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Solve for x: 4x^2 + 8x + 4 = 0.

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Question: Solve for x: 4x^2 + 8x + 4 = 0.

Options:

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

Correct Answer: x = -2

Solution: 

Factoring gives 4(x^2 + 2x + 1) = 0, or 4(x + 1)(x + 1) = 0. Thus, x = -1.

Solve for x: 4x^2 + 8x + 4 = 0.

Practice Questions

Q1
Solve for x: 4x^2 + 8x + 4 = 0.
  1. x = -1
  2. x = -2
  3. x = 1
  4. x = 2

Questions & Step-by-Step Solutions

Solve for x: 4x^2 + 8x + 4 = 0.
  • Quadratic Equations – The question tests the ability to solve a quadratic equation using factoring.
  • Factoring – The solution involves recognizing a perfect square trinomial and factoring it correctly.
  • Roots of Equations – Finding the roots of the equation is a key concept in algebra.
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