Linear Algebra Proof

• September 1st 2009, 07:26 AM
eg37se
Linear Algebra Proof
Question:
Suppose a and b are real numbers, not both 0. Find real numbers c and d such that 1/(a+bi)=c+di. (i as in the imaginary number.)

So far I have reworked the equation into

Not sure where to go from here. Just need a little push in the right direction. THANKS!!!
• September 1st 2009, 07:32 AM
Plato
Quote:

Originally Posted by eg37se
Question:
Suppose a and b are real numbers, not both 0. Find real numbers c and d such that 1/(a+bi)=c+di. (i as in the imaginary number

$\frac{1}
{{x + iy}} = \frac{{x - iy}}
{{x^2 + y^2 }}$
• September 1st 2009, 07:39 AM
eg37se
Thanks!!!.