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Solve the equation x^2 + 4x + 4 = 0.

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Question: Solve the equation x^2 + 4x + 4 = 0.

Options:

  1. x = -2
  2. x = 2
  3. x = -4
  4. x = 0

Correct Answer: x = -2

Solution:

This can be factored as (x + 2)(x + 2) = 0. Therefore, x = -2 is a double root.

Solve the equation x^2 + 4x + 4 = 0.

Practice Questions

Q1
Solve the equation x^2 + 4x + 4 = 0.
  1. x = -2
  2. x = 2
  3. x = -4
  4. x = 0

Questions & Step-by-Step Solutions

Solve the equation x^2 + 4x + 4 = 0.
  • Factoring Quadratic Equations – The question tests the ability to factor a quadratic equation and identify its roots.
  • Understanding Roots – It assesses the understanding of double roots and their implications in a quadratic equation.
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