SOLUTION: The two complex numbers z sub1=a/1+i and z sub2=b/1-2i where a,b, is an element of R (all real numbers), are such that z1+z2=3 Calculate the value of a and b. No idea Please he

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: The two complex numbers z sub1=a/1+i and z sub2=b/1-2i where a,b, is an element of R (all real numbers), are such that z1+z2=3 Calculate the value of a and b. No idea Please he      Log On


   

Question 245744: The two complex numbers z sub1=a/1+i and z sub2=b/1-2i where a,b, is an element of R (all real numbers), are such that z1+z2=3
Calculate the value of a and b.
No idea Please help!
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!






And



So:



First rationalize both denominators:






Apply the LCD



Multiply by 10



But

And we know that , so:



and



Just solve the linear system for and

John