What is the answer to x-iy=3+4i ?

The answer to x-iy=3+4i is x=3,y=-4

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x-iy=3+4i

x - i y = 3 + 4 i

x = 3, y = - 4

Solution steps

x - i y = 3 + 4 i

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

[x = 3 - y = 4]

[x = 3 - y = 4] : x = 3, y = - 4

x = 3, y = - 4

5 i - 6 x = (10 y) i + 2

x^{2} - 7 x + 9 y i = y^{2} i + 20 i - 12

18 i + 3 x = (9 y) i

25 x^{2} + b = (5 x + 8 i) (5 x - 8 i)

z^{2} + 2 z + 1 - 2 i = 0