The complex number z satisfies the equation z+2iz*=12+9i. Find z giving your answer in the form x+iy.

5 answers

if z = a+bi,

a+bi + 2i(a-bi) = 12 + 9i
a+2b + (2a+b)i = 12 + 9i

a+2b=12
2a+b=9

a = 2
b = 5

z = 2+5i
so you do a simultaneous equation by equating the variables?
I don't quite understand the second line
you didn't expand the brakets
OOOOHHHHHH get it now!! thank you Steve!!
Nice when the light bulb turns on, isn't it?
Similar Questions
  1. Find the complex conjugate of the giving number3+6i write your answer in the form a +bi
    1. answers icon 1 answer
  2. How do i solve this problem?Find the polar form of the complex number where the argument satisfies 0≤θ≤2π. 0+3i
    1. answers icon 3 answers
  3. the complex number Z satisfiesZ/(Z+4)= 3+2i Find Z. please help thx!
    1. answers icon 4 answers
  4. the complex number Z satisfiesZ+i/(1+2i)= iz Find Z. please help thx!
    1. answers icon 1 answer
more similar questions