What is the answer to (x+iy)(4i)=8 ?

The answer to (x+iy)(4i)=8 is x=0,y=-2

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(x+iy)(4i)=8

(x + i y) (4 i) = 8

x = 0, y = - 2

Solution steps

(x + i y) (4 i) = 8

Simplify

(x + i y) (4 i) : - 4 y + 4 i x

- 4 y + 4 i x = 8

Rewrite

8

in standard complex form:

8 + 0 i

- 4 y + 4 i x = 8 + 0 i

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

[- 4 y = 8 4 x = 0]

[- 4 y = 8 4 x = 0] : x = 0, y = - 2

x = 0, y = - 2

\frac{1285}{8} - 60 i = 1 0^{6} M^{2}

x + y i = (1 - i)^{2}

\frac{1 + z}{1 - z} = 8 i - 5

\frac{1 + 2 z}{3 + 2 z} = i

\frac{- 1}{b + i} = \frac{1}{- b + i}