What is the answer to 2x+51=4(2+yi)-12 ?

The answer to 2x+51=4(2+yi)-12 is x=-55/2 ,y=0

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2x+51=4(2+yi)-12

2 x + 51 = 4 (2 + y i) - 12

x = - \frac{55}{2}, y = 0

Solution steps

2 x + 51 = 4 (2 + y i) - 12

Rewrite

2 x + 51

in standard complex form:

(2 x + 51) + 0 i

(2 x + 51) + 0 i = 4 (2 + y i) - 12

Rewrite

4 (2 + y i) - 12

in standard complex form:

- 4 + 4 y i

(2 x + 51) + 0 i = - 4 + 4 y i

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

[2 x + 51 = - 4 0 = 4 y]

[2 x + 51 = - 4 0 = 4 y] : x = - \frac{55}{2}, y = 0

x = - \frac{55}{2}, y = 0

z^{2} - (1 + 9 i) z - 20 + 5 i = 0

z = z (a + i)

\frac{x + 1 + i ( y - 3 )}{5 + 3 i} = 1 + i

v \cdot v = i - 5 j

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

What is the answer to 2x+51=4(2+yi)-12 ?
The answer to 2x+51=4(2+yi)-12 is x=-55/2 ,y=0