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Sum of real Roots (Posted on 2013-01-27) Difficulty: 3 of 5
What is the sum of the real roots of (2+(2+(2+x)2)2)2=2000.

No Solution Yet Submitted by Danish Ahmed Khan    
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re: Agreement | Comment 3 of 6 |
(In reply to Agreement by xdog)

Iterating to a solution (change of sign after subtracting 2000 from each side), via (in its final form):

DEFDBL A-Z
PRINT : PRINT
FOR x = -4.12982578125# TO -4.1298257812# STEP .000000000001#
  y = (2 + (2 + (2 + x) ^ 2) ^ 2) ^ 2 - 2000
  PRINT x, y
NEXT

PRINT : PRINT
FOR x = .129825781# TO .129825782# STEP .0000000001#
  y = (2# + (2# + (2# + x) ^ 2) ^ 2) ^ 2 - 2000
  PRINT x, y
NEXT

I get approx.  0.1298257812 and -4.1298257812, still adding to -4.


  Posted by Charlie on 2013-01-28 14:08:43
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