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- La ecuación:
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Ecuación x^6=-3
- Ecuación x^4+y^6=-4
- Ecuación 2*x^4-19*x^2+9=0
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Ecuación 12*x=0
- Expresar {x} en función de y en la ecuación:
- 9*x+7*y=4
- -11*x+17*y=-17
- -8*x+20*y=4
- -8*x+6*y=-5
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Expresiones idénticas
- ((cuatrocientos uno / cien)*(x^ dos)+(tres mil setecientos cincuenta y nueve / cincuenta)*x+(treinta y cinco mil ciento ochenta y nueve / cien))*((ciento cuarenta y nueve / veinticinco)+(sesenta y siete / cien)*x)+(ochocientos ochenta y tres / veinticinco)*(ciento cincuenta y uno / doscientos)-((dos mil ciento setenta y tres / cinco)*x+(ochocientos veintitrés / cinco)*(x^ dos)+(mil cincuenta y uno / cien)*x^ tres)= cero
- ((401 dividir por 100) multiplicar por (x al cuadrado ) más (3759 dividir por 50) multiplicar por x más (35189 dividir por 100)) multiplicar por ((149 dividir por 25) más (67 dividir por 100) multiplicar por x) más (883 dividir por 25) multiplicar por (151 dividir por 200) menos ((2173 dividir por 5) multiplicar por x más (823 dividir por 5) multiplicar por (x al cuadrado ) más (1051 dividir por 100) multiplicar por x al cubo ) es igual a 0
- ((cuatrocientos uno dividir por cien) multiplicar por (x en el grado dos) más (tres mil setecientos cincuenta y nueve dividir por cincuenta) multiplicar por x más (treinta y cinco mil ciento ochenta y nueve dividir por cien)) multiplicar por ((ciento cuarenta y nueve dividir por veinticinco) más (sesenta y siete dividir por cien) multiplicar por x) más (ochocientos ochenta y tres dividir por veinticinco) multiplicar por (ciento cincuenta y uno dividir por doscientos) menos ((dos mil ciento setenta y tres dividir por cinco) multiplicar por x más (ochocientos veintitrés dividir por cinco) multiplicar por (x en el grado dos) más (mil cincuenta y uno dividir por cien) multiplicar por x en el grado tres) es igual a cero
- ((401/100)*(x2)+(3759/50)*x+(35189/100))*((149/25)+(67/100)*x)+(883/25)*(151/200)-((2173/5)*x+(823/5)*(x2)+(1051/100)*x3)=0
- 401/100*x2+3759/50*x+35189/100*149/25+67/100*x+883/25*151/200-2173/5*x+823/5*x2+1051/100*x3=0
- ((401/100)*(x²)+(3759/50)*x+(35189/100))*((149/25)+(67/100)*x)+(883/25)*(151/200)-((2173/5)*x+(823/5)*(x²)+(1051/100)*x³)=0
- ((401/100)*(x en el grado 2)+(3759/50)*x+(35189/100))*((149/25)+(67/100)*x)+(883/25)*(151/200)-((2173/5)*x+(823/5)*(x en el grado 2)+(1051/100)*x en el grado 3)=0
- ((401/100)(x^2)+(3759/50)x+(35189/100))((149/25)+(67/100)x)+(883/25)(151/200)-((2173/5)x+(823/5)(x^2)+(1051/100)x^3)=0
- ((401/100)(x2)+(3759/50)x+(35189/100))((149/25)+(67/100)x)+(883/25)(151/200)-((2173/5)x+(823/5)(x2)+(1051/100)x3)=0
- 401/100x2+3759/50x+35189/100149/25+67/100x+883/25151/200-2173/5x+823/5x2+1051/100x3=0
- 401/100x^2+3759/50x+35189/100149/25+67/100x+883/25151/200-2173/5x+823/5x^2+1051/100x^3=0
- ((401/100)*(x^2)+(3759/50)*x+(35189/100))*((149/25)+(67/100)*x)+(883/25)*(151/200)-((2173/5)*x+(823/5)*(x^2)+(1051/100)*x^3)=O
- ((401 dividir por 100)*(x^2)+(3759 dividir por 50)*x+(35189 dividir por 100))*((149 dividir por 25)+(67 dividir por 100)*x)+(883 dividir por 25)*(151 dividir por 200)-((2173 dividir por 5)*x+(823 dividir por 5)*(x^2)+(1051 dividir por 100)*x^3)=0
-
Expresiones semejantes
- ((401/100)*(x^2)+(3759/50)*x-(35189/100))*((149/25)+(67/100)*x)+(883/25)*(151/200)-((2173/5)*x+(823/5)*(x^2)+(1051/100)*x^3)=0
- ((401/100)*(x^2)-(3759/50)*x+(35189/100))*((149/25)+(67/100)*x)+(883/25)*(151/200)-((2173/5)*x+(823/5)*(x^2)+(1051/100)*x^3)=0
- ((401/100)*(x^2)+(3759/50)*x+(35189/100))*((149/25)+(67/100)*x)+(883/25)*(151/200)-((2173/5)*x-(823/5)*(x^2)+(1051/100)*x^3)=0
- ((401/100)*(x^2)+(3759/50)*x+(35189/100))*((149/25)+(67/100)*x)-(883/25)*(151/200)-((2173/5)*x+(823/5)*(x^2)+(1051/100)*x^3)=0
- ((401/100)*(x^2)+(3759/50)*x+(35189/100))*((149/25)+(67/100)*x)+(883/25)*(151/200)+((2173/5)*x+(823/5)*(x^2)+(1051/100)*x^3)=0
- ((401/100)*(x^2)+(3759/50)*x+(35189/100))*((149/25)-(67/100)*x)+(883/25)*(151/200)-((2173/5)*x+(823/5)*(x^2)+(1051/100)*x^3)=0
- ((401/100)*(x^2)+(3759/50)*x+(35189/100))*((149/25)+(67/100)*x)+(883/25)*(151/200)-((2173/5)*x+(823/5)*(x^2)-(1051/100)*x^3)=0
((401/100)*(x^2)+(3759/50)*x+(35189/100))*((149/25)+(67/100)*x)+(883/25)*(151/200)-((2173/5)*x+(823/5)*(x^2)+(1051/100)*x^3)=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
/ 2 \ 2 3 |401*x 3759*x 35189| /149 67*x\ 883*151 2173*x 823*x 1051*x |------ + ------ + -----|*|--- + ----| + ------- + - ------ - ------ - ------- = 0 \ 100 50 100 / \ 25 100 / 25*200 5 5 100
$$\left(- \frac{1051 x^{3}}{100} + \left(- \frac{823 x^{2}}{5} - \frac{2173 x}{5}\right)\right) + \left(\left(\frac{67 x}{100} + \frac{149}{25}\right) \left(\left(\frac{401 x^{2}}{100} + \frac{3759 x}{50}\right) + \frac{35189}{100}\right) + \frac{151 \cdot 883}{25 \cdot 200}\right) = 0$$
Respuesta rápida
[src]
/ 1 \ / / 1 \ \
1400908952113*re|---------------------------------------------------------------------------| |1400908952113*im|---------------------------------------------------------------------------| / / ___________________________\\ / / ___________________________\\| / / ___________________________\\ / / ___________________________\\
| ______________________________________________________| | | ______________________________________________________| | |704097*\/ 5443442810323202584365133 || | |704097*\/ 5443442810323202584365133 ||| | |704097*\/ 5443442810323202584365133 || | |704097*\/ 5443442810323202584365133 ||
|/ ___\ / ___________________________ | | |/ ___\ / ___________________________ | |atan|------------------------------------|| |atan|------------------------------------||| |atan|------------------------------------|| |atan|------------------------------------||
|| 1 I*\/ 3 | / 225271530483134750 I*\/ 5443442810323202584365133 | | || 1 I*\/ 3 | / 225271530483134750 I*\/ 5443442810323202584365133 | ______________________________________________________ | \ 225271530483134750 /| ______________________________________________________ | \ 225271530483134750 /|| ______________________________________________________ | \ 225271530483134750 /| ______________________________________________________ | \ 225271530483134750 /|
||- - - -------|*3 / ------------------ + ------------------------------- | | ||- - - -------|*3 / ------------------ + ------------------------------- | \/ 1965756797631776234697026162254053957973953225998833 *sin|------------------------------------------| \/ 5897270392895328704091078486762161873921859677996499 *cos|------------------------------------------|| \/ 1965756797631776234697026162254053957973953225998833 *cos|------------------------------------------| \/ 5897270392895328704091078486762161873921859677996499 *sin|------------------------------------------|
903298 \\ 2 2 / \/ 12928070671434099 18361206867 / | \\ 2 2 / \/ 12928070671434099 18361206867 / \ 3 / \ 3 /| \ 3 / \ 3 /
x1 = - ------ + --------------------------------------------------------------------------------------------- + I*|--------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------| - -------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------
234699 55083620601 \ 55083620601 17583331851066450318278358 17583331851066450318278358 / 17583331851066450318278358 17583331851066450318278358
$$x_{1} = - \frac{903298}{234699} - \frac{\sqrt{1965756797631776234697026162254053957973953225998833} \cos{\left(\frac{\operatorname{atan}{\left(\frac{704097 \sqrt{5443442810323202584365133}}{225271530483134750} \right)}}{3} \right)}}{17583331851066450318278358} + \frac{1400908952113 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{225271530483134750}{12928070671434099} + \frac{\sqrt{5443442810323202584365133} i}{18361206867}}}\right)}}{55083620601} + \frac{\sqrt{5897270392895328704091078486762161873921859677996499} \sin{\left(\frac{\operatorname{atan}{\left(\frac{704097 \sqrt{5443442810323202584365133}}{225271530483134750} \right)}}{3} \right)}}{17583331851066450318278358} + i \left(- \frac{\sqrt{5897270392895328704091078486762161873921859677996499} \cos{\left(\frac{\operatorname{atan}{\left(\frac{704097 \sqrt{5443442810323202584365133}}{225271530483134750} \right)}}{3} \right)}}{17583331851066450318278358} - \frac{\sqrt{1965756797631776234697026162254053957973953225998833} \sin{\left(\frac{\operatorname{atan}{\left(\frac{704097 \sqrt{5443442810323202584365133}}{225271530483134750} \right)}}{3} \right)}}{17583331851066450318278358} + \frac{1400908952113 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{225271530483134750}{12928070671434099} + \frac{\sqrt{5443442810323202584365133} i}{18361206867}}}\right)}}{55083620601}\right)$$
/ 1 \ / / 1 \ \
1400908952113*re|---------------------------------------------------------------------------| |1400908952113*im|---------------------------------------------------------------------------| / / ___________________________\\ / / ___________________________\\| / / ___________________________\\ / / ___________________________\\
| ______________________________________________________| | | ______________________________________________________| | |704097*\/ 5443442810323202584365133 || | |704097*\/ 5443442810323202584365133 ||| | |704097*\/ 5443442810323202584365133 || | |704097*\/ 5443442810323202584365133 ||
|/ ___\ / ___________________________ | | |/ ___\ / ___________________________ | |atan|------------------------------------|| |atan|------------------------------------||| |atan|------------------------------------|| |atan|------------------------------------||
|| 1 I*\/ 3 | / 225271530483134750 I*\/ 5443442810323202584365133 | | || 1 I*\/ 3 | / 225271530483134750 I*\/ 5443442810323202584365133 | ______________________________________________________ | \ 225271530483134750 /| ______________________________________________________ | \ 225271530483134750 /|| ______________________________________________________ | \ 225271530483134750 /| ______________________________________________________ | \ 225271530483134750 /|
||- - + -------|*3 / ------------------ + ------------------------------- | | ||- - + -------|*3 / ------------------ + ------------------------------- | \/ 1965756797631776234697026162254053957973953225998833 *sin|------------------------------------------| \/ 5897270392895328704091078486762161873921859677996499 *cos|------------------------------------------|| \/ 1965756797631776234697026162254053957973953225998833 *cos|------------------------------------------| \/ 5897270392895328704091078486762161873921859677996499 *sin|------------------------------------------|
903298 \\ 2 2 / \/ 12928070671434099 18361206867 / | \\ 2 2 / \/ 12928070671434099 18361206867 / \ 3 / \ 3 /| \ 3 / \ 3 /
x2 = - ------ + --------------------------------------------------------------------------------------------- + I*|--------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------| - -------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------
234699 55083620601 \ 55083620601 17583331851066450318278358 17583331851066450318278358 / 17583331851066450318278358 17583331851066450318278358
$$x_{2} = \frac{1400908952113 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{225271530483134750}{12928070671434099} + \frac{\sqrt{5443442810323202584365133} i}{18361206867}}}\right)}}{55083620601} - \frac{903298}{234699} - \frac{\sqrt{1965756797631776234697026162254053957973953225998833} \cos{\left(\frac{\operatorname{atan}{\left(\frac{704097 \sqrt{5443442810323202584365133}}{225271530483134750} \right)}}{3} \right)}}{17583331851066450318278358} - \frac{\sqrt{5897270392895328704091078486762161873921859677996499} \sin{\left(\frac{\operatorname{atan}{\left(\frac{704097 \sqrt{5443442810323202584365133}}{225271530483134750} \right)}}{3} \right)}}{17583331851066450318278358} + i \left(\frac{1400908952113 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{225271530483134750}{12928070671434099} + \frac{\sqrt{5443442810323202584365133} i}{18361206867}}}\right)}}{55083620601} - \frac{\sqrt{1965756797631776234697026162254053957973953225998833} \sin{\left(\frac{\operatorname{atan}{\left(\frac{704097 \sqrt{5443442810323202584365133}}{225271530483134750} \right)}}{3} \right)}}{17583331851066450318278358} + \frac{\sqrt{5897270392895328704091078486762161873921859677996499} \cos{\left(\frac{\operatorname{atan}{\left(\frac{704097 \sqrt{5443442810323202584365133}}{225271530483134750} \right)}}{3} \right)}}{17583331851066450318278358}\right)$$
/ / / ___________________________\\ / / ___________________________\\\ / / ___________________________\\ / / ___________________________\\
| | |704097*\/ 5443442810323202584365133 || | |704097*\/ 5443442810323202584365133 ||| | |704097*\/ 5443442810323202584365133 || | |704097*\/ 5443442810323202584365133 ||
| |atan|------------------------------------|| |atan|------------------------------------||| |atan|------------------------------------|| |atan|------------------------------------||
| _______________ | \ 225271530483134750 /| ______________________________________________________ | \ 225271530483134750 /|| _______________ | \ 225271530483134750 /| ______________________________________________________ | \ 225271530483134750 /|
| \/ 1400908952113 *sin|------------------------------------------| \/ 1965756797631776234697026162254053957973953225998833 *sin|------------------------------------------|| \/ 1400908952113 *cos|------------------------------------------| \/ 1965756797631776234697026162254053957973953225998833 *cos|------------------------------------------|
903298 | \ 3 / \ 3 /| \ 3 / \ 3 /
x3 = - ------ + I*|- ----------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------| + ----------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------
234699 \ 234699 8791665925533225159139179 / 234699 8791665925533225159139179
$$x_{3} = - \frac{903298}{234699} + \frac{\sqrt{1400908952113} \cos{\left(\frac{\operatorname{atan}{\left(\frac{704097 \sqrt{5443442810323202584365133}}{225271530483134750} \right)}}{3} \right)}}{234699} + \frac{\sqrt{1965756797631776234697026162254053957973953225998833} \cos{\left(\frac{\operatorname{atan}{\left(\frac{704097 \sqrt{5443442810323202584365133}}{225271530483134750} \right)}}{3} \right)}}{8791665925533225159139179} + i \left(- \frac{\sqrt{1400908952113} \sin{\left(\frac{\operatorname{atan}{\left(\frac{704097 \sqrt{5443442810323202584365133}}{225271530483134750} \right)}}{3} \right)}}{234699} + \frac{\sqrt{1965756797631776234697026162254053957973953225998833} \sin{\left(\frac{\operatorname{atan}{\left(\frac{704097 \sqrt{5443442810323202584365133}}{225271530483134750} \right)}}{3} \right)}}{8791665925533225159139179}\right)$$
x3 = -903298/234699 + sqrt(1400908952113)*cos(atan(704097*sqrt(5443442810323202584365133)/225271530483134750)/3)/234699 + sqrt(1965756797631776234697026162254053957973953225998833)*cos(atan(704097*sqrt(5443442810323202584365133)/225271530483134750)/3)/8791665925533225159139179 + i*(-sqrt(1400908952113)*sin(atan(704097*sqrt(5443442810323202584365133)/225271530483134750)/3)/234699 + sqrt(1965756797631776234697026162254053957973953225998833)*sin(atan(704097*sqrt(5443442810323202584365133)/225271530483134750)/3)/8791665925533225159139179)
Suma y producto de raíces
[src]
suma
/ 1 \ / / 1 \ \ / 1 \ / / 1 \ \
1400908952113*re|---------------------------------------------------------------------------| |1400908952113*im|---------------------------------------------------------------------------| / / ___________________________\\ / / ___________________________\\| / / ___________________________\\ / / ___________________________\\ 1400908952113*re|---------------------------------------------------------------------------| |1400908952113*im|---------------------------------------------------------------------------| / / ___________________________\\ / / ___________________________\\| / / ___________________________\\ / / ___________________________\\ / / / ___________________________\\ / / ___________________________\\\ / / ___________________________\\ / / ___________________________\\
| ______________________________________________________| | | ______________________________________________________| | |704097*\/ 5443442810323202584365133 || | |704097*\/ 5443442810323202584365133 ||| | |704097*\/ 5443442810323202584365133 || | |704097*\/ 5443442810323202584365133 || | ______________________________________________________| | | ______________________________________________________| | |704097*\/ 5443442810323202584365133 || | |704097*\/ 5443442810323202584365133 ||| | |704097*\/ 5443442810323202584365133 || | |704097*\/ 5443442810323202584365133 || | | |704097*\/ 5443442810323202584365133 || | |704097*\/ 5443442810323202584365133 ||| | |704097*\/ 5443442810323202584365133 || | |704097*\/ 5443442810323202584365133 ||
|/ ___\ / ___________________________ | | |/ ___\ / ___________________________ | |atan|------------------------------------|| |atan|------------------------------------||| |atan|------------------------------------|| |atan|------------------------------------|| |/ ___\ / ___________________________ | | |/ ___\ / ___________________________ | |atan|------------------------------------|| |atan|------------------------------------||| |atan|------------------------------------|| |atan|------------------------------------|| | |atan|------------------------------------|| |atan|------------------------------------||| |atan|------------------------------------|| |atan|------------------------------------||
|| 1 I*\/ 3 | / 225271530483134750 I*\/ 5443442810323202584365133 | | || 1 I*\/ 3 | / 225271530483134750 I*\/ 5443442810323202584365133 | ______________________________________________________ | \ 225271530483134750 /| ______________________________________________________ | \ 225271530483134750 /|| ______________________________________________________ | \ 225271530483134750 /| ______________________________________________________ | \ 225271530483134750 /| || 1 I*\/ 3 | / 225271530483134750 I*\/ 5443442810323202584365133 | | || 1 I*\/ 3 | / 225271530483134750 I*\/ 5443442810323202584365133 | ______________________________________________________ | \ 225271530483134750 /| ______________________________________________________ | \ 225271530483134750 /|| ______________________________________________________ | \ 225271530483134750 /| ______________________________________________________ | \ 225271530483134750 /| | _______________ | \ 225271530483134750 /| ______________________________________________________ | \ 225271530483134750 /|| _______________ | \ 225271530483134750 /| ______________________________________________________ | \ 225271530483134750 /|
||- - - -------|*3 / ------------------ + ------------------------------- | | ||- - - -------|*3 / ------------------ + ------------------------------- | \/ 1965756797631776234697026162254053957973953225998833 *sin|------------------------------------------| \/ 5897270392895328704091078486762161873921859677996499 *cos|------------------------------------------|| \/ 1965756797631776234697026162254053957973953225998833 *cos|------------------------------------------| \/ 5897270392895328704091078486762161873921859677996499 *sin|------------------------------------------| ||- - + -------|*3 / ------------------ + ------------------------------- | | ||- - + -------|*3 / ------------------ + ------------------------------- | \/ 1965756797631776234697026162254053957973953225998833 *sin|------------------------------------------| \/ 5897270392895328704091078486762161873921859677996499 *cos|------------------------------------------|| \/ 1965756797631776234697026162254053957973953225998833 *cos|------------------------------------------| \/ 5897270392895328704091078486762161873921859677996499 *sin|------------------------------------------| | \/ 1400908952113 *sin|------------------------------------------| \/ 1965756797631776234697026162254053957973953225998833 *sin|------------------------------------------|| \/ 1400908952113 *cos|------------------------------------------| \/ 1965756797631776234697026162254053957973953225998833 *cos|------------------------------------------|
903298 \\ 2 2 / \/ 12928070671434099 18361206867 / | \\ 2 2 / \/ 12928070671434099 18361206867 / \ 3 / \ 3 /| \ 3 / \ 3 / 903298 \\ 2 2 / \/ 12928070671434099 18361206867 / | \\ 2 2 / \/ 12928070671434099 18361206867 / \ 3 / \ 3 /| \ 3 / \ 3 / 903298 | \ 3 / \ 3 /| \ 3 / \ 3 /
- ------ + --------------------------------------------------------------------------------------------- + I*|--------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------| - -------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------- + - ------ + --------------------------------------------------------------------------------------------- + I*|--------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------| - -------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------- + - ------ + I*|- ----------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------| + ----------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------
234699 55083620601 \ 55083620601 17583331851066450318278358 17583331851066450318278358 / 17583331851066450318278358 17583331851066450318278358 234699 55083620601 \ 55083620601 17583331851066450318278358 17583331851066450318278358 / 17583331851066450318278358 17583331851066450318278358 234699 \ 234699 8791665925533225159139179 / 234699 8791665925533225159139179
$$\left(\left(\frac{1400908952113 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{225271530483134750}{12928070671434099} + \frac{\sqrt{5443442810323202584365133} i}{18361206867}}}\right)}}{55083620601} - \frac{903298}{234699} - \frac{\sqrt{1965756797631776234697026162254053957973953225998833} \cos{\left(\frac{\operatorname{atan}{\left(\frac{704097 \sqrt{5443442810323202584365133}}{225271530483134750} \right)}}{3} \right)}}{17583331851066450318278358} - \frac{\sqrt{5897270392895328704091078486762161873921859677996499} \sin{\left(\frac{\operatorname{atan}{\left(\frac{704097 \sqrt{5443442810323202584365133}}{225271530483134750} \right)}}{3} \right)}}{17583331851066450318278358} + i \left(\frac{1400908952113 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{225271530483134750}{12928070671434099} + \frac{\sqrt{5443442810323202584365133} i}{18361206867}}}\right)}}{55083620601} - \frac{\sqrt{1965756797631776234697026162254053957973953225998833} \sin{\left(\frac{\operatorname{atan}{\left(\frac{704097 \sqrt{5443442810323202584365133}}{225271530483134750} \right)}}{3} \right)}}{17583331851066450318278358} + \frac{\sqrt{5897270392895328704091078486762161873921859677996499} \cos{\left(\frac{\operatorname{atan}{\left(\frac{704097 \sqrt{5443442810323202584365133}}{225271530483134750} \right)}}{3} \right)}}{17583331851066450318278358}\right)\right) + \left(- \frac{903298}{234699} - \frac{\sqrt{1965756797631776234697026162254053957973953225998833} \cos{\left(\frac{\operatorname{atan}{\left(\frac{704097 \sqrt{5443442810323202584365133}}{225271530483134750} \right)}}{3} \right)}}{17583331851066450318278358} + \frac{1400908952113 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{225271530483134750}{12928070671434099} + \frac{\sqrt{5443442810323202584365133} i}{18361206867}}}\right)}}{55083620601} + \frac{\sqrt{5897270392895328704091078486762161873921859677996499} \sin{\left(\frac{\operatorname{atan}{\left(\frac{704097 \sqrt{5443442810323202584365133}}{225271530483134750} \right)}}{3} \right)}}{17583331851066450318278358} + i \left(- \frac{\sqrt{5897270392895328704091078486762161873921859677996499} \cos{\left(\frac{\operatorname{atan}{\left(\frac{704097 \sqrt{5443442810323202584365133}}{225271530483134750} \right)}}{3} \right)}}{17583331851066450318278358} - \frac{\sqrt{1965756797631776234697026162254053957973953225998833} \sin{\left(\frac{\operatorname{atan}{\left(\frac{704097 \sqrt{5443442810323202584365133}}{225271530483134750} \right)}}{3} \right)}}{17583331851066450318278358} + \frac{1400908952113 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{225271530483134750}{12928070671434099} + \frac{\sqrt{5443442810323202584365133} i}{18361206867}}}\right)}}{55083620601}\right)\right)\right) + \left(- \frac{903298}{234699} + \frac{\sqrt{1400908952113} \cos{\left(\frac{\operatorname{atan}{\left(\frac{704097 \sqrt{5443442810323202584365133}}{225271530483134750} \right)}}{3} \right)}}{234699} + \frac{\sqrt{1965756797631776234697026162254053957973953225998833} \cos{\left(\frac{\operatorname{atan}{\left(\frac{704097 \sqrt{5443442810323202584365133}}{225271530483134750} \right)}}{3} \right)}}{8791665925533225159139179} + i \left(- \frac{\sqrt{1400908952113} \sin{\left(\frac{\operatorname{atan}{\left(\frac{704097 \sqrt{5443442810323202584365133}}{225271530483134750} \right)}}{3} \right)}}{234699} + \frac{\sqrt{1965756797631776234697026162254053957973953225998833} \sin{\left(\frac{\operatorname{atan}{\left(\frac{704097 \sqrt{5443442810323202584365133}}{225271530483134750} \right)}}{3} \right)}}{8791665925533225159139179}\right)\right)$$
=
/ 1 \ / 1 \ / / 1 \ \ / / 1 \ \
1400908952113*re|---------------------------------------------------------------------------| 1400908952113*re|---------------------------------------------------------------------------| / / / ___________________________\\ / / ___________________________\\\ |1400908952113*im|---------------------------------------------------------------------------| / / ___________________________\\ / / ___________________________\\| |1400908952113*im|---------------------------------------------------------------------------| / / ___________________________\\ / / ___________________________\\| / / ___________________________\\
| ______________________________________________________| | ______________________________________________________| | | |704097*\/ 5443442810323202584365133 || | |704097*\/ 5443442810323202584365133 ||| | | ______________________________________________________| | |704097*\/ 5443442810323202584365133 || | |704097*\/ 5443442810323202584365133 ||| | | ______________________________________________________| | |704097*\/ 5443442810323202584365133 || | |704097*\/ 5443442810323202584365133 ||| | |704097*\/ 5443442810323202584365133 ||
|/ ___\ / ___________________________ | |/ ___\ / ___________________________ | | |atan|------------------------------------|| |atan|------------------------------------||| | |/ ___\ / ___________________________ | |atan|------------------------------------|| |atan|------------------------------------||| | |/ ___\ / ___________________________ | |atan|------------------------------------|| |atan|------------------------------------||| |atan|------------------------------------||
|| 1 I*\/ 3 | / 225271530483134750 I*\/ 5443442810323202584365133 | || 1 I*\/ 3 | / 225271530483134750 I*\/ 5443442810323202584365133 | | _______________ | \ 225271530483134750 /| ______________________________________________________ | \ 225271530483134750 /|| | || 1 I*\/ 3 | / 225271530483134750 I*\/ 5443442810323202584365133 | ______________________________________________________ | \ 225271530483134750 /| ______________________________________________________ | \ 225271530483134750 /|| | || 1 I*\/ 3 | / 225271530483134750 I*\/ 5443442810323202584365133 | ______________________________________________________ | \ 225271530483134750 /| ______________________________________________________ | \ 225271530483134750 /|| _______________ | \ 225271530483134750 /|
||- - + -------|*3 / ------------------ + ------------------------------- | ||- - - -------|*3 / ------------------ + ------------------------------- | | \/ 1400908952113 *sin|------------------------------------------| \/ 1965756797631776234697026162254053957973953225998833 *sin|------------------------------------------|| | ||- - + -------|*3 / ------------------ + ------------------------------- | \/ 1965756797631776234697026162254053957973953225998833 *sin|------------------------------------------| \/ 5897270392895328704091078486762161873921859677996499 *cos|------------------------------------------|| | ||- - - -------|*3 / ------------------ + ------------------------------- | \/ 1965756797631776234697026162254053957973953225998833 *sin|------------------------------------------| \/ 5897270392895328704091078486762161873921859677996499 *cos|------------------------------------------|| \/ 1400908952113 *cos|------------------------------------------|
903298 \\ 2 2 / \/ 12928070671434099 18361206867 / \\ 2 2 / \/ 12928070671434099 18361206867 / | \ 3 / \ 3 /| | \\ 2 2 / \/ 12928070671434099 18361206867 / \ 3 / \ 3 /| | \\ 2 2 / \/ 12928070671434099 18361206867 / \ 3 / \ 3 /| \ 3 /
- ------ + --------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------- + I*|- ----------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------| + I*|--------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------| + I*|--------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------| + -----------------------------------------------------------------
78233 55083620601 55083620601 \ 234699 8791665925533225159139179 / \ 55083620601 17583331851066450318278358 17583331851066450318278358 / \ 55083620601 17583331851066450318278358 17583331851066450318278358 / 234699
$$- \frac{903298}{78233} + \frac{1400908952113 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{225271530483134750}{12928070671434099} + \frac{\sqrt{5443442810323202584365133} i}{18361206867}}}\right)}}{55083620601} + \frac{1400908952113 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{225271530483134750}{12928070671434099} + \frac{\sqrt{5443442810323202584365133} i}{18361206867}}}\right)}}{55083620601} + \frac{\sqrt{1400908952113} \cos{\left(\frac{\operatorname{atan}{\left(\frac{704097 \sqrt{5443442810323202584365133}}{225271530483134750} \right)}}{3} \right)}}{234699} + i \left(- \frac{\sqrt{5897270392895328704091078486762161873921859677996499} \cos{\left(\frac{\operatorname{atan}{\left(\frac{704097 \sqrt{5443442810323202584365133}}{225271530483134750} \right)}}{3} \right)}}{17583331851066450318278358} - \frac{\sqrt{1965756797631776234697026162254053957973953225998833} \sin{\left(\frac{\operatorname{atan}{\left(\frac{704097 \sqrt{5443442810323202584365133}}{225271530483134750} \right)}}{3} \right)}}{17583331851066450318278358} + \frac{1400908952113 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{225271530483134750}{12928070671434099} + \frac{\sqrt{5443442810323202584365133} i}{18361206867}}}\right)}}{55083620601}\right) + i \left(- \frac{\sqrt{1400908952113} \sin{\left(\frac{\operatorname{atan}{\left(\frac{704097 \sqrt{5443442810323202584365133}}{225271530483134750} \right)}}{3} \right)}}{234699} + \frac{\sqrt{1965756797631776234697026162254053957973953225998833} \sin{\left(\frac{\operatorname{atan}{\left(\frac{704097 \sqrt{5443442810323202584365133}}{225271530483134750} \right)}}{3} \right)}}{8791665925533225159139179}\right) + i \left(\frac{1400908952113 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{225271530483134750}{12928070671434099} + \frac{\sqrt{5443442810323202584365133} i}{18361206867}}}\right)}}{55083620601} - \frac{\sqrt{1965756797631776234697026162254053957973953225998833} \sin{\left(\frac{\operatorname{atan}{\left(\frac{704097 \sqrt{5443442810323202584365133}}{225271530483134750} \right)}}{3} \right)}}{17583331851066450318278358} + \frac{\sqrt{5897270392895328704091078486762161873921859677996499} \cos{\left(\frac{\operatorname{atan}{\left(\frac{704097 \sqrt{5443442810323202584365133}}{225271530483134750} \right)}}{3} \right)}}{17583331851066450318278358}\right)$$
producto
/ / 1 \ / / 1 \ \ \ / / 1 \ / / 1 \ \ \ | 1400908952113*re|---------------------------------------------------------------------------| |1400908952113*im|---------------------------------------------------------------------------| / / ___________________________\\ / / ___________________________\\| / / ___________________________\\ / / ___________________________\\| | 1400908952113*re|---------------------------------------------------------------------------| |1400908952113*im|---------------------------------------------------------------------------| / / ___________________________\\ / / ___________________________\\| / / ___________________________\\ / / ___________________________\\| / / / / ___________________________\\ / / ___________________________\\\ / / ___________________________\\ / / ___________________________\\\ | | ______________________________________________________| | | ______________________________________________________| | |704097*\/ 5443442810323202584365133 || | |704097*\/ 5443442810323202584365133 ||| | |704097*\/ 5443442810323202584365133 || | |704097*\/ 5443442810323202584365133 ||| | | ______________________________________________________| | | ______________________________________________________| | |704097*\/ 5443442810323202584365133 || | |704097*\/ 5443442810323202584365133 ||| | |704097*\/ 5443442810323202584365133 || | |704097*\/ 5443442810323202584365133 ||| | | | |704097*\/ 5443442810323202584365133 || | |704097*\/ 5443442810323202584365133 ||| | |704097*\/ 5443442810323202584365133 || | |704097*\/ 5443442810323202584365133 ||| | |/ ___\ / ___________________________ | | |/ ___\ / ___________________________ | |atan|------------------------------------|| |atan|------------------------------------||| |atan|------------------------------------|| |atan|------------------------------------||| | |/ ___\ / ___________________________ | | |/ ___\ / ___________________________ | |atan|------------------------------------|| |atan|------------------------------------||| |atan|------------------------------------|| |atan|------------------------------------||| | | |atan|------------------------------------|| |atan|------------------------------------||| |atan|------------------------------------|| |atan|------------------------------------||| | || 1 I*\/ 3 | / 225271530483134750 I*\/ 5443442810323202584365133 | | || 1 I*\/ 3 | / 225271530483134750 I*\/ 5443442810323202584365133 | ______________________________________________________ | \ 225271530483134750 /| ______________________________________________________ | \ 225271530483134750 /|| ______________________________________________________ | \ 225271530483134750 /| ______________________________________________________ | \ 225271530483134750 /|| | || 1 I*\/ 3 | / 225271530483134750 I*\/ 5443442810323202584365133 | | || 1 I*\/ 3 | / 225271530483134750 I*\/ 5443442810323202584365133 | ______________________________________________________ | \ 225271530483134750 /| ______________________________________________________ | \ 225271530483134750 /|| ______________________________________________________ | \ 225271530483134750 /| ______________________________________________________ | \ 225271530483134750 /|| | | _______________ | \ 225271530483134750 /| ______________________________________________________ | \ 225271530483134750 /|| _______________ | \ 225271530483134750 /| ______________________________________________________ | \ 225271530483134750 /|| | ||- - - -------|*3 / ------------------ + ------------------------------- | | ||- - - -------|*3 / ------------------ + ------------------------------- | \/ 1965756797631776234697026162254053957973953225998833 *sin|------------------------------------------| \/ 5897270392895328704091078486762161873921859677996499 *cos|------------------------------------------|| \/ 1965756797631776234697026162254053957973953225998833 *cos|------------------------------------------| \/ 5897270392895328704091078486762161873921859677996499 *sin|------------------------------------------|| | ||- - + -------|*3 / ------------------ + ------------------------------- | | ||- - + -------|*3 / ------------------ + ------------------------------- | \/ 1965756797631776234697026162254053957973953225998833 *sin|------------------------------------------| \/ 5897270392895328704091078486762161873921859677996499 *cos|------------------------------------------|| \/ 1965756797631776234697026162254053957973953225998833 *cos|------------------------------------------| \/ 5897270392895328704091078486762161873921859677996499 *sin|------------------------------------------|| | | \/ 1400908952113 *sin|------------------------------------------| \/ 1965756797631776234697026162254053957973953225998833 *sin|------------------------------------------|| \/ 1400908952113 *cos|------------------------------------------| \/ 1965756797631776234697026162254053957973953225998833 *cos|------------------------------------------|| | 903298 \\ 2 2 / \/ 12928070671434099 18361206867 / | \\ 2 2 / \/ 12928070671434099 18361206867 / \ 3 / \ 3 /| \ 3 / \ 3 /| | 903298 \\ 2 2 / \/ 12928070671434099 18361206867 / | \\ 2 2 / \/ 12928070671434099 18361206867 / \ 3 / \ 3 /| \ 3 / \ 3 /| | 903298 | \ 3 / \ 3 /| \ 3 / \ 3 /| |- ------ + --------------------------------------------------------------------------------------------- + I*|--------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------| - -------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------|*|- ------ + --------------------------------------------------------------------------------------------- + I*|--------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------| - -------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------|*|- ------ + I*|- ----------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------| + ----------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------| \ 234699 55083620601 \ 55083620601 17583331851066450318278358 17583331851066450318278358 / 17583331851066450318278358 17583331851066450318278358 / \ 234699 55083620601 \ 55083620601 17583331851066450318278358 17583331851066450318278358 / 17583331851066450318278358 17583331851066450318278358 / \ 234699 \ 234699 8791665925533225159139179 / 234699 8791665925533225159139179 /
$$\left(- \frac{903298}{234699} - \frac{\sqrt{1965756797631776234697026162254053957973953225998833} \cos{\left(\frac{\operatorname{atan}{\left(\frac{704097 \sqrt{5443442810323202584365133}}{225271530483134750} \right)}}{3} \right)}}{17583331851066450318278358} + \frac{1400908952113 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{225271530483134750}{12928070671434099} + \frac{\sqrt{5443442810323202584365133} i}{18361206867}}}\right)}}{55083620601} + \frac{\sqrt{5897270392895328704091078486762161873921859677996499} \sin{\left(\frac{\operatorname{atan}{\left(\frac{704097 \sqrt{5443442810323202584365133}}{225271530483134750} \right)}}{3} \right)}}{17583331851066450318278358} + i \left(- \frac{\sqrt{5897270392895328704091078486762161873921859677996499} \cos{\left(\frac{\operatorname{atan}{\left(\frac{704097 \sqrt{5443442810323202584365133}}{225271530483134750} \right)}}{3} \right)}}{17583331851066450318278358} - \frac{\sqrt{1965756797631776234697026162254053957973953225998833} \sin{\left(\frac{\operatorname{atan}{\left(\frac{704097 \sqrt{5443442810323202584365133}}{225271530483134750} \right)}}{3} \right)}}{17583331851066450318278358} + \frac{1400908952113 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{225271530483134750}{12928070671434099} + \frac{\sqrt{5443442810323202584365133} i}{18361206867}}}\right)}}{55083620601}\right)\right) \left(\frac{1400908952113 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{225271530483134750}{12928070671434099} + \frac{\sqrt{5443442810323202584365133} i}{18361206867}}}\right)}}{55083620601} - \frac{903298}{234699} - \frac{\sqrt{1965756797631776234697026162254053957973953225998833} \cos{\left(\frac{\operatorname{atan}{\left(\frac{704097 \sqrt{5443442810323202584365133}}{225271530483134750} \right)}}{3} \right)}}{17583331851066450318278358} - \frac{\sqrt{5897270392895328704091078486762161873921859677996499} \sin{\left(\frac{\operatorname{atan}{\left(\frac{704097 \sqrt{5443442810323202584365133}}{225271530483134750} \right)}}{3} \right)}}{17583331851066450318278358} + i \left(\frac{1400908952113 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{225271530483134750}{12928070671434099} + \frac{\sqrt{5443442810323202584365133} i}{18361206867}}}\right)}}{55083620601} - \frac{\sqrt{1965756797631776234697026162254053957973953225998833} \sin{\left(\frac{\operatorname{atan}{\left(\frac{704097 \sqrt{5443442810323202584365133}}{225271530483134750} \right)}}{3} \right)}}{17583331851066450318278358} + \frac{\sqrt{5897270392895328704091078486762161873921859677996499} \cos{\left(\frac{\operatorname{atan}{\left(\frac{704097 \sqrt{5443442810323202584365133}}{225271530483134750} \right)}}{3} \right)}}{17583331851066450318278358}\right)\right) \left(- \frac{903298}{234699} + \frac{\sqrt{1400908952113} \cos{\left(\frac{\operatorname{atan}{\left(\frac{704097 \sqrt{5443442810323202584365133}}{225271530483134750} \right)}}{3} \right)}}{234699} + \frac{\sqrt{1965756797631776234697026162254053957973953225998833} \cos{\left(\frac{\operatorname{atan}{\left(\frac{704097 \sqrt{5443442810323202584365133}}{225271530483134750} \right)}}{3} \right)}}{8791665925533225159139179} + i \left(- \frac{\sqrt{1400908952113} \sin{\left(\frac{\operatorname{atan}{\left(\frac{704097 \sqrt{5443442810323202584365133}}{225271530483134750} \right)}}{3} \right)}}{234699} + \frac{\sqrt{1965756797631776234697026162254053957973953225998833} \sin{\left(\frac{\operatorname{atan}{\left(\frac{704097 \sqrt{5443442810323202584365133}}{225271530483134750} \right)}}{3} \right)}}{8791665925533225159139179}\right)\right)$$
=
/ / / ___________________________\\ / / ___________________________\\ / / ___________________________\\\ / / / / ___________________________\\ / / ___________________________\\\ / / ___________________________\\ / / ___________________________\\\ / / / / ___________________________\\ / / ___________________________\\\ / / ___________________________\\ / / ___________________________\\\
| | |704097*\/ 5443442810323202584365133 || | |704097*\/ 5443442810323202584365133 || | |704097*\/ 5443442810323202584365133 ||| | | | |704097*\/ 5443442810323202584365133 || | |704097*\/ 5443442810323202584365133 ||| | |704097*\/ 5443442810323202584365133 || | |704097*\/ 5443442810323202584365133 ||| | | | |704097*\/ 5443442810323202584365133 || | |704097*\/ 5443442810323202584365133 ||| | |704097*\/ 5443442810323202584365133 || | |704097*\/ 5443442810323202584365133 |||
| |atan|------------------------------------|| |atan|------------------------------------|| |atan|------------------------------------||| | | |atan|------------------------------------|| |atan|------------------------------------||| |atan|------------------------------------|| |atan|------------------------------------||| | | |atan|------------------------------------|| |atan|------------------------------------||| |atan|------------------------------------|| |atan|------------------------------------|||
| ______________________________________________________ | \ 225271530483134750 /| _______________ | \ 225271530483134750 /| / ______________________________________________________ _______________\ | \ 225271530483134750 /|| | / 1 \ | / 1 \ ______________________________________________________ | \ 225271530483134750 /| ______________________________________________________ | \ 225271530483134750 /|| ______________________________________________________ | \ 225271530483134750 /| ______________________________________________________ | \ 225271530483134750 /|| | / 1 \ | / 1 \ ______________________________________________________ | \ 225271530483134750 /| ______________________________________________________ | \ 225271530483134750 /|| ______________________________________________________ | \ 225271530483134750 /| ______________________________________________________ | \ 225271530483134750 /||
-|33836932612419785426440258 - \/ 1965756797631776234697026162254053957973953225998833 *cos|------------------------------------------| - 37459324179196439521*\/ 1400908952113 *cos|------------------------------------------| + I*\- \/ 1965756797631776234697026162254053957973953225998833 + 37459324179196439521*\/ 1400908952113 /*sin|------------------------------------------||*|67673865224839570852880516 + 209908410330956991694978758631492*re|------------------------------------------------------------------------------| + I*|209908410330956991694978758631492*im|------------------------------------------------------------------------------| + \/ 1965756797631776234697026162254053957973953225998833 *sin|------------------------------------------| + \/ 5897270392895328704091078486762161873921859677996499 *cos|------------------------------------------|| + \/ 1965756797631776234697026162254053957973953225998833 *cos|------------------------------------------| - \/ 5897270392895328704091078486762161873921859677996499 *sin|------------------------------------------||*|67673865224839570852880516 + 209908410330956991694978758631492*re|------------------------------------------------------------------------------| + I*|209908410330956991694978758631492*im|------------------------------------------------------------------------------| + \/ 1965756797631776234697026162254053957973953225998833 *sin|------------------------------------------| - \/ 5897270392895328704091078486762161873921859677996499 *cos|------------------------------------------|| + \/ 1965756797631776234697026162254053957973953225998833 *cos|------------------------------------------| + \/ 5897270392895328704091078486762161873921859677996499 *sin|------------------------------------------||
\ \ 3 / \ 3 / \ 3 // | | _____________________________________________________________| | | _____________________________________________________________| \ 3 / \ 3 /| \ 3 / \ 3 /| | | _____________________________________________________________| | | _____________________________________________________________| \ 3 / \ 3 /| \ 3 / \ 3 /|
| |/ ___\ 3 / ___________________________ | | |/ ___\ 3 / ___________________________ | | | | |/ ___\ 3 / ___________________________ | | |/ ___\ 3 / ___________________________ | | |
\ \\1 + I*\/ 3 /*\/ 225271530483134750 + 704097*I*\/ 5443442810323202584365133 / \ \\1 + I*\/ 3 /*\/ 225271530483134750 + 704097*I*\/ 5443442810323202584365133 / / / \ \\1 - I*\/ 3 /*\/ 225271530483134750 + 704097*I*\/ 5443442810323202584365133 / \ \\1 - I*\/ 3 /*\/ 225271530483134750 + 704097*I*\/ 5443442810323202584365133 / / /
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2718150643601869189164830273061726788052260376585615008612311993761203329356
$$- \frac{\left(- \sqrt{1965756797631776234697026162254053957973953225998833} \cos{\left(\frac{\operatorname{atan}{\left(\frac{704097 \sqrt{5443442810323202584365133}}{225271530483134750} \right)}}{3} \right)} - 37459324179196439521 \sqrt{1400908952113} \cos{\left(\frac{\operatorname{atan}{\left(\frac{704097 \sqrt{5443442810323202584365133}}{225271530483134750} \right)}}{3} \right)} + 33836932612419785426440258 + i \left(- \sqrt{1965756797631776234697026162254053957973953225998833} + 37459324179196439521 \sqrt{1400908952113}\right) \sin{\left(\frac{\operatorname{atan}{\left(\frac{704097 \sqrt{5443442810323202584365133}}{225271530483134750} \right)}}{3} \right)}\right) \left(- \sqrt{5897270392895328704091078486762161873921859677996499} \sin{\left(\frac{\operatorname{atan}{\left(\frac{704097 \sqrt{5443442810323202584365133}}{225271530483134750} \right)}}{3} \right)} + 209908410330956991694978758631492 \operatorname{re}{\left(\frac{1}{\left(1 + \sqrt{3} i\right) \sqrt[3]{225271530483134750 + 704097 \sqrt{5443442810323202584365133} i}}\right)} + \sqrt{1965756797631776234697026162254053957973953225998833} \cos{\left(\frac{\operatorname{atan}{\left(\frac{704097 \sqrt{5443442810323202584365133}}{225271530483134750} \right)}}{3} \right)} + 67673865224839570852880516 + i \left(209908410330956991694978758631492 \operatorname{im}{\left(\frac{1}{\left(1 + \sqrt{3} i\right) \sqrt[3]{225271530483134750 + 704097 \sqrt{5443442810323202584365133} i}}\right)} + \sqrt{1965756797631776234697026162254053957973953225998833} \sin{\left(\frac{\operatorname{atan}{\left(\frac{704097 \sqrt{5443442810323202584365133}}{225271530483134750} \right)}}{3} \right)} + \sqrt{5897270392895328704091078486762161873921859677996499} \cos{\left(\frac{\operatorname{atan}{\left(\frac{704097 \sqrt{5443442810323202584365133}}{225271530483134750} \right)}}{3} \right)}\right)\right) \left(\sqrt{5897270392895328704091078486762161873921859677996499} \sin{\left(\frac{\operatorname{atan}{\left(\frac{704097 \sqrt{5443442810323202584365133}}{225271530483134750} \right)}}{3} \right)} + \sqrt{1965756797631776234697026162254053957973953225998833} \cos{\left(\frac{\operatorname{atan}{\left(\frac{704097 \sqrt{5443442810323202584365133}}{225271530483134750} \right)}}{3} \right)} + 67673865224839570852880516 + 209908410330956991694978758631492 \operatorname{re}{\left(\frac{1}{\left(1 - \sqrt{3} i\right) \sqrt[3]{225271530483134750 + 704097 \sqrt{5443442810323202584365133} i}}\right)} + i \left(- \sqrt{5897270392895328704091078486762161873921859677996499} \cos{\left(\frac{\operatorname{atan}{\left(\frac{704097 \sqrt{5443442810323202584365133}}{225271530483134750} \right)}}{3} \right)} + \sqrt{1965756797631776234697026162254053957973953225998833} \sin{\left(\frac{\operatorname{atan}{\left(\frac{704097 \sqrt{5443442810323202584365133}}{225271530483134750} \right)}}{3} \right)} + 209908410330956991694978758631492 \operatorname{im}{\left(\frac{1}{\left(1 - \sqrt{3} i\right) \sqrt[3]{225271530483134750 + 704097 \sqrt{5443442810323202584365133} i}}\right)}\right)\right)}{2718150643601869189164830273061726788052260376585615008612311993761203329356}$$
-(33836932612419785426440258 - sqrt(1965756797631776234697026162254053957973953225998833)*cos(atan(704097*sqrt(5443442810323202584365133)/225271530483134750)/3) - 37459324179196439521*sqrt(1400908952113)*cos(atan(704097*sqrt(5443442810323202584365133)/225271530483134750)/3) + i*(-sqrt(1965756797631776234697026162254053957973953225998833) + 37459324179196439521*sqrt(1400908952113))*sin(atan(704097*sqrt(5443442810323202584365133)/225271530483134750)/3))*(67673865224839570852880516 + 209908410330956991694978758631492*re(1/((1 + i*sqrt(3))*(225271530483134750 + 704097*i*sqrt(5443442810323202584365133))^(1/3))) + i*(209908410330956991694978758631492*im(1/((1 + i*sqrt(3))*(225271530483134750 + 704097*i*sqrt(5443442810323202584365133))^(1/3))) + sqrt(1965756797631776234697026162254053957973953225998833)*sin(atan(704097*sqrt(5443442810323202584365133)/225271530483134750)/3) + sqrt(5897270392895328704091078486762161873921859677996499)*cos(atan(704097*sqrt(5443442810323202584365133)/225271530483134750)/3)) + sqrt(1965756797631776234697026162254053957973953225998833)*cos(atan(704097*sqrt(5443442810323202584365133)/225271530483134750)/3) - sqrt(5897270392895328704091078486762161873921859677996499)*sin(atan(704097*sqrt(5443442810323202584365133)/225271530483134750)/3))*(67673865224839570852880516 + 209908410330956991694978758631492*re(1/((1 - i*sqrt(3))*(225271530483134750 + 704097*i*sqrt(5443442810323202584365133))^(1/3))) + i*(209908410330956991694978758631492*im(1/((1 - i*sqrt(3))*(225271530483134750 + 704097*i*sqrt(5443442810323202584365133))^(1/3))) + sqrt(1965756797631776234697026162254053957973953225998833)*sin(atan(704097*sqrt(5443442810323202584365133)/225271530483134750)/3) - sqrt(5897270392895328704091078486762161873921859677996499)*cos(atan(704097*sqrt(5443442810323202584365133)/225271530483134750)/3)) + sqrt(1965756797631776234697026162254053957973953225998833)*cos(atan(704097*sqrt(5443442810323202584365133)/225271530483134750)/3) + sqrt(5897270392895328704091078486762161873921859677996499)*sin(atan(704097*sqrt(5443442810323202584365133)/225271530483134750)/3))/2718150643601869189164830273061726788052260376585615008612311993761203329356
Respuesta numérica
[src]
x1 = -12.3455547515746
x2 = 5.10607837379673
x3 = -4.30677648226835
x3 = -4.30677648226835