SOLUTION: Find real numbers a and b such that: (a+2i)(1+bi)=17-19i (i as in imaginary) Thank you :D

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Find real numbers a and b such that: (a+2i)(1+bi)=17-19i (i as in imaginary) Thank you :D      Log On


   

Question 387560: Find real numbers a and b such that:
(a+2i)(1+bi)=17-19i
(i as in imaginary)
Thank you :D
Answer by Jk22(389) About Me  (Show Source):
You can put this solution on YOUR website!
(a+2i)(1+bi)=a-2b+i(2+ab)=17-19i

a-2b=17, 2+ab=-19, ab=-21, 21=3*7, try

a b---: a-2b
-3 7--:-3-14=-17

the solution is a=-3, b=7