# Tau and phi (conjugates?) fibonacci sequence

1. Jul 3, 2011

### vanmaiden

1. The problem statement, all variables and given/known data
Would tau and phi be considered conjugates?

2. Relevant equations
$\tau$ = $\frac{1-\sqrt{5}}{2}$
$\phi$ = $\frac{1+\sqrt{5}}{2}$

3. The attempt at a solution
I know that a complex number such as 1+2i would have 1-2i as a conjugate. However, for fractions, I can't quite remember if the same rule applies.

2. Jul 4, 2011

### lanedance

yes, the reason is tau x phi will give a results with not square roots in the expression

similarly for complex numbers, the result of multiplying conjugates is real

3. Jul 4, 2011

### vanmaiden

Thank you! This will help me better understand the binet formula