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Math Help - solve for z & a

  1. #1
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    solve for z & a

     \mid z \mid = 1
    \mid a \mid < -1

    \left|\frac{z-a}{1-\overline{a}z}\right|

    i tried:
     z = x + yi
     a = a + bi


    \left|\frac{z-a}{1-\overline{a}z}\right| =
     = \left|\frac{x + yi - i(a + bi)}{1- (a - bi) (x + yi)}\right|

    and got nothing useful.. is there any other way? how do you solve this?
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  2. #2
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    Quote Originally Posted by metlx View Post
     \mid z \mid = 1
    \mid a \mid < -1

    \left|\frac{z-a}{1-\overline{a}z}\right|

    i tried:
     z = x + yi
     a = a + bi


    \left|\frac{z-a}{1-\overline{a}z}\right| =
     = \left|\frac{x + yi - i(a + bi)}{1- (a - bi) (x + yi)}\right|

    and got nothing useful.. is there any other way? how do you solve this?

    To solve...what? There's no equation here.

    Tonio
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  3. #3
    Member
    Joined
    Dec 2008
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    152
    oops.. sorry. i must have missed some of the given info. I will fix it.
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