What is the answer to z_{1}+iz_{2}=1 ?

The answer to z_{1}+iz_{2}=1 is z_{1}=1,z_{2}=0

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

z_{1}+iz_{2}=1

z_{1} + i z_{2} = 1

z_{1} = 1, z_{2} = 0

Solution steps

z_{1} + i z_{2} = 1

Rewrite

1

in standard complex form:

1 + 0 i

z_{1} + i z_{2} = 1 + 0 i

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

[z_{1} = 1 z_{2} = 0]

[z_{1} = 1 z_{2} = 0] : z_{1} = 1, z_{2} = 0

z_{1} = 1, z_{2} = 0

x^{2} = - 2 - 23 i

i = \frac{z + i}{z + 2}

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

(a + i)^{2} = 8 - 6 i

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

What is the answer to z_{1}+iz_{2}=1 ?
The answer to z_{1}+iz_{2}=1 is z_{1}=1,z_{2}=0