What is the answer to 8i+12=(4x)i-2y ?

The answer to 8i+12=(4x)i-2y is x=2,y=-6

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8i+12=(4x)i-2y

8 i + 12 = (4 x) i - 2 y

x = 2, y = - 6

Solution steps

8 i + 12 = (4 x) i - 2 y

Rewrite

8 i + 12

in standard complex form:

12 + 8 i

12 + 8 i = (4 x) i - 2 y

Rewrite

(4 x) i - 2 y

in standard complex form:

- 2 y + 4 x i

12 + 8 i = - 2 y + 4 x i

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

[12 = - 2 y 8 = 4 x]

[12 = - 2 y 8 = 4 x] : x = 2, y = - 6

x = 2, y = - 6

x^{2} + i = 0

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

∣ z - 1 + i ∣ = 1

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

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