solutions

If the quadratic equation x^2 + 2x + 1 = 0 is solved, what is the nature of its roots? (2019)
  • Step 1: Identify the coefficients of the quadratic equation x^2 + 2x + 1 = 0. Here, a = 1, b = 2, and c = 1.
  • Step 2: Use the formula for the discriminant, which is D = b^2 - 4ac.
  • Step 3: Substitute the values of a, b, and c into the discriminant formula: D = 2^2 - 4*1*1.
  • Step 4: Calculate 2^2, which is 4.
  • Step 5: Calculate 4*1*1, which is also 4.
  • Step 6: Now, subtract the two results: D = 4 - 4 = 0.
  • Step 7: Interpret the result of the discriminant. Since D = 0, this means the roots are real and equal.
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