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What is the sum of the roots of the equation x^2 - 6x + 8 = 0?

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Question: What is the sum of the roots of the equation x^2 - 6x + 8 = 0?

Options:

  1. 6
  2. 8
  3. 4
  4. 2

Correct Answer: 6

Solution: 

The sum of the roots is given by -b/a = 6/1 = 6.

What is the sum of the roots of the equation x^2 - 6x + 8 = 0?

Practice Questions

Q1
What is the sum of the roots of the equation x^2 - 6x + 8 = 0?
  1. 6
  2. 8
  3. 4
  4. 2

Questions & Step-by-Step Solutions

What is the sum of the roots of the equation x^2 - 6x + 8 = 0?
Correct Answer: 6
  • Step 1: Identify the coefficients in the quadratic equation x^2 - 6x + 8 = 0. Here, a = 1, b = -6, and c = 8.
  • 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: -(-6)/1.
  • Step 4: Simplify the expression: 6/1 = 6.
  • Step 5: Conclude that the sum of the roots is 6.
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