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

Practice Questions

Q1
What is the sum of the roots of the equation f(x) = x^2 - 5x + 6?
  1. 5
  2. 6
  3. 10
  4. 3

Questions & Step-by-Step Solutions

What is the sum of the roots of the equation f(x) = x^2 - 5x + 6?
  • Step 1: Identify the equation given, which is f(x) = x^2 - 5x + 6.
  • Step 2: Recognize that this is a quadratic equation in the form ax^2 + bx + c.
  • Step 3: Identify the coefficients: a = 1, b = -5, and c = 6.
  • Step 4: Use the formula for the sum of the roots of a quadratic equation, which is -b/a.
  • Step 5: Substitute the values of b and a into the formula: -(-5)/1.
  • Step 6: Simplify the expression: 5/1 = 5.
  • Step 7: Conclude that the sum of the roots is 5.
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