The equation x^2 - 2x + 1 = 0 has how many distinct roots?

Practice Questions

Q1
The equation x^2 - 2x + 1 = 0 has how many distinct roots?
  1. 0
  2. 1
  3. 2
  4. 3

Questions & Step-by-Step Solutions

The equation x^2 - 2x + 1 = 0 has how many distinct roots?
  • 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.
  • Step 3: Identify the coefficients: a = 1, b = -2, c = 1.
  • Step 4: Calculate the discriminant using the formula D = b^2 - 4ac.
  • Step 5: Substitute the values into the formula: D = (-2)^2 - 4(1)(1).
  • Step 6: Simplify the calculation: D = 4 - 4 = 0.
  • Step 7: Interpret the result: A discriminant of 0 means there is exactly one distinct root.
No concepts available.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely