Sr Examen
(1/5)^(9x^2+7)=(1/25)^(x^2+11) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
2 2 -7 - 9*x -11 - x 5 = 25
$$\left(\frac{1}{5}\right)^{9 x^{2} + 7} = \left(\frac{1}{25}\right)^{x^{2} + 11}$$
Respuesta rápida
[src]
_____
-\/ 105
x1 = ---------
7
$$x_{1} = - \frac{\sqrt{105}}{7}$$
_____
\/ 105
x2 = -------
7
$$x_{2} = \frac{\sqrt{105}}{7}$$
______________________ / / 2*pi \\ ______________________ / / 2*pi \\
/ 2 2 |atan|--------|| / 2 2 |atan|--------||
/ 36*pi 225*log (5) | \5*log(5)/| / 36*pi 225*log (5) | \5*log(5)/|
4 / ------ + ----------- *cos|--------------| I*4 / ------ + ----------- *sin|--------------|
\/ 49 49 \ 2 / \/ 49 49 \ 2 /
x3 = - ----------------------------------------------- - -------------------------------------------------
________ ________
\/ log(5) \/ log(5)
$$x_{3} = - \frac{\sqrt[4]{\frac{36 \pi^{2}}{49} + \frac{225 \log{\left(5 \right)}^{2}}{49}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{2 \pi}{5 \log{\left(5 \right)}} \right)}}{2} \right)}}{\sqrt{\log{\left(5 \right)}}} - \frac{i \sqrt[4]{\frac{36 \pi^{2}}{49} + \frac{225 \log{\left(5 \right)}^{2}}{49}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{2 \pi}{5 \log{\left(5 \right)}} \right)}}{2} \right)}}{\sqrt{\log{\left(5 \right)}}}$$
______________________ / / 2*pi \\ ______________________ / / 2*pi \\
/ 2 2 |atan|--------|| / 2 2 |atan|--------||
/ 36*pi 225*log (5) | \5*log(5)/| / 36*pi 225*log (5) | \5*log(5)/|
4 / ------ + ----------- *cos|--------------| I*4 / ------ + ----------- *sin|--------------|
\/ 49 49 \ 2 / \/ 49 49 \ 2 /
x4 = ----------------------------------------------- + -------------------------------------------------
________ ________
\/ log(5) \/ log(5)
$$x_{4} = \frac{\sqrt[4]{\frac{36 \pi^{2}}{49} + \frac{225 \log{\left(5 \right)}^{2}}{49}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{2 \pi}{5 \log{\left(5 \right)}} \right)}}{2} \right)}}{\sqrt{\log{\left(5 \right)}}} + \frac{i \sqrt[4]{\frac{36 \pi^{2}}{49} + \frac{225 \log{\left(5 \right)}^{2}}{49}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{2 \pi}{5 \log{\left(5 \right)}} \right)}}{2} \right)}}{\sqrt{\log{\left(5 \right)}}}$$
/ / / / /pi\\\\\ / / / / /pi\\\\\
| | | |sin|--||||| | | | |sin|--|||||
| | | | \7 /|||| | | | | \7 /||||
| |7*|-pi + atan|-------|||| | |7*|-pi + atan|-------||||
______________________________________ | | | | /pi\|||| ______________________________________ | | | | /pi\||||
/ 2 | | | |cos|--||||| / 2 | | | |cos|--|||||
/ / / /pi\\\ | | \ \ \7 ///|| / / / /pi\\\ | | \ \ \7 ///||
/ | |sin|--||| 2 |atan|-----------------------|| / | |sin|--||| 2 |atan|-----------------------||
/ | | \7 /|| 225*log (5) | \ 15*log(5) /| / | | \7 /|| 225*log (5) | \ 15*log(5) /|
/ |-pi + atan|-------|| + ----------- *cos|-----------------------------| I* / |-pi + atan|-------|| + ----------- *sin|-----------------------------|
/ | | /pi\|| 49 \ 2 / / | | /pi\|| 49 \ 2 /
4 / | |cos|--||| 4 / | |cos|--|||
\/ \ \ \7 /// \/ \ \ \7 ///
x5 = - ---------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------
________ ________
\/ log(5) \/ log(5)
$$x_{5} = - \frac{\sqrt[4]{\left(- \pi + \operatorname{atan}{\left(\frac{\sin{\left(\frac{\pi}{7} \right)}}{\cos{\left(\frac{\pi}{7} \right)}} \right)}\right)^{2} + \frac{225 \log{\left(5 \right)}^{2}}{49}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \left(- \pi + \operatorname{atan}{\left(\frac{\sin{\left(\frac{\pi}{7} \right)}}{\cos{\left(\frac{\pi}{7} \right)}} \right)}\right)}{15 \log{\left(5 \right)}} \right)}}{2} \right)}}{\sqrt{\log{\left(5 \right)}}} - \frac{i \sqrt[4]{\left(- \pi + \operatorname{atan}{\left(\frac{\sin{\left(\frac{\pi}{7} \right)}}{\cos{\left(\frac{\pi}{7} \right)}} \right)}\right)^{2} + \frac{225 \log{\left(5 \right)}^{2}}{49}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \left(- \pi + \operatorname{atan}{\left(\frac{\sin{\left(\frac{\pi}{7} \right)}}{\cos{\left(\frac{\pi}{7} \right)}} \right)}\right)}{15 \log{\left(5 \right)}} \right)}}{2} \right)}}{\sqrt{\log{\left(5 \right)}}}$$
/ / / / /pi\\\\\ / / / / /pi\\\\\
| | | |sin|--||||| | | | |sin|--|||||
| | | | \7 /|||| | | | | \7 /||||
| |7*|-pi + atan|-------|||| | |7*|-pi + atan|-------||||
______________________________________ | | | | /pi\|||| ______________________________________ | | | | /pi\||||
/ 2 | | | |cos|--||||| / 2 | | | |cos|--|||||
/ / / /pi\\\ | | \ \ \7 ///|| / / / /pi\\\ | | \ \ \7 ///||
/ | |sin|--||| 2 |atan|-----------------------|| / | |sin|--||| 2 |atan|-----------------------||
/ | | \7 /|| 225*log (5) | \ 15*log(5) /| / | | \7 /|| 225*log (5) | \ 15*log(5) /|
/ |-pi + atan|-------|| + ----------- *cos|-----------------------------| I* / |-pi + atan|-------|| + ----------- *sin|-----------------------------|
/ | | /pi\|| 49 \ 2 / / | | /pi\|| 49 \ 2 /
4 / | |cos|--||| 4 / | |cos|--|||
\/ \ \ \7 /// \/ \ \ \7 ///
x6 = ---------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------
________ ________
\/ log(5) \/ log(5)
$$x_{6} = \frac{\sqrt[4]{\left(- \pi + \operatorname{atan}{\left(\frac{\sin{\left(\frac{\pi}{7} \right)}}{\cos{\left(\frac{\pi}{7} \right)}} \right)}\right)^{2} + \frac{225 \log{\left(5 \right)}^{2}}{49}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \left(- \pi + \operatorname{atan}{\left(\frac{\sin{\left(\frac{\pi}{7} \right)}}{\cos{\left(\frac{\pi}{7} \right)}} \right)}\right)}{15 \log{\left(5 \right)}} \right)}}{2} \right)}}{\sqrt{\log{\left(5 \right)}}} + \frac{i \sqrt[4]{\left(- \pi + \operatorname{atan}{\left(\frac{\sin{\left(\frac{\pi}{7} \right)}}{\cos{\left(\frac{\pi}{7} \right)}} \right)}\right)^{2} + \frac{225 \log{\left(5 \right)}^{2}}{49}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \left(- \pi + \operatorname{atan}{\left(\frac{\sin{\left(\frac{\pi}{7} \right)}}{\cos{\left(\frac{\pi}{7} \right)}} \right)}\right)}{15 \log{\left(5 \right)}} \right)}}{2} \right)}}{\sqrt{\log{\left(5 \right)}}}$$
/ / / /pi\\ \\ / / / /pi\\ \\
| | |cos|--|| || | | |cos|--|| ||
| | | \14/| || | | | \14/| ||
| | pi - atan|-------| || | | pi - atan|-------| ||
| | | /pi\| || | | | /pi\| ||
| | |sin|--|| || | | |sin|--|| ||
| | \ \14// || | | \ \14// ||
_______________________________________________________________________ |atan|------------------------------------------|| _______________________________________________________________________ |atan|------------------------------------------||
/ 2 | | / _____________________\|| / 2 | | / _____________________\||
/ / / /pi\\\ 2 | |15*log(5) | / 2/pi\ 2/pi\ ||| / / / /pi\\\ 2 | |15*log(5) | / 2/pi\ 2/pi\ |||
/ | |cos|--||| / / _____________________\\ | |--------- + log| / cos |--| + sin |--| ||| / | |cos|--||| / / _____________________\\ | |--------- + log| / cos |--| + sin |--| |||
/ | | \14/|| |15*log(5) | / 2/pi\ 2/pi\ || | \ 7 \\/ \14/ \14/ //| / | | \14/|| |15*log(5) | / 2/pi\ 2/pi\ || | \ 7 \\/ \14/ \14/ //|
/ |pi - atan|-------|| + |--------- + log| / cos |--| + sin |--| || *cos|------------------------------------------------| I* / |pi - atan|-------|| + |--------- + log| / cos |--| + sin |--| || *sin|------------------------------------------------|
/ | | /pi\|| \ 7 \\/ \14/ \14/ // \ 2 / / | | /pi\|| \ 7 \\/ \14/ \14/ // \ 2 /
4 / | |sin|--||| 4 / | |sin|--|||
\/ \ \ \14/// \/ \ \ \14///
x7 = - -------------------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------
________ ________
\/ log(5) \/ log(5)
$$x_{7} = - \frac{\sqrt[4]{\left(\pi - \operatorname{atan}{\left(\frac{\cos{\left(\frac{\pi}{14} \right)}}{\sin{\left(\frac{\pi}{14} \right)}} \right)}\right)^{2} + \left(\log{\left(\sqrt{\sin^{2}{\left(\frac{\pi}{14} \right)} + \cos^{2}{\left(\frac{\pi}{14} \right)}} \right)} + \frac{15 \log{\left(5 \right)}}{7}\right)^{2}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\pi - \operatorname{atan}{\left(\frac{\cos{\left(\frac{\pi}{14} \right)}}{\sin{\left(\frac{\pi}{14} \right)}} \right)}}{\log{\left(\sqrt{\sin^{2}{\left(\frac{\pi}{14} \right)} + \cos^{2}{\left(\frac{\pi}{14} \right)}} \right)} + \frac{15 \log{\left(5 \right)}}{7}} \right)}}{2} \right)}}{\sqrt{\log{\left(5 \right)}}} - \frac{i \sqrt[4]{\left(\pi - \operatorname{atan}{\left(\frac{\cos{\left(\frac{\pi}{14} \right)}}{\sin{\left(\frac{\pi}{14} \right)}} \right)}\right)^{2} + \left(\log{\left(\sqrt{\sin^{2}{\left(\frac{\pi}{14} \right)} + \cos^{2}{\left(\frac{\pi}{14} \right)}} \right)} + \frac{15 \log{\left(5 \right)}}{7}\right)^{2}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\pi - \operatorname{atan}{\left(\frac{\cos{\left(\frac{\pi}{14} \right)}}{\sin{\left(\frac{\pi}{14} \right)}} \right)}}{\log{\left(\sqrt{\sin^{2}{\left(\frac{\pi}{14} \right)} + \cos^{2}{\left(\frac{\pi}{14} \right)}} \right)} + \frac{15 \log{\left(5 \right)}}{7}} \right)}}{2} \right)}}{\sqrt{\log{\left(5 \right)}}}$$
/ / / /pi\\ \\ / / / /pi\\ \\
| | |cos|--|| || | | |cos|--|| ||
| | | \14/| || | | | \14/| ||
| | pi - atan|-------| || | | pi - atan|-------| ||
| | | /pi\| || | | | /pi\| ||
| | |sin|--|| || | | |sin|--|| ||
| | \ \14// || | | \ \14// ||
_______________________________________________________________________ |atan|------------------------------------------|| _______________________________________________________________________ |atan|------------------------------------------||
/ 2 | | / _____________________\|| / 2 | | / _____________________\||
/ / / /pi\\\ 2 | |15*log(5) | / 2/pi\ 2/pi\ ||| / / / /pi\\\ 2 | |15*log(5) | / 2/pi\ 2/pi\ |||
/ | |cos|--||| / / _____________________\\ | |--------- + log| / cos |--| + sin |--| ||| / | |cos|--||| / / _____________________\\ | |--------- + log| / cos |--| + sin |--| |||
/ | | \14/|| |15*log(5) | / 2/pi\ 2/pi\ || | \ 7 \\/ \14/ \14/ //| / | | \14/|| |15*log(5) | / 2/pi\ 2/pi\ || | \ 7 \\/ \14/ \14/ //|
/ |pi - atan|-------|| + |--------- + log| / cos |--| + sin |--| || *cos|------------------------------------------------| I* / |pi - atan|-------|| + |--------- + log| / cos |--| + sin |--| || *sin|------------------------------------------------|
/ | | /pi\|| \ 7 \\/ \14/ \14/ // \ 2 / / | | /pi\|| \ 7 \\/ \14/ \14/ // \ 2 /
4 / | |sin|--||| 4 / | |sin|--|||
\/ \ \ \14/// \/ \ \ \14///
x8 = -------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------
________ ________
\/ log(5) \/ log(5)
$$x_{8} = \frac{\sqrt[4]{\left(\pi - \operatorname{atan}{\left(\frac{\cos{\left(\frac{\pi}{14} \right)}}{\sin{\left(\frac{\pi}{14} \right)}} \right)}\right)^{2} + \left(\log{\left(\sqrt{\sin^{2}{\left(\frac{\pi}{14} \right)} + \cos^{2}{\left(\frac{\pi}{14} \right)}} \right)} + \frac{15 \log{\left(5 \right)}}{7}\right)^{2}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\pi - \operatorname{atan}{\left(\frac{\cos{\left(\frac{\pi}{14} \right)}}{\sin{\left(\frac{\pi}{14} \right)}} \right)}}{\log{\left(\sqrt{\sin^{2}{\left(\frac{\pi}{14} \right)} + \cos^{2}{\left(\frac{\pi}{14} \right)}} \right)} + \frac{15 \log{\left(5 \right)}}{7}} \right)}}{2} \right)}}{\sqrt{\log{\left(5 \right)}}} + \frac{i \sqrt[4]{\left(\pi - \operatorname{atan}{\left(\frac{\cos{\left(\frac{\pi}{14} \right)}}{\sin{\left(\frac{\pi}{14} \right)}} \right)}\right)^{2} + \left(\log{\left(\sqrt{\sin^{2}{\left(\frac{\pi}{14} \right)} + \cos^{2}{\left(\frac{\pi}{14} \right)}} \right)} + \frac{15 \log{\left(5 \right)}}{7}\right)^{2}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\pi - \operatorname{atan}{\left(\frac{\cos{\left(\frac{\pi}{14} \right)}}{\sin{\left(\frac{\pi}{14} \right)}} \right)}}{\log{\left(\sqrt{\sin^{2}{\left(\frac{\pi}{14} \right)} + \cos^{2}{\left(\frac{\pi}{14} \right)}} \right)} + \frac{15 \log{\left(5 \right)}}{7}} \right)}}{2} \right)}}{\sqrt{\log{\left(5 \right)}}}$$
/ / 2*pi \\ / / 2*pi \\
________________________________ |atan|----------------|| ________________________________ |atan|----------------||
4 / 2 2 | \log(30517578125)/| 4 / 2 2 | \log(30517578125)/|
\/ 49*log (30517578125) + 196*pi *cos|----------------------| I*\/ 49*log (30517578125) + 196*pi *sin|----------------------|
\ 2 / \ 2 /
x9 = - --------------------------------------------------------------- + -----------------------------------------------------------------
________ ________
7*\/ log(5) 7*\/ log(5)
$$x_{9} = - \frac{\sqrt[4]{196 \pi^{2} + 49 \log{\left(30517578125 \right)}^{2}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{2 \pi}{\log{\left(30517578125 \right)}} \right)}}{2} \right)}}{7 \sqrt{\log{\left(5 \right)}}} + \frac{i \sqrt[4]{196 \pi^{2} + 49 \log{\left(30517578125 \right)}^{2}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{2 \pi}{\log{\left(30517578125 \right)}} \right)}}{2} \right)}}{7 \sqrt{\log{\left(5 \right)}}}$$
/ / 2*pi \\ / / 2*pi \\
________________________________ |atan|----------------|| ________________________________ |atan|----------------||
4 / 2 2 | \log(30517578125)/| 4 / 2 2 | \log(30517578125)/|
\/ 49*log (30517578125) + 196*pi *cos|----------------------| I*\/ 49*log (30517578125) + 196*pi *sin|----------------------|
\ 2 / \ 2 /
x10 = --------------------------------------------------------------- - -----------------------------------------------------------------
________ ________
7*\/ log(5) 7*\/ log(5)
$$x_{10} = \frac{\sqrt[4]{196 \pi^{2} + 49 \log{\left(30517578125 \right)}^{2}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{2 \pi}{\log{\left(30517578125 \right)}} \right)}}{2} \right)}}{7 \sqrt{\log{\left(5 \right)}}} - \frac{i \sqrt[4]{196 \pi^{2} + 49 \log{\left(30517578125 \right)}^{2}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{2 \pi}{\log{\left(30517578125 \right)}} \right)}}{2} \right)}}{7 \sqrt{\log{\left(5 \right)}}}$$
/ / 2*pi \\ / / 2*pi \\
________________________________ |atan|----------------|| ________________________________ |atan|----------------||
4 / 2 2 | \log(30517578125)/| 4 / 2 2 | \log(30517578125)/|
\/ 49*log (30517578125) + 196*pi *cos|----------------------| I*\/ 49*log (30517578125) + 196*pi *sin|----------------------|
\ 2 / \ 2 /
x11 = - --------------------------------------------------------------- - -----------------------------------------------------------------
________ ________
7*\/ log(5) 7*\/ log(5)
$$x_{11} = - \frac{\sqrt[4]{196 \pi^{2} + 49 \log{\left(30517578125 \right)}^{2}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{2 \pi}{\log{\left(30517578125 \right)}} \right)}}{2} \right)}}{7 \sqrt{\log{\left(5 \right)}}} - \frac{i \sqrt[4]{196 \pi^{2} + 49 \log{\left(30517578125 \right)}^{2}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{2 \pi}{\log{\left(30517578125 \right)}} \right)}}{2} \right)}}{7 \sqrt{\log{\left(5 \right)}}}$$
/ / 2*pi \\ / / 2*pi \\
________________________________ |atan|----------------|| ________________________________ |atan|----------------||
4 / 2 2 | \log(30517578125)/| 4 / 2 2 | \log(30517578125)/|
\/ 49*log (30517578125) + 196*pi *cos|----------------------| I*\/ 49*log (30517578125) + 196*pi *sin|----------------------|
\ 2 / \ 2 /
x12 = --------------------------------------------------------------- + -----------------------------------------------------------------
________ ________
7*\/ log(5) 7*\/ log(5)
$$x_{12} = \frac{\sqrt[4]{196 \pi^{2} + 49 \log{\left(30517578125 \right)}^{2}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{2 \pi}{\log{\left(30517578125 \right)}} \right)}}{2} \right)}}{7 \sqrt{\log{\left(5 \right)}}} + \frac{i \sqrt[4]{196 \pi^{2} + 49 \log{\left(30517578125 \right)}^{2}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{2 \pi}{\log{\left(30517578125 \right)}} \right)}}{2} \right)}}{7 \sqrt{\log{\left(5 \right)}}}$$
/ / / /pi\\ \\ / / / /pi\\ \\
| | |cos|--|| || | | |cos|--|| ||
| | | \14/| || | | | \14/| ||
| | -pi + atan|-------| || | | -pi + atan|-------| ||
| | | /pi\| || | | | /pi\| ||
| | |sin|--|| || | | |sin|--|| ||
| | \ \14// || | | \ \14// ||
|atan|------------------------------|| |atan|------------------------------||
| | / 7 ___ \|| | | / 7 ___ \||
| | | 25*\/ 5 ||| | | | 25*\/ 5 |||
__________________________________________________________ | |log|-------------------------||| __________________________________________________________ | |log|-------------------------|||
/ 2 | | | _____________________||| / 2 | | | _____________________|||
/ / / /pi\\\ | | | / 2/pi\ 2/pi\ ||| / / / /pi\\\ | | | / 2/pi\ 2/pi\ |||
/ | |cos|--||| / 7 ___ \ | | | / cos |--| + sin |--| ||| / | |cos|--||| / 7 ___ \ | | | / cos |--| + sin |--| |||
/ | | \14/|| 2| 25*\/ 5 | | \ \\/ \14/ \14/ //| / | | \14/|| 2| 25*\/ 5 | | \ \\/ \14/ \14/ //|
/ |-pi + atan|-------|| + log |-------------------------| *cos|------------------------------------| I* / |-pi + atan|-------|| + log |-------------------------| *sin|------------------------------------|
/ | | /pi\|| | _____________________| \ 2 / / | | /pi\|| | _____________________| \ 2 /
/ | |sin|--||| | / 2/pi\ 2/pi\ | / | |sin|--||| | / 2/pi\ 2/pi\ |
4 / \ \ \14/// | / cos |--| + sin |--| | 4 / \ \ \14/// | / cos |--| + sin |--| |
\/ \\/ \14/ \14/ / \/ \\/ \14/ \14/ /
x13 = -------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------
________ ________
\/ log(5) \/ log(5)
$$x_{13} = \frac{\sqrt[4]{\left(- \pi + \operatorname{atan}{\left(\frac{\cos{\left(\frac{\pi}{14} \right)}}{\sin{\left(\frac{\pi}{14} \right)}} \right)}\right)^{2} + \log{\left(\frac{25 \sqrt[7]{5}}{\sqrt{\sin^{2}{\left(\frac{\pi}{14} \right)} + \cos^{2}{\left(\frac{\pi}{14} \right)}}} \right)}^{2}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{- \pi + \operatorname{atan}{\left(\frac{\cos{\left(\frac{\pi}{14} \right)}}{\sin{\left(\frac{\pi}{14} \right)}} \right)}}{\log{\left(\frac{25 \sqrt[7]{5}}{\sqrt{\sin^{2}{\left(\frac{\pi}{14} \right)} + \cos^{2}{\left(\frac{\pi}{14} \right)}}} \right)}} \right)}}{2} \right)}}{\sqrt{\log{\left(5 \right)}}} + \frac{i \sqrt[4]{\left(- \pi + \operatorname{atan}{\left(\frac{\cos{\left(\frac{\pi}{14} \right)}}{\sin{\left(\frac{\pi}{14} \right)}} \right)}\right)^{2} + \log{\left(\frac{25 \sqrt[7]{5}}{\sqrt{\sin^{2}{\left(\frac{\pi}{14} \right)} + \cos^{2}{\left(\frac{\pi}{14} \right)}}} \right)}^{2}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{- \pi + \operatorname{atan}{\left(\frac{\cos{\left(\frac{\pi}{14} \right)}}{\sin{\left(\frac{\pi}{14} \right)}} \right)}}{\log{\left(\frac{25 \sqrt[7]{5}}{\sqrt{\sin^{2}{\left(\frac{\pi}{14} \right)} + \cos^{2}{\left(\frac{\pi}{14} \right)}}} \right)}} \right)}}{2} \right)}}{\sqrt{\log{\left(5 \right)}}}$$
/ / / /pi\\ \\ / / / /pi\\ \\
| | |cos|--|| || | | |cos|--|| ||
| | | \14/| || | | | \14/| ||
| | -pi + atan|-------| || | | -pi + atan|-------| ||
| | | /pi\| || | | | /pi\| ||
| | |sin|--|| || | | |sin|--|| ||
| | \ \14// || | | \ \14// ||
|atan|------------------------------|| |atan|------------------------------||
| | / 7 ___ \|| | | / 7 ___ \||
| | | 25*\/ 5 ||| | | | 25*\/ 5 |||
__________________________________________________________ | |log|-------------------------||| __________________________________________________________ | |log|-------------------------|||
/ 2 | | | _____________________||| / 2 | | | _____________________|||
/ / / /pi\\\ | | | / 2/pi\ 2/pi\ ||| / / / /pi\\\ | | | / 2/pi\ 2/pi\ |||
/ | |cos|--||| / 7 ___ \ | | | / cos |--| + sin |--| ||| / | |cos|--||| / 7 ___ \ | | | / cos |--| + sin |--| |||
/ | | \14/|| 2| 25*\/ 5 | | \ \\/ \14/ \14/ //| / | | \14/|| 2| 25*\/ 5 | | \ \\/ \14/ \14/ //|
/ |-pi + atan|-------|| + log |-------------------------| *cos|------------------------------------| I* / |-pi + atan|-------|| + log |-------------------------| *sin|------------------------------------|
/ | | /pi\|| | _____________________| \ 2 / / | | /pi\|| | _____________________| \ 2 /
/ | |sin|--||| | / 2/pi\ 2/pi\ | / | |sin|--||| | / 2/pi\ 2/pi\ |
4 / \ \ \14/// | / cos |--| + sin |--| | 4 / \ \ \14/// | / cos |--| + sin |--| |
\/ \\/ \14/ \14/ / \/ \\/ \14/ \14/ /
x14 = - -------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------
________ ________
\/ log(5) \/ log(5)
$$x_{14} = - \frac{\sqrt[4]{\left(- \pi + \operatorname{atan}{\left(\frac{\cos{\left(\frac{\pi}{14} \right)}}{\sin{\left(\frac{\pi}{14} \right)}} \right)}\right)^{2} + \log{\left(\frac{25 \sqrt[7]{5}}{\sqrt{\sin^{2}{\left(\frac{\pi}{14} \right)} + \cos^{2}{\left(\frac{\pi}{14} \right)}}} \right)}^{2}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{- \pi + \operatorname{atan}{\left(\frac{\cos{\left(\frac{\pi}{14} \right)}}{\sin{\left(\frac{\pi}{14} \right)}} \right)}}{\log{\left(\frac{25 \sqrt[7]{5}}{\sqrt{\sin^{2}{\left(\frac{\pi}{14} \right)} + \cos^{2}{\left(\frac{\pi}{14} \right)}}} \right)}} \right)}}{2} \right)}}{\sqrt{\log{\left(5 \right)}}} - \frac{i \sqrt[4]{\left(- \pi + \operatorname{atan}{\left(\frac{\cos{\left(\frac{\pi}{14} \right)}}{\sin{\left(\frac{\pi}{14} \right)}} \right)}\right)^{2} + \log{\left(\frac{25 \sqrt[7]{5}}{\sqrt{\sin^{2}{\left(\frac{\pi}{14} \right)} + \cos^{2}{\left(\frac{\pi}{14} \right)}}} \right)}^{2}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{- \pi + \operatorname{atan}{\left(\frac{\cos{\left(\frac{\pi}{14} \right)}}{\sin{\left(\frac{\pi}{14} \right)}} \right)}}{\log{\left(\frac{25 \sqrt[7]{5}}{\sqrt{\sin^{2}{\left(\frac{\pi}{14} \right)} + \cos^{2}{\left(\frac{\pi}{14} \right)}}} \right)}} \right)}}{2} \right)}}{\sqrt{\log{\left(5 \right)}}}$$
x14 = -((-pi + atan(cos(pi/14)/sin(pi/14)))^2 + log(25*5^(1/7)/sqrt(sin(pi/14)^2 + cos(pi/14)^2))^2)^(1/4)*cos(atan((-pi + atan(cos(pi/14)/sin(pi/14)))/log(25*5^(1/7)/sqrt(sin(pi/14)^2 + cos(pi/14)^2)))/2)/sqrt(log(5)) - i*((-pi + atan(cos(pi/14)/sin(pi/14)))^2 + log(25*5^(1/7)/sqrt(sin(pi/14)^2 + cos(pi/14)^2))^2)^(1/4)*sin(atan((-pi + atan(cos(pi/14)/sin(pi/14)))/log(25*5^(1/7)/sqrt(sin(pi/14)^2 + cos(pi/14)^2)))/2)/sqrt(log(5))
Respuesta numérica
[src]
x1 = 70.25
x2 = 96.25
x3 = -24.1267686922185
x4 = -100.0
x5 = -56.0
x6 = -28.1087308693555
x7 = 12.5052465910742
x8 = -36.0
x9 = -22.1382276204188
x10 = 52.25
x11 = 40.25
x12 = 56.25
x13 = 98.25
x14 = -16.1895638968215
x15 = 26.3700340564129
x16 = -60.0
x17 = -90.0
x18 = -88.0
x19 = 32.2548117211352
x20 = -98.0
x21 = -44.0
x22 = -74.0
x23 = 42.25
x24 = 8.62466804313652
x25 = 60.25
x26 = 1.26186493041779
x27 = -8.37300758792437
x28 = 66.25
x29 = 28.3615690654924
x30 = -78.0
x31 = -62.0
x32 = -46.0
x33 = 50.25
x34 = 72.25
x35 = -34.00441288423
x36 = -42.0
x37 = 20.4053712259971
x38 = 64.25
x39 = 48.25
x40 = -50.0
x41 = 78.25
x42 = 4.93995532821155
x43 = -40.0
x44 = -86.0
x45 = -12.2516682461524
x46 = -84.0
x47 = -70.0
x48 = 18.4222541227097
x49 = -68.0
x50 = 24.3798855052919
x51 = 30.3542175722234
x52 = -4.70443884195379
x53 = 54.25
x54 = 90.25
x55 = -76.0
x56 = -82.0
x57 = -96.0
x58 = 88.25
x59 = -38.0
x60 = -58.0
x61 = -18.1686983150455
x62 = -52.0
x63 = 94.25
x64 = -48.0
x65 = 58.25
x66 = -3.20204793245188
x67 = -66.0
x68 = 16.4432303422826
x69 = -94.0
x70 = 38.25
x71 = 3.38610875398387
x72 = -72.0
x73 = 10.5537921003066
x74 = 80.25
x75 = 6.73719295420561
x76 = 62.25
x77 = 84.25
x78 = 86.25
x79 = 36.25
x80 = -14.2162769846424
x81 = 14.4699816122693
x82 = 34.2545305566638
x83 = -80.0
x84 = -54.0
x85 = 68.25
x86 = 44.25
x87 = -64.0
x88 = -20.1519558617722
x89 = -32.0048541787921
x90 = 82.25
x91 = -26.117060458101
x92 = 74.25
x93 = 100.25
x94 = -30.101506275382
x95 = -6.48943237093025
x96 = -92.0
x97 = 46.25
x98 = 76.25
x99 = 92.25
x100 = 22.3914933001189
x101 = -10.3007162729511
x101 = -10.3007162729511