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JAMB Mathematics 1993 Question 24

Question 24

Binary Operations

A binary operation * is defined on a set of real numbers by x * y = xy for all real values of x and y. If x * 2 = x, find the possible values of x

  1. A.0, 1
  2. B.1, 2
  3. C.2, 2
  4. D.0, 2
Show the answer and explanation

Answer: A (0, 1)

Explanation

x * 2 = x² so x² = x, i.e. x(x − 1) = 0, giving x = 0 or 1.