Neco 2025 Further Mathematics Question 19

Practice objective / multiple choice question 19 from the 2025 Neco Further Mathematics examination.

Neco 2025 Further Mathematics Objective / Multiple Choice Hard Difficulty

Question 19 NECO • 2025 • FURTHER_MATHEMATICS • objective

Let \\(z\\) be a complex number satisfying \\(z^{2}=1+i\sqrt{3}\\). Evaluate \\( \dfrac{z^{6}+1}{z^{3}-1} \\) and give all possible values.

A. \frac{5}{9} \pm \frac{14\sqrt{2}}{9} i

Correct Answer B. \frac{7}{9} \pm \frac{14\sqrt{2}}{9} i

C. \frac{7}{9} \pm \frac{14\sqrt{3}}{9} i

D. \frac{7}{9} \pm \frac{7\sqrt{2}}{9} i

Correct Answer

Correct Option:

\frac{7}{9} \pm \frac{14\sqrt{2}}{9} i

This is Neco 2025 Further Mathematics Question 19. It is one of the objective questions from the 2025 Neco Further Mathematics examination.

Difficulty level: Hard .

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