# Difference between revisions of "2014 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 2"

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− | If <math>f(x) = x^ | + | If <math>f(x) = x^2+6x^2+12x+6</math>, solve the equation <math>f(f(f(x))) = 0.</math> |

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+ | == Solution == | ||

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+ | Note that <math>f(x)=(x+2)^3-2</math>. Thus <math>f(f(f(x)))=(x+2)^{27}-2</math>. Setting this equal to zero and solving for <math>x</math>, we have <math>\boxed{x=-2+\sqrt[27]{2}}</math> | ||

== See also == | == See also == |