What is the answer to x+iy=0 ?

The answer to x+iy=0 is x=0,y=0

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x+iy=0

x + i y = 0

x = 0, y = 0

Solution steps

x + i y = 0

Rewrite

0

in standard complex form:

0 + 0 i

x + i y = 0 + 0 i

Complex numbers can be equal only if their real and imaginary parts are equalRewrite as system of equations:

[x = 0 y = 0]

[x = 0 y = 0] : x = 0, y = 0

x = 0, y = 0

(x + 2) + (2 y - 1) i = - 1 + 5 i

z^{2} = 1 + i

z - (\frac{1}{z}) = 3 + 2 i

z^{2} - z - 3 i z + 3 i = 0

(2 - i)^{2} - (2 - y i) = x + 5 i