Use Newton's method to approximate a root of the equation
arctan
(
x
)
5.6
=
2.8
ln
(
x
)
\displaystyle \frac{{\arctan{{\left({x}\right)}}}}{{5.6}}={2.8}{\ln{{\left({x}\right)}}}
5.6
arctan
(
x
)
=
2.8
ln
(
x
)
as follows.
Enter your root with at least 5 decimal places.
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\displaystyle
Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity
Enter your answer accurate to 5 decimal places.