ECZ 2019 · GCE Paper 1 — Quadratic Equations

Solve the equation 2x² + 5x − 3 = 0.

  • A. x = 2 or x = −3
  • B. x = −½ or x = 3
  • C. x = 1 or x = −32
  • D. x = ½ or x = −3

Verified working — step 1

Split the middle term: 2x² + 6x − x − 3 = 0 → 2x(x + 3) − 1(x + 3) = 0 → (2x − 1)(x + 3) = 0. So 2x − 1 = 0 giving x = ½, or x + 3 = 0 giving x = …

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Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.

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