WAEC Mathematics 2002 Question 47

Question 47

Algebraic Expressions

Given that p = x − 1/x and q = x2 + 1/x2, express q in terms of p.

  1. A.(p2 + 2)
  2. B.(p − 2)2
  3. C.(p + 2)2
  4. D.(p2 − 2).
Show the answer and explanation

Answer: A ((p2 + 2))

Explanation

p2 = x2 − 2 + 1/x2 = q − 2, so q = p2 + 2.