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WAEC Mathematics 2015 Question 12

Question 12

Graphs of Functions

Ada draws the graphs of y = x2 − x − 2 and y = 2x − 1 on the same axes. Which of these equations is she solving?

  1. A.x2 − x − 30 = 0
  2. B.x2 − 3x − 1 = 0
  3. C.x2 − 3x − 3 = 0
  4. D.x2 + 3x − 1 = 0
Show the answer and explanation

Answer: B (x2 − 3x − 1 = 0)

Explanation

Where the graphs meet, x² − x − 2 = 2x − 1, i.e. x² − 3x − 1 = 0.