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

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

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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) (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

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