g(x) is a quadratic function given by:
g(x) = x² + 12x + 30.

Determine all possible real roots of this equation:
g(g(g(g(g(x))))) = 0

(In reply to approximate by Jer)

on closer inspection the
(-12+√(12²-4(30-[ans]))/2 [enter]
simplifies to
-6+√(6+[ans])

if you plug this into itself you get
-6+√(6+[-6+√(6+[ans])] = -6+√√(6+[ans]) = -6 + (6+ans)^(1/4)
if you do this five times and since the original [ans]=0
you get the exact solution
-6+6^(1/32)

Posted by Jer on 2013-11-04 15:49:37