What is the answer to x+1+2yi=3-6i ?

The answer to x+1+2yi=3-6i is x=2,y=-3

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x+1+2yi=3-6i

x + 1 + 2 y i = 3 - 6 i

x = 2, y = - 3

Solution steps

x + 1 + 2 y i = 3 - 6 i

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

[x + 1 = 3 2 y = - 6]

[x + 1 = 3 2 y = - 6] : x = 2, y = - 3

x = 2, y = - 3

∣ z ∣ - z = 2 + 1 i

4 x - i y = 8 + 7 i

3 x + 6 i = 27 + y i

z, z^{2} = (x + i y)^{2}

∣ 2 i + 6 j + 2 ik - 4 jk ∣ = 5