What is the answer to (3-6i)(2-ai)=x ?

The answer to (3-6i)(2-ai)=x is x=30,a=-4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(3-6i)(2-ai)=x

(3 - 6 i) (2 - ai) = x

x = 30, a = - 4

Solution steps

(3 - 6 i) (2 - ai) = x

Expand

(3 - 6 i) (2 - ai) : (6 - 6 a) + i (- 12 - 3 a)

(6 - 6 a) + i (- 12 - 3 a) = x

Rewrite

x

in standard complex form:

x + 0 i

(6 - 6 a) + i (- 12 - 3 a) = x + 0 i

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

[6 - 6 a = x - 12 - 3 a = 0]

[6 - 6 a = x - 12 - 3 a = 0] : x = 30, a = - 4

x = 30, a = - 4

z - 2 x + 7 - 6 i = 0

3 + 8 i = x + y i

∣ z - 3 i ∣ = 3

∣ z - 3 i ∣ = 5

y = in (2 x), y, y = 1, y = 6

What is the answer to (3-6i)(2-ai)=x ?
The answer to (3-6i)(2-ai)=x is x=30,a=-4