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If the roots of the equation x^2 - 5x + 6 = 0 are p and q, what is the value of

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Question: If the roots of the equation x^2 - 5x + 6 = 0 are p and q, what is the value of p + q?

Options:

  1. 5
  2. 6
  3. 3
  4. 0

Correct Answer: 5

Solution: 

According to Vieta\'s formulas, the sum of the roots p + q is equal to -(-5) = 5.

If the roots of the equation x^2 - 5x + 6 = 0 are p and q, what is the value of

Practice Questions

Q1
If the roots of the equation x^2 - 5x + 6 = 0 are p and q, what is the value of p + q?
  1. 5
  2. 6
  3. 3
  4. 0

Questions & Step-by-Step Solutions

If the roots of the equation x^2 - 5x + 6 = 0 are p and q, what is the value of p + q?
  • Step 1: Identify the equation given, which is x^2 - 5x + 6 = 0.
  • Step 2: Recognize that this is a quadratic equation in the form of ax^2 + bx + c = 0.
  • Step 3: Identify the coefficients: a = 1, b = -5, and c = 6.
  • Step 4: Use Vieta's formulas, which state that for a quadratic equation, the sum of the roots (p + q) is equal to -b.
  • Step 5: Substitute the value of b into the formula: p + q = -(-5).
  • Step 6: Simplify the expression: p + q = 5.
  • Vieta's Formulas – Vieta's formulas relate the coefficients of a polynomial to sums and products of its roots.
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