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

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

Mathematics
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if x and y are the number then \[ \large x+y=6\sqrt{xy} \]
I know that .. am stuck in the middle :/
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

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

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