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What is the sum of the roots of the equation x^2 - 5x + 6 = 0?

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Question: What is the sum of the roots of the equation x^2 - 5x + 6 = 0?

Options:

  1. 5
  2. 6
  3. 7
  4. 8

Correct Answer: 5

Solution: 

The sum of the roots is given by -b/a = 5/1 = 5.

What is the sum of the roots of the equation x^2 - 5x + 6 = 0?

Practice Questions

Q1
What is the sum of the roots of the equation x^2 - 5x + 6 = 0?
  1. 5
  2. 6
  3. 7
  4. 8

Questions & Step-by-Step Solutions

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