What is the answer to 2x-4yi=10-5i ?

The answer to 2x-4yi=10-5i is x=5,y= 5/4

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2x-4yi=10-5i

2 x - 4 y i = 10 - 5 i

x = 5, y = \frac{5}{4}

Solution steps

2 x - 4 y i = 10 - 5 i

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

[2 x = 10 - 4 y = - 5]

[2 x = 10 - 4 y = - 5] : x = 5, y = \frac{5}{4}

x = 5, y = \frac{5}{4}

\frac{( z - i )}{z} = 2 + i

(3 + bi) (3 + d i) = 11 - 3 i

(x + y i) + (4 + 6 i) = 7 - 2 i

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

(x + y i) - (- 8 + 11 i) = 5 + 9 i