What is the answer to 4(4i+6)=(4x)i+8y ?

The answer to 4(4i+6)=(4x)i+8y is x=4,y=3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4(4i+6)=(4x)i+8y

4 (4 i + 6) = (4 x) i + 8 y

x = 4, y = 3

Solution steps

4 (4 i + 6) = (4 x) i + 8 y

Rewrite

4 (4 i + 6)

in standard complex form:

24 + 16 i

24 + 16 i = (4 x) i + 8 y

Rewrite

(4 x) i + 8 y

in standard complex form:

8 y + 4 x i

24 + 16 i = 8 y + 4 x i

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

[24 = 8 y 16 = 4 x]

[24 = 8 y 16 = 4 x] : x = 4, y = 3

x = 4, y = 3

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

2 a + 2 bi = 2 (a + bi) + 9

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

i z + ∣ z ∣ + 3 i = 1

i (q) = 3 - q + q^{2}

What is the answer to 4(4i+6)=(4x)i+8y ?
The answer to 4(4i+6)=(4x)i+8y is x=4,y=3