The quadratic equation x^2 - 4x + 4 = 0 has how many distinct real roots?

Practice Questions

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

Questions & Step-by-Step Solutions

The quadratic equation x^2 - 4x + 4 = 0 has how many distinct real roots?
  • Step 1: Identify the quadratic equation, which is in the form ax^2 + bx + c. Here, a = 1, b = -4, and c = 4.
  • Step 2: Calculate the discriminant using the formula D = b^2 - 4ac.
  • Step 3: Substitute the values of a, b, and c into the discriminant formula: D = (-4)^2 - 4(1)(4).
  • Step 4: Simplify the calculation: D = 16 - 16 = 0.
  • Step 5: Interpret the result: Since the discriminant D is 0, this means there is one distinct real root.
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