El profesor se sorprenderá mucho al ver tu solución correcta😉
/ 2 \ log\3*x - 2*x/ = 1 - log(x*2)
/ _________________________________________ / _________________________________________ / _________________________________________\\\ / _________________________________________\ _________________________________________ / _________________________________________\ | / _______________________ | / _______________________ | / _______________________ ||| | / _______________________ | / _______________________ | / _______________________ | | ___ 3 ___ ___ 3 / / 2 ___ | 2/3 3 / / 2 | 3 ___ 3 / / 2 ||| ___ | ___ 3 ___ ___ 3 / / 2 | 2/3 3 / / 2 | 3 ___ 3 / / 2 | | \/ 3 \/ 2 *\/ 3 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E \/ 3 *\- 32*2 + \/ 32 + \/ -1024 + (32 + 243*E) + 243*E *\8 + 2*\/ 2 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E //| \/ 3 *\- 8*\/ 3 + 2*\/ 2 *\/ 3 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E / - 32*2 + \/ 32 + \/ -1024 + (32 + 243*E) + 243*E *\8 + 2*\/ 2 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E / x1 = I*|- ----- + --------------------------------------------------------- + -----------------------------------------------------------------------------------------------------------------------------| - ------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------- | 18 72 _________________________________________ | 144 _________________________________________ | / _______________________ | / _______________________ | 3 / / 2 | 3 / / 2 \ 144*\/ 32 + \/ -1024 + (32 + 243*E) + 243*E / 144*\/ 32 + \/ -1024 + (32 + 243*E) + 243*E
/ _________________________________________ / _________________________________________ / _________________________________________\\\ / _________________________________________\ _________________________________________ / _________________________________________\ | / _______________________ | / _______________________ | / _______________________ ||| | / _______________________ | / _______________________ | / _______________________ | | ___ 3 ___ ___ 3 / / 2 ___ | 2/3 3 / / 2 | 3 ___ 3 / / 2 ||| ___ | ___ 3 ___ ___ 3 / / 2 | 2/3 3 / / 2 | 3 ___ 3 / / 2 | |\/ 3 \/ 2 *\/ 3 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E \/ 3 *\- 32*2 + \/ 32 + \/ -1024 + (32 + 243*E) + 243*E *\8 + 2*\/ 2 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E //| \/ 3 *\8*\/ 3 - 2*\/ 2 *\/ 3 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E / - 32*2 + \/ 32 + \/ -1024 + (32 + 243*E) + 243*E *\8 + 2*\/ 2 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E / x2 = I*|----- - --------------------------------------------------------- - -----------------------------------------------------------------------------------------------------------------------------| + ----------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------- | 18 72 _________________________________________ | 144 _________________________________________ | / _______________________ | / _______________________ | 3 / / 2 | 3 / / 2 \ 144*\/ 32 + \/ -1024 + (32 + 243*E) + 243*E / 144*\/ 32 + \/ -1024 + (32 + 243*E) + 243*E
__________________________________________ 3 ___ 3 / ___ ____________ 1/2 2/3 2 \/ 2 *\/ 32 + 243*E + 9*\/ 3 *\/ 64 + 243*E *e 4*2 x3 = - + --------------------------------------------------- + ----------------------------------------------- 9 18 __________________________________________ 3 / ___ ____________ 1/2 9*\/ 32 + 243*E + 9*\/ 3 *\/ 64 + 243*E *e
x3 = 4*2^(2/3)/(9*(32 + 243*E + 9*sqrt(3)*sqrt(64 + 243*E)*exp(1/2))^(1/3)) + 2/9 + 2^(1/3)*(32 + 243*E + 9*sqrt(3)*sqrt(64 + 243*E)*exp(1/2))^(1/3)/18
suma
/ _________________________________________ / _________________________________________ / _________________________________________\\\ / _________________________________________\ _________________________________________ / _________________________________________\ / _________________________________________ / _________________________________________ / _________________________________________\\\ / _________________________________________\ _________________________________________ / _________________________________________\ | / _______________________ | / _______________________ | / _______________________ ||| | / _______________________ | / _______________________ | / _______________________ | | / _______________________ | / _______________________ | / _______________________ ||| | / _______________________ | / _______________________ | / _______________________ | __________________________________________ | ___ 3 ___ ___ 3 / / 2 ___ | 2/3 3 / / 2 | 3 ___ 3 / / 2 ||| ___ | ___ 3 ___ ___ 3 / / 2 | 2/3 3 / / 2 | 3 ___ 3 / / 2 | | ___ 3 ___ ___ 3 / / 2 ___ | 2/3 3 / / 2 | 3 ___ 3 / / 2 ||| ___ | ___ 3 ___ ___ 3 / / 2 | 2/3 3 / / 2 | 3 ___ 3 / / 2 | 3 ___ 3 / ___ ____________ 1/2 2/3 | \/ 3 \/ 2 *\/ 3 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E \/ 3 *\- 32*2 + \/ 32 + \/ -1024 + (32 + 243*E) + 243*E *\8 + 2*\/ 2 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E //| \/ 3 *\- 8*\/ 3 + 2*\/ 2 *\/ 3 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E / - 32*2 + \/ 32 + \/ -1024 + (32 + 243*E) + 243*E *\8 + 2*\/ 2 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E / |\/ 3 \/ 2 *\/ 3 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E \/ 3 *\- 32*2 + \/ 32 + \/ -1024 + (32 + 243*E) + 243*E *\8 + 2*\/ 2 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E //| \/ 3 *\8*\/ 3 - 2*\/ 2 *\/ 3 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E / - 32*2 + \/ 32 + \/ -1024 + (32 + 243*E) + 243*E *\8 + 2*\/ 2 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E / 2 \/ 2 *\/ 32 + 243*E + 9*\/ 3 *\/ 64 + 243*E *e 4*2 I*|- ----- + --------------------------------------------------------- + -----------------------------------------------------------------------------------------------------------------------------| - ------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------- + I*|----- - --------------------------------------------------------- - -----------------------------------------------------------------------------------------------------------------------------| + ----------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------- + - + --------------------------------------------------- + ----------------------------------------------- | 18 72 _________________________________________ | 144 _________________________________________ | 18 72 _________________________________________ | 144 _________________________________________ 9 18 __________________________________________ | / _______________________ | / _______________________ | / _______________________ | / _______________________ 3 / ___ ____________ 1/2 | 3 / / 2 | 3 / / 2 | 3 / / 2 | 3 / / 2 9*\/ 32 + 243*E + 9*\/ 3 *\/ 64 + 243*E *e \ 144*\/ 32 + \/ -1024 + (32 + 243*E) + 243*E / 144*\/ 32 + \/ -1024 + (32 + 243*E) + 243*E \ 144*\/ 32 + \/ -1024 + (32 + 243*E) + 243*E / 144*\/ 32 + \/ -1024 + (32 + 243*E) + 243*E
=
/ _________________________________________ / _________________________________________ / _________________________________________\\\ / _________________________________________ / _________________________________________ / _________________________________________\\\ / _________________________________________\ _________________________________________ / _________________________________________\ / _________________________________________\ | / _______________________ | / _______________________ | / _______________________ ||| | / _______________________ | / _______________________ | / _______________________ ||| | / _______________________ | __________________________________________ / _______________________ | / _______________________ | | / _______________________ | | ___ 3 ___ ___ 3 / / 2 ___ | 2/3 3 / / 2 | 3 ___ 3 / / 2 ||| | ___ 3 ___ ___ 3 / / 2 ___ | 2/3 3 / / 2 | 3 ___ 3 / / 2 ||| ___ | ___ 3 ___ ___ 3 / / 2 | 3 ___ 3 / ___ ____________ 1/2 2/3 3 / / 2 | 3 ___ 3 / / 2 | ___ | ___ 3 ___ ___ 3 / / 2 | 2/3 2 | \/ 3 \/ 2 *\/ 3 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E \/ 3 *\- 32*2 + \/ 32 + \/ -1024 + (32 + 243*E) + 243*E *\8 + 2*\/ 2 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E //| |\/ 3 \/ 2 *\/ 3 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E \/ 3 *\- 32*2 + \/ 32 + \/ -1024 + (32 + 243*E) + 243*E *\8 + 2*\/ 2 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E //| \/ 3 *\- 8*\/ 3 + 2*\/ 2 *\/ 3 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E / \/ 2 *\/ 32 + 243*E + 9*\/ 3 *\/ 64 + 243*E *e - 32*2 + \/ 32 + \/ -1024 + (32 + 243*E) + 243*E *\8 + 2*\/ 2 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E / \/ 3 *\8*\/ 3 - 2*\/ 2 *\/ 3 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E / 4*2 - + I*|- ----- + --------------------------------------------------------- + -----------------------------------------------------------------------------------------------------------------------------| + I*|----- - --------------------------------------------------------- - -----------------------------------------------------------------------------------------------------------------------------| - ------------------------------------------------------------------------------- + --------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------- + ----------------------------------------------- 9 | 18 72 _________________________________________ | | 18 72 _________________________________________ | 144 18 _________________________________________ 144 __________________________________________ | / _______________________ | | / _______________________ | / _______________________ 3 / ___ ____________ 1/2 | 3 / / 2 | | 3 / / 2 | 3 / / 2 9*\/ 32 + 243*E + 9*\/ 3 *\/ 64 + 243*E *e \ 144*\/ 32 + \/ -1024 + (32 + 243*E) + 243*E / \ 144*\/ 32 + \/ -1024 + (32 + 243*E) + 243*E / 72*\/ 32 + \/ -1024 + (32 + 243*E) + 243*E
producto
/ / _________________________________________ / _________________________________________ / _________________________________________\\\ / _________________________________________\ _________________________________________ / _________________________________________\\ / / _________________________________________ / _________________________________________ / _________________________________________\\\ / _________________________________________\ _________________________________________ / _________________________________________\\ | | / _______________________ | / _______________________ | / _______________________ ||| | / _______________________ | / _______________________ | / _______________________ || | | / _______________________ | / _______________________ | / _______________________ ||| | / _______________________ | / _______________________ | / _______________________ || / __________________________________________ \ | | ___ 3 ___ ___ 3 / / 2 ___ | 2/3 3 / / 2 | 3 ___ 3 / / 2 ||| ___ | ___ 3 ___ ___ 3 / / 2 | 2/3 3 / / 2 | 3 ___ 3 / / 2 || | | ___ 3 ___ ___ 3 / / 2 ___ | 2/3 3 / / 2 | 3 ___ 3 / / 2 ||| ___ | ___ 3 ___ ___ 3 / / 2 | 2/3 3 / / 2 | 3 ___ 3 / / 2 || | 3 ___ 3 / ___ ____________ 1/2 2/3 | | | \/ 3 \/ 2 *\/ 3 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E \/ 3 *\- 32*2 + \/ 32 + \/ -1024 + (32 + 243*E) + 243*E *\8 + 2*\/ 2 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E //| \/ 3 *\- 8*\/ 3 + 2*\/ 2 *\/ 3 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E / - 32*2 + \/ 32 + \/ -1024 + (32 + 243*E) + 243*E *\8 + 2*\/ 2 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E /| | |\/ 3 \/ 2 *\/ 3 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E \/ 3 *\- 32*2 + \/ 32 + \/ -1024 + (32 + 243*E) + 243*E *\8 + 2*\/ 2 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E //| \/ 3 *\8*\/ 3 - 2*\/ 2 *\/ 3 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E / - 32*2 + \/ 32 + \/ -1024 + (32 + 243*E) + 243*E *\8 + 2*\/ 2 *\/ 32 + \/ -1024 + (32 + 243*E) + 243*E /| |2 \/ 2 *\/ 32 + 243*E + 9*\/ 3 *\/ 64 + 243*E *e 4*2 | |I*|- ----- + --------------------------------------------------------- + -----------------------------------------------------------------------------------------------------------------------------| - ------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------|*|I*|----- - --------------------------------------------------------- - -----------------------------------------------------------------------------------------------------------------------------| + ----------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------|*|- + --------------------------------------------------- + -----------------------------------------------| | | 18 72 _________________________________________ | 144 _________________________________________ | | | 18 72 _________________________________________ | 144 _________________________________________ | |9 18 __________________________________________| | | / _______________________ | / _______________________ | | | / _______________________ | / _______________________ | | 3 / ___ ____________ 1/2 | | | 3 / / 2 | 3 / / 2 | | | 3 / / 2 | 3 / / 2 | \ 9*\/ 32 + 243*E + 9*\/ 3 *\/ 64 + 243*E *e / \ \ 144*\/ 32 + \/ -1024 + (32 + 243*E) + 243*E / 144*\/ 32 + \/ -1024 + (32 + 243*E) + 243*E / \ \ 144*\/ 32 + \/ -1024 + (32 + 243*E) + 243*E / 144*\/ 32 + \/ -1024 + (32 + 243*E) + 243*E /
=
2 ___ ____________ 3/2 32*E + 243*e + 9*\/ 3 *\/ 64 + 243*E *e -------------------------------------------- / ___ ____________ 1/2\ 6*\32 + 243*E + 9*\/ 3 *\/ 64 + 243*E *e /
(32*E + 243*exp(2) + 9*sqrt(3)*sqrt(64 + 243*E)*exp(3/2))/(6*(32 + 243*E + 9*sqrt(3)*sqrt(64 + 243*E)*exp(1/2)))
x1 = -0.199480976137646 + 0.620767762027539*i
x2 = -0.199480976137646 - 0.620767762027539*i
x3 = 1.06562861894196
x3 = 1.06562861894196