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If one root of the quadratic equation x^2 + px + q = 0 is 3, and the other root

Practice Questions

Q1
If one root of the quadratic equation x^2 + px + q = 0 is 3, and the other root is -1, what is the value of p? (2021)
  1. 2
  2. 4
  3. 6
  4. 8

Questions & Step-by-Step Solutions

If one root of the quadratic equation x^2 + px + q = 0 is 3, and the other root is -1, what is the value of p? (2021)
  • Step 1: Identify the roots of the quadratic equation. The roots given are 3 and -1.
  • Step 2: Use the formula for the sum of the roots of a quadratic equation, which is -p (where p is the coefficient of x).
  • Step 3: Calculate the sum of the roots: 3 + (-1) = 2.
  • Step 4: Set the sum of the roots equal to -p: 2 = -p.
  • Step 5: Solve for p by multiplying both sides by -1: p = -2.
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