SOLUTION: Do all complex numbers in the form a-bi/bi-a result in -1 and Why?

Question 1011591: Do all complex numbers in the form a-bi/bi-a result in -1 and Why?
Found 3 solutions by josgarithmetic, ikleyn, MathLover1:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
Yes.

You wrote this: a-bi/bi-a

The steps go this way:
a-1-a
a+(-1)+(-a)
a+(-a)+(-1)
0+(-1)
-1

You can identify the Number Properties used in the steps if you want to refer to them.
Answer by ikleyn(52787)   (Show Source): You can put this solution on YOUR website!
.
Do you know that bi - a = -a + bi = -(a - bi) ?

If you know it, then

= = -1.

This is why.

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
answer is yes, and here is why:

...to eliminate from denominator, multiply both numerator and denominator by

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