The Golden Equation
Algebra
Level
4
\[\sqrt{1+\frac{1}{1+x}}+\frac{1}{\sqrt{1+x}} = \sqrt{x}+\frac{1}{\sqrt{x}}\]
Which of the following is the root of the above equation?
\(\)
Note: \(\phi=\frac{\sqrt5+1}{2}\) and denotes the golden ratio.
by
Rohit Udaiwal