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If x^2 - 4x + 4 = 0, what is the repeated root?

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Question: If x^2 - 4x + 4 = 0, what is the repeated root?

Options:

  1. 2
  2. 4
  3. 0
  4. 1

Correct Answer: 2

Solution: 

Factoring gives (x - 2)(x - 2) = 0, so the repeated root is x = 2.

If x^2 - 4x + 4 = 0, what is the repeated root?

Practice Questions

Q1
If x^2 - 4x + 4 = 0, what is the repeated root?
  1. 2
  2. 4
  3. 0
  4. 1

Questions & Step-by-Step Solutions

If x^2 - 4x + 4 = 0, what is the repeated root?
  • Quadratic Equations – Understanding how to solve quadratic equations by factoring and identifying repeated roots.
  • Factoring – The ability to factor a quadratic expression to find its roots.
  • Roots of Equations – Identifying the nature of roots, including repeated roots in quadratic equations.
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