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## Homework Statement

z

_{1}, z

_{2}are complex numbers.

If z

_{1}z

_{2}=/= -1

and |z

_{1}| = |z

_{2}| = 1

then number :

z

_{1}+ z

_{2}

________

1 + z

_{1}z

_{2}

is real.

## Homework Equations

## The Attempt at a Solution

z1 = (a+bi), z2 = (c+di)[/B]

Should i use this extended form or is there a shorter path ? because it's pretty long.

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