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WAEC Mathematics 2022 Question 47

Question 47

Quadratic Equations

If the equations x2 − 5x + 6 = 0 and x2 + px + 6 = 0 have common roots, find the value of p.

  1. A.5
  2. B.6
  3. C.−6
  4. D.−5
Show the answer and explanation

Answer: D (−5)

Explanation

Both equations have the same roots and the same constant 6, so they are the same equation: p = −5 (roots 2 and 3).