Find the complex number which satisfies the given equation

[chwala]

Homework Statement

see attached

Relevant Equations

complex numbers

Find the problem here; ( i do not have the solutions...i seek alternative ways of doing the problems)

ok, i let $z=x+iy$ and $z^*= x-iy$... i ended up with the simultaneous equation;
$2x+y=4$
$x+2y=-1$

$x=1$ and $y=2$

therefore our complex number is $z=1+2i$

 

[fresh_42]

Homework Statement:: see attached
Relevant Equations:: complex numbers

Find the problem here; ( i do not have the solutions...i seek alternative ways of doing the problems)

View attachment 297755


ok, i let $z=x+iy$ and $z^*= x-iy$... i ended up

How?

with the simultaneous equation;
$2x+y=4$
$x+2y=-1$

$x=1$ and $y=2$

$1+2\cdot 2 =5 \neq -1$

therefore our complex number is $z=1+2i$

 

[chwala]

How?

$1+2\cdot 2 =5 \neq -1$

let me check this...

 

[chwala]

Arrrgh
$x=3$ and $y=-2$ ...sign error on my simultaneous equation...i guess its best to solve this questions over the weekend...i rush on this due to other work...

 

[chwala]

How?

fresh from complex numbers we know that, if $w=a+in$ then $w^* =a-in$

 

[fresh_42]

I meant: How you ended up with these equations, not how conjugation is defined, i.e. show your steps.

 

[chwala]

I meant: How you ended up with these equations, not how conjugation is defined, i.e. show your steps.

Ooh ok...noted Fresh...