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What is the sum of the roots of the quadratic equation x^2 + 4x + 4 = 0?

Practice Questions

Q1
What is the sum of the roots of the quadratic equation x^2 + 4x + 4 = 0?
  1. -4
  2. 4
  3. 0
  4. 2

Questions & Step-by-Step Solutions

What is the sum of the roots of the quadratic equation x^2 + 4x + 4 = 0?
  • Step 1: Identify the coefficients of the quadratic equation. In the equation x^2 + 4x + 4 = 0, the coefficients are a = 1, b = 4, and c = 4.
  • Step 2: Use the formula for the sum of the roots of a quadratic equation, which is -b/a.
  • Step 3: Substitute the values of b and a into the formula. Here, b = 4 and a = 1.
  • Step 4: Calculate -b/a. This means you calculate -4/1.
  • Step 5: Simplify -4/1 to get -4.
  • Step 6: Conclude that the sum of the roots of the equation is -4.
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