What is the answer to x+2i=5+yi ?

The answer to x+2i=5+yi is x=5,y=2

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x+2i=5+yi

x + 2 i = 5 + y i

x = 5, y = 2

Solution steps

x + 2 i = 5 + y i

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

[x = 5 2 = y]

[x = 5 2 = y] : x = 5, y = 2

x = 5, y = 2

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

3 x^{2} + (1 - i) x + 3 i = 0

x^{2} + (4 - 2 i) x - (1 + i) = 0

x^{2} - 4 x + 40 = 2 - 6 i

(x + i y) (2 + 1) = 3 - i