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

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Question: What is the sum of the roots of the equation 2x^2 - 4x + 1 = 0?

Options:

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

Correct Answer: 1

Solution: 

The sum of the roots is given by -b/a = 4/2 = 2.

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

Practice Questions

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

Questions & Step-by-Step Solutions

What is the sum of the roots of the equation 2x^2 - 4x + 1 = 0?
Correct Answer: 2
  • Step 1: Identify the coefficients in the quadratic equation 2x^2 - 4x + 1 = 0. Here, a = 2, b = -4, and c = 1.
  • Step 2: Use the formula for the sum of the roots of a quadratic equation, which is -b/a.
  • Step 3: Substitute the value of b (-4) and a (2) into the formula: -(-4)/2.
  • Step 4: Simplify the expression: 4/2.
  • Step 5: Calculate the result: 4 divided by 2 equals 2.
  • Step 6: Conclude that the sum of the roots is 2.
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