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

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

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2+3i=x+yi

2 + 3 i = x + y i

x = 2, y = 3

Solution steps

2 + 3 i = x + y i

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

[2 = x 3 = y]

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

x = 2, y = 3

(x + y i)^{2} - 3 i (x + y i) + 5 i = 0

x^{2} + 8 i = 0

2 i x^{2} + x + 3 i = 0

w^{2} - i (w - 2) = (w - 2)

x^{2} - y^{2} + i 2 x y = y + i x