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The quadratic equation x^2 + px + q = 0 has roots 3 and -2. What is the value of

Practice Questions

Q1
The quadratic equation x^2 + px + q = 0 has roots 3 and -2. What is the value of p?
  1. 1
  2. 5
  3. -1
  4. -5

Questions & Step-by-Step Solutions

The quadratic equation x^2 + px + q = 0 has roots 3 and -2. What is the value of p?
  • Step 1: Identify the roots of the quadratic equation. The roots given are 3 and -2.
  • Step 2: Use the formula for the sum of the roots of a quadratic equation, which is -p. The sum of the roots is 3 + (-2).
  • Step 3: Calculate the sum of the roots: 3 + (-2) = 1.
  • Step 4: Since the sum of the roots is equal to -p, we set up the equation: -p = 1.
  • Step 5: To find p, multiply both sides of the equation by -1: p = -1.
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