Solving Complex Number Problems: z1 & z2

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SUMMARY

The discussion focuses on solving complex number problems involving z1 = 4 + 3i and z2 = 2 - 5i. The user seeks assistance with two specific questions related to these complex numbers, particularly in calculating 1/z^2 for z1 and understanding the multiplication of z and its conjugate. The user has made an initial attempt at the solution but expresses confusion, especially regarding the calculations required for part e, which involves finding a real number from the expression z*zbar = |z|^2.

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  • Understanding of complex numbers and their properties
  • Familiarity with complex conjugates
  • Knowledge of basic algebraic operations involving complex numbers
  • Ability to perform calculations with imaginary units (i)
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  • Practice calculating the modulus of complex numbers
  • Learn how to find the conjugate of a complex number
  • Study the process of dividing complex numbers
  • Explore the geometric interpretation of complex number multiplication
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Students studying complex numbers, mathematics enthusiasts, and anyone needing help with algebra involving imaginary units.

Lmck33
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Homework Statement



Let z1 = 4 + 3i and z2 = 2 - 5i. Find each of the following in the form
x + iy, showing the details of your work:

I'll show in the photo the 2 questions i require help with.

Homework Equations



Complex numbers

The Attempt at a Solution



attempted f) 1/z^2 = z1 = 4+3i

z1 = 4/25 - 3i/25

However I'm really lost, mind blank and more so with question e) :S

Thanks for any help .
 

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z*zbar=|z|^2.

Part e is just some real number.

Write down the expression and do the multiplication.
 

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