Nested everything
Algebra
Level
3
We define \(x^{x^{x^{x^{...}}}}=3\)
\(y=\sqrt{4{\sqrt{4{\sqrt{4{\sqrt{...}}}}}}}\)
\(z=\sqrt{5+\sqrt{5+{\sqrt{5+\sqrt{...}}}}}\)
If \(x^{3} +y+z=\frac{a+\sqrt{b}}{c}\) find \(\frac{a+b}{3c}\)
by
Hjalmar Orellana Soto