What is the answer to x+iy-1+i=3 ?

The answer to x+iy-1+i=3 is x=4,y=-1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x+iy-1+i=3

x + i y - 1 + i = 3

x = 4, y = - 1

Solution steps

x + i y - 1 + i = 3

Rewrite

x + i y - 1 + i

in standard complex form:

(x - 1) + (y + 1) i

(x - 1) + (y + 1) i = 3

Rewrite

3

in standard complex form:

3 + 0 i

(x - 1) + (y + 1) i = 3 + 0 i

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

[x - 1 = 3 y + 1 = 0]

[x - 1 = 3 y + 1 = 0] : x = 4, y = - 1

x = 4, y = - 1

\frac{( x + i y )}{x - i y} = - i

x^{2} - 1 = i

x^{2} - (7 + 3 i) x + (10 + 11 i) = 0

∣ a - 1 + 2 i ∣ = 3

z - (1 + i) w = 2