What is the answer to x+3yi=4-7i ?

The answer to x+3yi=4-7i is x=4,y=-7/3

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x+3yi=4-7i

x + 3 y i = 4 - 7 i

x = 4, y = - \frac{7}{3}

Solution steps

x + 3 y i = 4 - 7 i

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

[x = 4 3 y = - 7]

[x = 4 3 y = - 7] : x = 4, y = - \frac{7}{3}

x = 4, y = - \frac{7}{3}

(5 + 9 i)^{2} = a + bi

Z^{2} - 2 i Z + 3 = 0

(2 - 2 i) z^{2} - (11 + 9 i) z - 16 + 6 i = 0

a + bi = - 10 + 6 i

x^{2} = - 18 i