The discussion revolves around finding the modulus of the complex number z, defined as z = (x - iy) / (x + iy). Participants are exploring how to separate the real and imaginary parts to compute the modulus.
Some participants have suggested methods for simplifying the expression and have noted that the modulus could potentially equal 1. Others have provided guidance on using properties of moduli in complex numbers, indicating a productive direction in the discussion.
There is mention of a textbook answer being 1, which may influence participants' expectations. The context of the problem suggests it may be part of a multiple-choice question, adding a layer of urgency to find the correct approach.
But you have it there. Simply split what you have on the right-hand side into real and imaginary parts.alijan kk said:(x-iy)/(x+iy)= (x2-y2-2x(iy))/(x2+y2)
i can't get the real part and the imaginary part to take the modulus :
i got one the answer,DrClaude said:But you have it there. Simply split what you have on the right-hand side into real and imaginary parts.
thanks a lot, it was actually a multiple choice question, and you gave me a quicker wayehild said:It is easier to use that ## |z_1/z_2| = |z_1|/|z_2|##