What is the answer to 5x+7yi=-x-7i ?

The answer to 5x+7yi=-x-7i is x=0,y=-1

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5x+7yi=-x-7i

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

x = 0, y = - 1

Solution steps

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

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

[5 x = - x 7 y = - 7]

[5 x = - x 7 y = - 7] : x = 0, y = - 1

x = 0, y = - 1

z^{2} - (1 - 2 i) z + (2 + 14 i) = 0

3 b - 2 ai = 4 - 3 i

∣ z + 3 - 4 i ∣ = 2

2 x + 9 y i = 16 - 12 i

z^{2} = 96 + 40 i