Real & Imaginary Parts of z+(1/z) in x+\imathy

Thread starter kingyof2thejring
Start date Nov 14, 2005
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Imaginary parts

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To find the real and imaginary parts of the expression z + (1/z) where z = x + iy, the first step involves substituting z into the equation. The expression simplifies to (x + iy) + (1/(x + iy)). To compute 1/(x + iy), multiply the numerator and denominator by the conjugate, resulting in a real part of (x/(x^2 + y^2)) and an imaginary part of (-y/(x^2 + y^2)). Combining these results provides the overall real and imaginary components of z + (1/z). The solution reveals the relationship between the variables x and y in the context of complex numbers.

Nov 14, 2005

kingyof2thejring

z=x+\imathy Find the real and imaginary parts z+(1/z)

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Nov 14, 2005

siddharth

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What have you done till now to solve this?

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