What is the answer to x+y*i=i ?

The answer to x+y*i=i is x=0,y=1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x+y*i=i

x + y \cdot i = i

x = 0, y = 1

Solution steps

x + y i = i

Rewrite

x + y \cdot i

in standard complex form:

x + y i

x + y i = i

Rewrite

i

in standard complex form:

0 + i

x + y i = 0 + i

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

[x = 0 y = 1]

[x = 0 y = 1] : x = 0, y = 1

x = 0, y = 1

\frac{x}{1 + i} + \frac{y}{1 - 2 i} = 1

x, x^{2} y + sin (y) = 2 π

2 x + y + (x - y) i = 7 + 8 i

x^{2} - 5 i x + 6 = 0

t, \frac{q}{t} = 2 i