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Unilorin Post-UTME Mathematics 2018 (Model questions) Question 43

Question 43

Quadratic Equations

The difference of two number is 10, while their product 39. Find these numbers

  1. A.−3 and −13 or 13 and 3
  2. B.3 and −10 or 3 and 13
  3. C.3 and −3 or 3 and 13
  4. D.5 and 6 or −6 and −5
Show the answer and explanation

Answer: A (−3 and −13 or 13 and 3)

Explanation

x = y + 10 and y(y + 10) = 39 give y = 3 or −13, so the pairs are 13 and 3, or −3 and −13.