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Quadratic Quandary (Posted on 2013-11-04) Difficulty: 3 of 5
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

No Solution Yet Submitted by K Sengupta    
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Solution re: approximate - exact | Comment 2 of 6 |
(In reply to approximate by Jer)

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

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

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

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