Consider the solutions of the equation
What is the product of all of the solutions that have a positive principal argument?
Complex Numbers, EXT2 N2 2023 HSC 12e
The complex number
where
- Explain why
is also a zero of the polynomial . (1 marks)
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- Find the remaining zeros of the polynomial
. (2 marks)
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Complex Numbers, EXT2 N2 2022 HSC 13c
Consider the equation
- Solve the equation
by finding the 5th roots of . (2 marks)
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- Show that if
is a solution of and , then is a solution of . (2 marks)
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- Hence find the exact value of
. (3 marks)
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Complex Numbers, EXT2 N2 2021 HSC 13a
Indicate the locations of all of the fourth roots of the complex number
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♦ Mean mark 47%.
Complex Numbers, EXT2 N2 SM-Bank 1
Find all solutions for
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Complex Numbers, EXT2 N2 EQ-Bank 1
- Express
in exponential form. (2 marks)
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- Find the value of
. (1 mark)
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- Find the other 4 roots of the equation in exponential form. (3 marks)
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Complex Numbers, EXT2 N2 2018 HSC 6 MC
Which complex number is a 6th root of
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Complex Numbers, EXT2 N2 2017 HSC 1 MC
The complex number
Which polynomial equation has all of these complex numbers as roots?
Complex Numbers, EXT2 N2 2009 HSC 2e
- Find all the 5th roots of
in modulus-argument form. (2 marks)
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- Sketch the 5th roots of
on an Argand diagram. (1 mark)
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