Question regarding complex numbers

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Homework Help Overview

The discussion revolves around a problem involving complex numbers, specifically the equation az² + az + 1 = 0, where a is expressed in terms of trigonometric functions. The original poster is attempting to determine the value of tanα given that the equation has a pure imaginary root.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the implications of the equation having a pure imaginary root and the use of De Moivre's theorem. There are inquiries about the original poster's work and requests for clarification on their approach.

Discussion Status

The discussion includes requests for the original poster to show their work, indicating a focus on understanding the reasoning behind their attempts. There is acknowledgment of the importance of the condition regarding the pure imaginary root, which may influence the approach taken.

Contextual Notes

One participant notes that the original poster may have overlooked the significance of the term "purely" in the context of the problem, suggesting a potential misunderstanding of the problem's requirements.

Mohsin Hussain
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1)If a= cosα + i sinα and the equation az2 + az +1 =0 has a pure imaginary root, then tanα=?

2) cosα+isinα=eiα , quadratic formula

3) What i tried to do was,i put a constant real number and tried to solve it and used demoivres theorem, although the answer is getting weirder and weirder.
 
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You need to show your work.
 
PeroK said:
You need to show your work.
Yes, please show what you have done, Mohsin Hussain.

This is an important piece of information --
the equation az2 + az +1 =0 has a pure imaginary root
 
sorry for bothering, it was a fairly easy one. didnt read the word "purely". Thanks.
 

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