What is the answer to 3b-2ai=4-3i ?

The answer to 3b-2ai=4-3i is a= 3/2 ,b= 4/3

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3b-2ai=4-3i

3 b - 2 ai = 4 - 3 i

a = \frac{3}{2}, b = \frac{4}{3}

Solution steps

3 b - 2 ai = 4 - 3 i

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

[3 b = 4 - 2 a = - 3]

[3 b = 4 - 2 a = - 3] : a = \frac{3}{2}, b = \frac{4}{3}

a = \frac{3}{2}, b = \frac{4}{3}

∣ z + 3 - 4 i ∣ = 2

2 x + 9 y i = 16 - 12 i

z^{2} = 96 + 40 i

a - ib = - 1 b + ia

z^{2} - 2 i z - 1 - 3 i = 0