What is the answer to (2x+3iy)(i+3)^3=2(i+3) ?

The answer to (2x+3iy)(i+3)^3=2(i+3) is x= 2/25 ,y=-1/25

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(2x+3iy)(i+3)^3=2(i+3)

(2 x + 3 i y) (i + 3)^{3} = 2 (i + 3)

x = \frac{2}{25}, y = - \frac{1}{25}

Solution steps

(2 x + 3 i y) (i + 3)^{3} = 2 (i + 3)

Expand

(36 x - 78 y) + i (52 x + 54 y) = 2 i + 6

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

[36 x - 78 y = 6 52 x + 54 y = 2]

[36 x - 78 y = 6 52 x + 54 y = 2] : x = \frac{2}{25}, y = - \frac{1}{25}

x = \frac{2}{25}, y = - \frac{1}{25}

x - y i = 3

3 x - i y = - i + 1

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

x, 9 x - 7 i = 3 (3 x - 7 u)

c = d i

What is the answer to (2x+3iy)(i+3)^3=2(i+3) ?
The answer to (2x+3iy)(i+3)^3=2(i+3) is x= 2/25 ,y=-1/25