What is the answer to 3x-2yi=6+4i ?

The answer to 3x-2yi=6+4i is x=2,y=-2

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3x-2yi=6+4i

3 x - 2 y i = 6 + 4 i

x = 2, y = - 2

Solution steps

3 x - 2 y i = 6 + 4 i

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

[3 x = 6 - 2 y = 4]

[3 x = 6 - 2 y = 4] : x = 2, y = - 2

x = 2, y = - 2

p (2 i + 6 j) + q (2 i - 4 j) = 6 i - 7 j

(3 + i) x^{2} + 10 x - (9 + 3 i) = 0

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

x^{2} + (i - 2) x + (2 - i) = 0

x^{2} - i x + 2 = 0