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Old November 7th, 2009, 07:41 AM
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Determine the exact value of √(10 + √(10 + √(10 + ....))) it goes on forever
Show all steps and explain most of them

Last edited by mr fantastic; November 7th, 2009 at 02:12 PM. Reason: Changed post title
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Old November 7th, 2009, 09:03 AM
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let x= \sqrt{10+\sqrt{10+\sqrt{10+......}}}
therefore
x= \sqrt{10+x}
taking square both side
x^2= (10+x)
x^2-x-10=0
now solve the quadratic equation .........
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Old November 7th, 2009, 02:08 PM
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Originally Posted by shane99 View Post
Determine the exact value of √(10 + √(10 + √(10 + ....))) it goes on forever
Show all steps and explain most of them
No, that's not how it works. You do not make demands like that. You show what you can do and then say where you're stuck.

I see you've been given a massive start on how to do this question. So now it's your turn. If you need more help, say what you've done and where you get stuck.
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