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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 approximate | Comment 1 of 6
A graph of g(x) is a parabola with a minimum at (-6,-6)
A graph of g(x) - c is a parabola with a minimum at (-6,-6-c)
The interesting thing about this is g(x)-c  has two roots, one less than -6 and the other greater than -6.  But if c is less than -6 the roots are imaginary.
So if we work backwards we only need the + of the ħin the quadratic formula.
So here is what I did on my calculator:
0 [enter]
(-12+√(12²-4(30-[ans]))/2 [enter]

  Posted by Jer on 2013-11-04 15:43:48
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