## anonymous 4 years ago The sum of two numbers is 6 times their geometric mean. ? Show that the numbers are in the ratio (3+2sqrt2) : (3-2sqrt2).

1. helder_edwin

if x and y are the number then $\large x+y=6\sqrt{xy}$

2. anonymous

I know that .. am stuck in the middle :/

3. tkhunny

It ALWAYS helps when you show your own work. This entirely avoids situations where you feel a need to say "I know that". Square both sides, but remember that x*y > 0

4. anonymous

okay can i just directly write down the step where am stuck ? because i really dont have much time !