Wolfram Alpha gives
x˜=2.5766641903207896155107957065447979650
as the only real solution.
There are also four complex solutions.
Alternative:
x=5;
prev=0;
while abs(prev-x)>.0000000000001
prev=x;
x=(111+x)^(1/5)
end
gives successively better approximations:
x =
2.58756696440857
x =
2.57671365771645
x =
2.57666441476979
x =
2.57666419133919
x =
2.57666419032541
x =
2.57666419032081
x =
2.57666419032079
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Posted by Charlie
on 2023-02-25 08:18:35 |
two ways
