Talk:Golden ratio

For example, if b = 1 and a/b = $\varphi$ , then a = $\varphi$ . The second ratio (a+b)/a is then $(\varphi +1)/\varphi$ . Because these two ratios are equal, this is true:

$\varphi ={\frac {\varphi +1}{\varphi }}$

WRONG
a NOT EQUAL $\varphi$ , where did you get that idea that a equals to $\varphi$ ? Let's make it simpler, if b = 1 and a/b = x, then a = x? That doesn't make any sense. Needs to be rewrited and checked. 78.110.160.85 (talk) 18:31, 11 January 2011 (UTC)[reply]

Please feel free to rewrite and check yourself. :-) You have editing privileges. I am dying from chemotherapy and other tortures and cannot do it. --George Gesslein II (talk) 19:46, 11 January 2011 (UTC)[reply]

Well I need to know how this formula:

$\varphi ={\frac {1+{\sqrt {5}}}{2}}$

was achieved. 78.110.160.85 (talk) 20:55, 11 January 2011 (UTC)[reply]

That number (phi) is derived by solving the simple quadratic equation a=(a+1)/a for a. :-) --George Gesslein II (talk) 00:45, 12 January 2011 (UTC)[reply]