Question

If 2i-2+i - 2i/3+i = a+bi then a= and b=

Answer 1

a=-2 and b=10/3

Explanation:

Given that
`2i-2+i-(2i)/(3)+i=a+bi`.

`\Rightarrow -2+2i+i-(2i)/(3)+i=a+bi \\\\\Rightarrow -2+(2+1-2/3+1)i=a+bi \\\\\Rightarrow -2+(10)/(3)i=a+bi`

On comparing the real and imaginary parts, we have

a=-2 and b=10/3.