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If the roots of the equation x^2 - px + q = 0 are 3 and 4, what is the value of

Practice Questions

Q1
If the roots of the equation x^2 - px + q = 0 are 3 and 4, what is the value of p?
  1. 7
  2. 12
  3. 9
  4. 10

Questions & Step-by-Step Solutions

If the roots of the equation x^2 - px + q = 0 are 3 and 4, what is the value of p?
Correct Answer: 7
  • Step 1: Identify the roots of the equation. The roots given are 3 and 4.
  • Step 2: Recall that for a quadratic equation of the form x^2 - px + q = 0, the sum of the roots is equal to p.
  • Step 3: Calculate the sum of the roots: 3 + 4.
  • Step 4: Add the numbers: 3 + 4 = 7.
  • Step 5: Conclude that the value of p is 7.
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