ECZ 2019 · GCE Paper 1 — Variation

y varies directly as x and inversely as the square of z, with constant k = 5 (so y = 5xz²). Find z when x = 9 and y = 5.

  • A. z = 3 only
  • B. z = 9 or −9
  • C. z = 3 or −3
  • D. z = ±√5

Verified working — step 1

5 = 5 × 9z² gives z² = 455= 9, so z = ±√9 = …

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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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