What is the answer to x+3i+3=5+yi ?

The answer to x+3i+3=5+yi is x=2,y=3

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x+3i+3=5+yi

x + 3 i + 3 = 5 + y i

x = 2, y = 3

Solution steps

x + 3 i + 3 = 5 + y i

Rewrite

x + 3 i + 3

in standard complex form:

(x + 3) + 3 i

(x + 3) + 3 i = 5 + y i

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

[x + 3 = 5 3 = y]

[x + 3 = 5 3 = y] : x = 2, y = 3

x = 2, y = 3

z^{2} + (1 - i) \cdot z - i = 0

12 + i = 3 i z^{2} + (4 + 3 i) z

v iii + d l xxxv iii = l xxx

\frac{1}{z} = \frac{2 + 8 i}{8 i}

z^{2} = - 3 + 4 i