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Find the value of \(6+\frac{1}{6+\frac{1}{6+\frac{1}{6+\frac{1}{6+\cdots}}}}\). Your answer should be in the form of a+b*sqrt(c) where no factor of c (other than 1) is a square. Find a+b+c

 Feb 10, 2022
 #1
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If  x  is the answer, this problem reduces to:  x  =  6 + 1/x.

 

Simplify and use the quadratic formula.

 Feb 11, 2022

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