SOLUTION: X=sqrt(4+sqrt(4-sqrt(4+sqrt(4-.........upto infinity. find x.

Question 60418: X=sqrt(4+sqrt(4-sqrt(4+sqrt(4-.........upto infinity.
find x.
Answer by joyofmath(189) (Show Source): You can put this solution on YOUR website!
x=sqrt(4+sqrt(4-sqrt(4+sqrt(4-...

Then,
Or,
Or,
Or,
Or,
This is a 4th degree, or quartic, polynomial.
There's a quartic equation solver here: http://www.1728.com/quartic.htm

Plug in 1, 0, -8, 1, and 12 as values for A, B, C, D, E. The value for X2 (2.3027756477...) is correct in that that value of x satisfies the equation: and the sum looks like it's a bit bigger then 2.

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