What is the answer to 2x+3yi=10+18i ?

The answer to 2x+3yi=10+18i is x=5,y=6

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2x+3yi=10+18i

2 x + 3 y i = 10 + 18 i

x = 5, y = 6

Solution steps

2 x + 3 y i = 10 + 18 i

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

[2 x = 10 3 y = 18]

[2 x = 10 3 y = 18] : x = 5, y = 6

x = 5, y = 6

(x + y i)^{2} = 3 + 4 i

3 x + 5 y - 7 = - 2 i y + i x + 5 i

r = 6 e^{\frac{π}{3} i}

(x + i y)^{2} + 1 = 1

2 x + y i - 3 i = 3 y - 4 + x i