perplexus.info :: Just Math : Quadratic Quandary

Quadratic Quandary (Posted on 2013-11-04)

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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Jer seems right; I must have erred somewhere

| Comment 4 of 6 |

(In reply to re: approximate - exact by Jer)

x=-6+6^(1/32)
OK
x=x*x+12*x+30
OK
?x
-4.8815039540261781407
OK
x=x*x+12*x+30
OK
?x
-4.7489665951409261777
OK
x=x*x+12*x+30
OK
?x
-4.4349154199267126869
OK
x=x*x+12*x+30
OK
?x
-3.5505102572168219129
OK
x=x*x+12*x+30
OK
?x
-0.0000000000000000548

Posted by Charlie on 2013-11-04 15:58:22

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