What is the answer to (26+28i)/(2+i)=a+bi ?

The answer to (26+28i)/(2+i)=a+bi is a=0,b=22

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(26+28i)/(2+i)=a+bi

\frac{26 + 28 i}{2 + i} = a + bi

a = 0, b = 22

Solution steps

\frac{26 + 28 i}{2 + i} = a + bi

Simplify

\frac{26 + 28 i}{2 + i} : 22 i

22 i = a + bi

Rewrite

22 i

in standard complex form:

0 + 22 i

0 + 22 i = a + bi

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

[0 = a 22 = b]

[0 = a 22 = b] : a = 0, b = 22

a = 0, b = 22

a + bi = 9 + 8 i

2 i x + 3 = y - i

2 + 3 i = x + y i

(x + y i)^{2} - 3 i (x + y i) + 5 i = 0

x^{2} + 8 i = 0

What is the answer to (26+28i)/(2+i)=a+bi ?
The answer to (26+28i)/(2+i)=a+bi is a=0,b=22