Continuous Fraction/ 连分数

I am stuck on a question about a continued fraction, which is to find the EXACT value of:

[5;6,5,6,5,6,5...]

can somebody do that for me please?

If you are not sure what that means, go to this website and take a look
http://zh.wikipedia.org/wiki/%E8%BF%9E%E5%88%86%E6%95%B0

To give an example, I have done another one that is

sqrt(6+sqrt(6+sqrt(6+sqrt(6...))))

and my solution to that one was

let x be the number
so x^2 = 6+sqrt(6+sqrt(6+sqrt(6...))))
and that means x^2 = x + 6
and I solved the quadratic equation of x^2+x+6=0

I have to hand this in tomorrow so please help me!!