What is the answer to x+yi=3-2i ?

The answer to x+yi=3-2i is x=3,y=-2

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x+yi=3-2i

x + y i = 3 - 2 i

x = 3, y = - 2

Solution steps

x + y i = 3 - 2 i

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

[x = 3 y = - 2]

[x = 3 y = - 2] : x = 3, y = - 2

x = 3, y = - 2

Z^{2} = 3 - 4 i

(a^{2} - b^{2}) + 2 abi = - 8 - 6 i

6 i = (x + i) (y + i) + 1

i y (2 - i) + 1 = 4 i - x (1 - i)

x^{2} + (i - 6) x + 10 = 0