ECZ 2025 · O-Level Paper 2 · Question 2 — Quadratic Equations
Question from ECZ 2025 · O-Level Paper 2 · Question 2
(a) Solve the equation 3x2 - 11x - 1 = 0, giving your answers correct to 2 decimal places.[5]
Verified working — step 1
The equation does not factorise, so use the quadratic formula with a = 3, b = -11, c = -1.(b) Find the equation of the normal to the curve y = x3 - 3x2 + 3x - 6, at the point (2, -4).[3]
Verified working — step 1
Differentiate for the tangent gradient: dydx = 3x2 - 6x + 3.The full step-by-step working and final answer are included with Premium — checked against ECZ marking standards.
Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.
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