# Thread: Equation set based on the Fibinocci Sequence

1. ## Equation set based on the Fibonacci Sequence

Okay, so it's been forever and a day since I did any real math that deserves to be called that. This isn't for any class or anything more than my own peace of mind. As such I'm not entirely sure this is where I should be posting this, so if it needs/can be moved to a more relevant forum. Please do.

Okay so here's the problem. I'd like to come up with a graphable solution that satisifies these three equations.
X+y=z, y/x=phi, z/y=phi

I've tried a number of things with no success.

I'd be very appreciative if someone could point me in the right direction as to how to go about doing so. I've derived the equation ((x/phi)+x)/x=phi, as well as (x/phi)+x=y. But neither seem to get me a graphable solution or even a single real answer. Thanks in advance for any advice.

2. Originally Posted by Thuleando
((x/phi)+x)/x=phi
This equation simplifys to give $\displaystyle \phi=\phi$

not much help really

Originally Posted by Thuleando
(x/phi)+x=y
this one gives a linear relationship between y and x

$\displaystyle \frac{x}{\phi}+x=y$

$\displaystyle \left(\frac{1}{\phi}+1\right)x=y$

$\displaystyle y= \left(\frac{1}{\phi}+1\right)x$