What is the answer to (x-3i)-(15+xi)=7-12i ?

The answer to (x-3i)-(15+xi)=7-12i is x= 31/2+i 13/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(x-3i)-(15+xi)=7-12i

(x - 3 i) - (15 + x i) = 7 - 12 i

x = \frac{31}{2} + i \frac{13}{2}

Solution steps

(x - 3 i) - (15 + x i) = 7 - 12 i

Group the real part and the imaginary part of the complex number

(a + bi) \pm (c + d i) = (a \pm c) + (b \pm d) i

(x - 15) + (- 3 - x) i = 7 - 12 i

Remove parentheses:

(a) = a

x - 15 + i (- 3 - x) = 7 - 12 i

Move

15

to the right side

x + i (- 3 - x) = 22 - 12 i

Expand

i (- 3 - x) : - 3 i - i x

x - 3 i - i x = 22 - 12 i

Move

3 i

to the right side

x - i x = 22 - 9 i

Factor

x - i x : (1 - i) x

(1 - i) x = 22 - 9 i

Divide both sides by

1 - i

x = \frac{31}{2} + i \frac{13}{2}

- 18 b = 32

x^{2} + 16 x = 0

6 x^{2} \cdot 6 x^{3} y^{4}

6 b < 36 or 2 b + 12 > 6

x^{2} - 64 \geq 0

What is the answer to (x-3i)-(15+xi)=7-12i ?
The answer to (x-3i)-(15+xi)=7-12i is x= 31/2+i 13/2