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The equation x^2 - 2x + 1 = 0 has:

Practice Questions

Q1
The equation x^2 - 2x + 1 = 0 has:
  1. Two distinct roots
  2. One repeated root
  3. No real roots
  4. Infinitely many roots

Questions & Step-by-Step Solutions

The equation x^2 - 2x + 1 = 0 has:
  • Step 1: Identify the equation given, which is x^2 - 2x + 1 = 0.
  • Step 2: Recognize that this is a quadratic equation in the form ax^2 + bx + c = 0, where a = 1, b = -2, and c = 1.
  • Step 3: Calculate the discriminant using the formula D = b^2 - 4ac.
  • Step 4: Substitute the values of a, b, and c into the formula: D = (-2)^2 - 4(1)(1).
  • Step 5: Simplify the calculation: D = 4 - 4 = 0.
  • Step 6: Interpret the result: Since the discriminant D is 0, this means there is one repeated root.
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