If the quadratic equation x^2 + px + q = 0 has roots 2 and 3, what is the value of p + q?

Practice Questions

1 question
Q1
If the quadratic equation x^2 + px + q = 0 has roots 2 and 3, what is the value of p + q?
  1. 5
  2. 6
  3. 7
  4. 8

Questions & Step-by-step Solutions

1 item
Q
Q: If the quadratic equation x^2 + px + q = 0 has roots 2 and 3, what is the value of p + q?
Solution: Using Vieta's formulas, p = -(2 + 3) = -5 and q = 2*3 = 6. Thus, p + q = -5 + 6 = 1.
Steps: 0

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