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Math Help - Linear Algebra Proof

  1. #1
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    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

    1=ac+adi+cbi-bd.

    Not sure where to go from here. Just need a little push in the right direction. THANKS!!!
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  2. #2
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    Quote Originally Posted by eg37se View Post
    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}<br />
{{x + iy}} = \frac{{x - iy}}<br />
{{x^2  + y^2 }}
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  3. #3
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    Thanks!!!.
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