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UI Post-UTME Mathematics 2018 (Model questions) Question 37

Question 37

Quadratic Equations

Find the value of x for which (x − 2)2 : (x + 3)2 = 1 : 4

  1. A.1/3 or 7
  2. B.2 or 7
  3. C.−3 or −1/5
  4. D.−4 or 3
Show the answer and explanation

Answer: A (1/3 or 7)

Explanation

2(x − 2) = ±(x + 3), giving x = 7 or 3x = 1, x = 1/3.