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WAEC Mathematics 1999 Question 41

Question 41

Quadratic Equations

If x2 + 15x + 50 = ax2 + bx + c = 0, which of the following statements is not true?

  1. A.x = −5
  2. B.x = 10
  3. C.x + 10 = 0
  4. D.bc = 750.
Show the answer and explanation

Answer: B (x = 10)

Explanation

x2 + 15x + 50 = (x + 5)(x + 10), so the roots are −5 and −10, not 10. Also b = 15 and c = 50, so bc = 750.