Year 11 · Specialist Mathematics

Complex roots of equations

Free examples and worked answers. No account needed.

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Practise the method.

Quadratics with non-real roots and conjugate pairs.

Example 1

-3-333ReImtrial z
Trial plane · your chosen z
Choose a trial, then switch views to investigate its power. The two views zoom independently; each keeps equal real and imaginary scales.
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Answer:

Example 2

-20-202020ReImzwtrial
z = 10 + 3iw = 10 − 3i
Rotate and stretch a separate trial image of z. The fixed factors do not move, and the trial is not a calculated product. The view zooms to fit, with equal axis scales.
Show worked answer

Answer:

Example 3

-3-333ReImtrial z
Trial plane · your chosen z
Choose a trial, then switch views to investigate its power. The two views zoom independently; each keeps equal real and imaginary scales.
Show worked answer

Answer: