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WAEC Further Mathematics 2012 Question 31

Question 31

Coordinate Geometry

Find the values of x at the point of intersection of the curve y = x2 + 2x − 3 and the line y + x = 1

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

Answer: D ((1, −4))

Explanation

Substitute y = 1 − x: x2 + 2x − 3 = 1 − x, so x2 + 3x − 4 = (x − 1)(x + 4) = 0 and x = 1 or −4.