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- La ecuación:
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Ecuación 6*x^2+x-7=0
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Ecuación 2-5(3+2x)=17
-
Ecuación (6*x+8)/2+5=5*x/3
-
Ecuación -2*(-2-y)-y-2=0
- Expresar {x} en función de y en la ecuación:
- -9*x-12*y=-19
- -8*x+3*y=-4
- 10*x+3*y=2
- -10*x-12*y=-10
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Expresiones idénticas
- (doscientos cincuenta y nueve , sesenta y cinco *(diecinueve , dos *(x+ uno , noventa y dos)+ cero , uno 5x^ dos))/(uno , dos *(veintitrés , cincuenta y nueve + diecinueve , dos (x+1, noventa y dos)^ dos + cero ,1x^ tres))- trece = cero
- (259,65 multiplicar por (19,2 multiplicar por (x más 1,92) más 0,15x al cuadrado )) dividir por (1,2 multiplicar por (23,59 más 19,2(x más 1,92) al cuadrado más 0,1x al cubo )) menos 13 es igual a 0
- (doscientos cincuenta y nueve , sesenta y cinco multiplicar por (diecinueve , dos multiplicar por (x más uno , noventa y dos) más cero , uno 5x en el grado dos)) dividir por (uno , dos multiplicar por (veintitrés , cincuenta y nueve más diecinueve , dos (x más 1, noventa y dos) en el grado dos más cero ,1x en el grado tres)) menos trece es igual a cero
- (259,65*(19,2*(x+1,92)+0,15x2))/(1,2*(23,59+19,2(x+1,92)2+0,1x3))-13=0
- 259,65*19,2*x+1,92+0,15x2/1,2*23,59+19,2x+1,922+0,1x3-13=0
- (259,65*(19,2*(x+1,92)+0,15x²))/(1,2*(23,59+19,2(x+1,92)²+0,1x³))-13=0
- (259,65*(19,2*(x+1,92)+0,15x en el grado 2))/(1,2*(23,59+19,2(x+1,92) en el grado 2+0,1x en el grado 3))-13=0
- (259,65(19,2(x+1,92)+0,15x^2))/(1,2(23,59+19,2(x+1,92)^2+0,1x^3))-13=0
- (259,65(19,2(x+1,92)+0,15x2))/(1,2(23,59+19,2(x+1,92)2+0,1x3))-13=0
- 259,6519,2x+1,92+0,15x2/1,223,59+19,2x+1,922+0,1x3-13=0
- 259,6519,2x+1,92+0,15x^2/1,223,59+19,2x+1,92^2+0,1x^3-13=0
- (259,65*(19,2*(x+1,92)+0,15x^2))/(1,2*(23,59+19,2(x+1,92)^2+0,1x^3))-13=O
- (259,65*(19,2*(x+1,92)+0,15x^2)) dividir por (1,2*(23,59+19,2(x+1,92)^2+0,1x^3))-13=0
-
Expresiones semejantes
- (259,65*(19,2*(x+1,92)+0,15x^2))/(1,2*(23,59+19,2(x+1,92)^2-0,1x^3))-13=0
- (259,65*(19,2*(x+1,92)+0,15x^2))/(1,2*(23,59+19,2(x-1,92)^2+0,1x^3))-13=0
- (259,65*(19,2*(x+1,92)+0,15x^2))/(1,2*(23,59+19,2(x+1,92)^2+0,1x^3))+13=0
- (259,65*(19,2*(x+1,92)-0,15x^2))/(1,2*(23,59+19,2(x+1,92)^2+0,1x^3))-13=0
- (259,65*(19,2*(x+1,92)+0,15x^2))/(1,2*(23,59-19,2(x+1,92)^2+0,1x^3))-13=0
- (259,65*(19,2*(x-1,92)+0,15x^2))/(1,2*(23,59+19,2(x+1,92)^2+0,1x^3))-13=0
(259,65*(19,2*(x+1,92)+0,15x^2))/(1,2*(23,59+19,2(x+1,92)^2+0,1x^3))-13=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
/ / / 48\ \\ | |96*|x + --| 2|| | | \ 25/ 3*x || |5193*|----------- + ----|| | \ 5 20 /| |-------------------------| \ 20 / ------------------------------ - 13 = 0 / / 2 \\ | | / 48\ || | | 96*|x + --| 3|| | |2359 \ 25/ x || |6*|---- + ------------ + --|| | \100 5 10/| |----------------------------| \ 5 /
$$\frac{\frac{5193}{20} \left(\frac{3 x^{2}}{20} + \frac{96 \left(x + \frac{48}{25}\right)}{5}\right)}{\frac{6}{5} \left(\frac{x^{3}}{10} + \left(\frac{96 \left(x + \frac{48}{25}\right)^{2}}{5} + \frac{2359}{100}\right)\right)} - 13 = 0$$
Respuesta rápida
[src]
/ 1 \ / / 1 \ \
12717985827*re|----------------------------------------------------------------------------| | 12717985827*im|----------------------------------------------------------------------------| / / __________________________\\ / / __________________________\\| / / __________________________\\ / / __________________________\\
| _______________________________________________________| | | _______________________________________________________| | |416*\/ 613515980301631184256106 || | |416*\/ 613515980301631184256106 ||| | |416*\/ 613515980301631184256106 || | |416*\/ 613515980301631184256106 ||
|/ ___\ / __________________________ | | |/ ___\ / __________________________ | |atan|--------------------------------|| |atan|--------------------------------||| |atan|--------------------------------|| |atan|--------------------------------||
|| 1 I*\/ 3 | / 36209686530556791 27*I*\/ 613515980301631184256106 | | || 1 I*\/ 3 | / 36209686530556791 27*I*\/ 613515980301631184256106 | ____________ | \ 1341099501131733 /| _____________ | \ 1341099501131733 /|| _____________ | \ 1341099501131733 /| ____________ | \ 1341099501131733 /|
||- - - -------|*3 / ----------------- + --------------------------------- | | ||- - - -------|*3 / ----------------- + --------------------------------- | \/ 4239328609 *sin|--------------------------------------| \/ 12717985827 *cos|--------------------------------------|| \/ 12717985827 *sin|--------------------------------------| \/ 4239328609 *cos|--------------------------------------|
11581 \\ 2 2 / \/ 5624320000 13520000 / | \\ 2 2 / \/ 5624320000 13520000 / \ 3 / \ 3 /| \ 3 / \ 3 /
x1 = - ----- - -------------------------------------------------------------------------------------------- + I*|- -------------------------------------------------------------------------------------------- + ---------------------------------------------------------- + -----------------------------------------------------------| - ----------------------------------------------------------- + ----------------------------------------------------------
208 1081600 \ 1081600 2080 2080 / 2080 2080
$$x_{1} = - \frac{11581}{208} - \frac{\sqrt{12717985827} \sin{\left(\frac{\operatorname{atan}{\left(\frac{416 \sqrt{613515980301631184256106}}{1341099501131733} \right)}}{3} \right)}}{2080} - \frac{12717985827 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{36209686530556791}{5624320000} + \frac{27 \sqrt{613515980301631184256106} i}{13520000}}}\right)}}{1081600} + \frac{\sqrt{4239328609} \cos{\left(\frac{\operatorname{atan}{\left(\frac{416 \sqrt{613515980301631184256106}}{1341099501131733} \right)}}{3} \right)}}{2080} + i \left(- \frac{12717985827 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{36209686530556791}{5624320000} + \frac{27 \sqrt{613515980301631184256106} i}{13520000}}}\right)}}{1081600} + \frac{\sqrt{4239328609} \sin{\left(\frac{\operatorname{atan}{\left(\frac{416 \sqrt{613515980301631184256106}}{1341099501131733} \right)}}{3} \right)}}{2080} + \frac{\sqrt{12717985827} \cos{\left(\frac{\operatorname{atan}{\left(\frac{416 \sqrt{613515980301631184256106}}{1341099501131733} \right)}}{3} \right)}}{2080}\right)$$
/ 1 \ / / 1 \ \
12717985827*re|----------------------------------------------------------------------------| | 12717985827*im|----------------------------------------------------------------------------| / / __________________________\\ / / __________________________\\| / / __________________________\\ / / __________________________\\
| _______________________________________________________| | | _______________________________________________________| | |416*\/ 613515980301631184256106 || | |416*\/ 613515980301631184256106 ||| | |416*\/ 613515980301631184256106 || | |416*\/ 613515980301631184256106 ||
|/ ___\ / __________________________ | | |/ ___\ / __________________________ | |atan|--------------------------------|| |atan|--------------------------------||| |atan|--------------------------------|| |atan|--------------------------------||
|| 1 I*\/ 3 | / 36209686530556791 27*I*\/ 613515980301631184256106 | | || 1 I*\/ 3 | / 36209686530556791 27*I*\/ 613515980301631184256106 | _____________ | \ 1341099501131733 /| ____________ | \ 1341099501131733 /|| ____________ | \ 1341099501131733 /| _____________ | \ 1341099501131733 /|
||- - + -------|*3 / ----------------- + --------------------------------- | | ||- - + -------|*3 / ----------------- + --------------------------------- | \/ 12717985827 *cos|--------------------------------------| \/ 4239328609 *sin|--------------------------------------|| \/ 4239328609 *cos|--------------------------------------| \/ 12717985827 *sin|--------------------------------------|
11581 \\ 2 2 / \/ 5624320000 13520000 / | \\ 2 2 / \/ 5624320000 13520000 / \ 3 / \ 3 /| \ 3 / \ 3 /
x2 = - ----- - -------------------------------------------------------------------------------------------- + I*|- -------------------------------------------------------------------------------------------- - ----------------------------------------------------------- + ----------------------------------------------------------| + ---------------------------------------------------------- + -----------------------------------------------------------
208 1081600 \ 1081600 2080 2080 / 2080 2080
$$x_{2} = - \frac{11581}{208} + \frac{\sqrt{12717985827} \sin{\left(\frac{\operatorname{atan}{\left(\frac{416 \sqrt{613515980301631184256106}}{1341099501131733} \right)}}{3} \right)}}{2080} + \frac{\sqrt{4239328609} \cos{\left(\frac{\operatorname{atan}{\left(\frac{416 \sqrt{613515980301631184256106}}{1341099501131733} \right)}}{3} \right)}}{2080} - \frac{12717985827 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{36209686530556791}{5624320000} + \frac{27 \sqrt{613515980301631184256106} i}{13520000}}}\right)}}{1081600} + i \left(- \frac{\sqrt{12717985827} \cos{\left(\frac{\operatorname{atan}{\left(\frac{416 \sqrt{613515980301631184256106}}{1341099501131733} \right)}}{3} \right)}}{2080} + \frac{\sqrt{4239328609} \sin{\left(\frac{\operatorname{atan}{\left(\frac{416 \sqrt{613515980301631184256106}}{1341099501131733} \right)}}{3} \right)}}{2080} - \frac{12717985827 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{36209686530556791}{5624320000} + \frac{27 \sqrt{613515980301631184256106} i}{13520000}}}\right)}}{1081600}\right)$$
_______________________________________________________
/ __________________________
/ 36209686530556791 27*I*\/ 613515980301631184256106
3 / ----------------- + ---------------------------------
11581 12717985827 \/ 5624320000 13520000
x3 = - ----- - -------------------------------------------------------------------- - ------------------------------------------------------------
208 _______________________________________________________ 3
/ __________________________
/ 36209686530556791 27*I*\/ 613515980301631184256106
1081600*3 / ----------------- + ---------------------------------
\/ 5624320000 13520000
$$x_{3} = - \frac{11581}{208} - \frac{\sqrt[3]{\frac{36209686530556791}{5624320000} + \frac{27 \sqrt{613515980301631184256106} i}{13520000}}}{3} - \frac{12717985827}{1081600 \sqrt[3]{\frac{36209686530556791}{5624320000} + \frac{27 \sqrt{613515980301631184256106} i}{13520000}}}$$
x3 = -11581/208 - (36209686530556791/5624320000 + 27*sqrt(613515980301631184256106)*i/13520000)^(1/3)/3 - 12717985827/(1081600*(36209686530556791/5624320000 + 27*sqrt(613515980301631184256106)*i/13520000)^(1/3))
Suma y producto de raíces
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suma
/ 1 \ / / 1 \ \ / 1 \ / / 1 \ \
12717985827*re|----------------------------------------------------------------------------| | 12717985827*im|----------------------------------------------------------------------------| / / __________________________\\ / / __________________________\\| / / __________________________\\ / / __________________________\\ 12717985827*re|----------------------------------------------------------------------------| | 12717985827*im|----------------------------------------------------------------------------| / / __________________________\\ / / __________________________\\| / / __________________________\\ / / __________________________\\
| _______________________________________________________| | | _______________________________________________________| | |416*\/ 613515980301631184256106 || | |416*\/ 613515980301631184256106 ||| | |416*\/ 613515980301631184256106 || | |416*\/ 613515980301631184256106 || | _______________________________________________________| | | _______________________________________________________| | |416*\/ 613515980301631184256106 || | |416*\/ 613515980301631184256106 ||| | |416*\/ 613515980301631184256106 || | |416*\/ 613515980301631184256106 || _______________________________________________________
|/ ___\ / __________________________ | | |/ ___\ / __________________________ | |atan|--------------------------------|| |atan|--------------------------------||| |atan|--------------------------------|| |atan|--------------------------------|| |/ ___\ / __________________________ | | |/ ___\ / __________________________ | |atan|--------------------------------|| |atan|--------------------------------||| |atan|--------------------------------|| |atan|--------------------------------|| / __________________________
|| 1 I*\/ 3 | / 36209686530556791 27*I*\/ 613515980301631184256106 | | || 1 I*\/ 3 | / 36209686530556791 27*I*\/ 613515980301631184256106 | ____________ | \ 1341099501131733 /| _____________ | \ 1341099501131733 /|| _____________ | \ 1341099501131733 /| ____________ | \ 1341099501131733 /| || 1 I*\/ 3 | / 36209686530556791 27*I*\/ 613515980301631184256106 | | || 1 I*\/ 3 | / 36209686530556791 27*I*\/ 613515980301631184256106 | _____________ | \ 1341099501131733 /| ____________ | \ 1341099501131733 /|| ____________ | \ 1341099501131733 /| _____________ | \ 1341099501131733 /| / 36209686530556791 27*I*\/ 613515980301631184256106
||- - - -------|*3 / ----------------- + --------------------------------- | | ||- - - -------|*3 / ----------------- + --------------------------------- | \/ 4239328609 *sin|--------------------------------------| \/ 12717985827 *cos|--------------------------------------|| \/ 12717985827 *sin|--------------------------------------| \/ 4239328609 *cos|--------------------------------------| ||- - + -------|*3 / ----------------- + --------------------------------- | | ||- - + -------|*3 / ----------------- + --------------------------------- | \/ 12717985827 *cos|--------------------------------------| \/ 4239328609 *sin|--------------------------------------|| \/ 4239328609 *cos|--------------------------------------| \/ 12717985827 *sin|--------------------------------------| 3 / ----------------- + ---------------------------------
11581 \\ 2 2 / \/ 5624320000 13520000 / | \\ 2 2 / \/ 5624320000 13520000 / \ 3 / \ 3 /| \ 3 / \ 3 / 11581 \\ 2 2 / \/ 5624320000 13520000 / | \\ 2 2 / \/ 5624320000 13520000 / \ 3 / \ 3 /| \ 3 / \ 3 / 11581 12717985827 \/ 5624320000 13520000
- ----- - -------------------------------------------------------------------------------------------- + I*|- -------------------------------------------------------------------------------------------- + ---------------------------------------------------------- + -----------------------------------------------------------| - ----------------------------------------------------------- + ---------------------------------------------------------- + - ----- - -------------------------------------------------------------------------------------------- + I*|- -------------------------------------------------------------------------------------------- - ----------------------------------------------------------- + ----------------------------------------------------------| + ---------------------------------------------------------- + ----------------------------------------------------------- + - ----- - -------------------------------------------------------------------- - ------------------------------------------------------------
208 1081600 \ 1081600 2080 2080 / 2080 2080 208 1081600 \ 1081600 2080 2080 / 2080 2080 208 _______________________________________________________ 3
/ __________________________
/ 36209686530556791 27*I*\/ 613515980301631184256106
1081600*3 / ----------------- + ---------------------------------
\/ 5624320000 13520000
$$\left(\left(- \frac{11581}{208} + \frac{\sqrt{12717985827} \sin{\left(\frac{\operatorname{atan}{\left(\frac{416 \sqrt{613515980301631184256106}}{1341099501131733} \right)}}{3} \right)}}{2080} + \frac{\sqrt{4239328609} \cos{\left(\frac{\operatorname{atan}{\left(\frac{416 \sqrt{613515980301631184256106}}{1341099501131733} \right)}}{3} \right)}}{2080} - \frac{12717985827 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{36209686530556791}{5624320000} + \frac{27 \sqrt{613515980301631184256106} i}{13520000}}}\right)}}{1081600} + i \left(- \frac{\sqrt{12717985827} \cos{\left(\frac{\operatorname{atan}{\left(\frac{416 \sqrt{613515980301631184256106}}{1341099501131733} \right)}}{3} \right)}}{2080} + \frac{\sqrt{4239328609} \sin{\left(\frac{\operatorname{atan}{\left(\frac{416 \sqrt{613515980301631184256106}}{1341099501131733} \right)}}{3} \right)}}{2080} - \frac{12717985827 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{36209686530556791}{5624320000} + \frac{27 \sqrt{613515980301631184256106} i}{13520000}}}\right)}}{1081600}\right)\right) + \left(- \frac{11581}{208} - \frac{\sqrt{12717985827} \sin{\left(\frac{\operatorname{atan}{\left(\frac{416 \sqrt{613515980301631184256106}}{1341099501131733} \right)}}{3} \right)}}{2080} - \frac{12717985827 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{36209686530556791}{5624320000} + \frac{27 \sqrt{613515980301631184256106} i}{13520000}}}\right)}}{1081600} + \frac{\sqrt{4239328609} \cos{\left(\frac{\operatorname{atan}{\left(\frac{416 \sqrt{613515980301631184256106}}{1341099501131733} \right)}}{3} \right)}}{2080} + i \left(- \frac{12717985827 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{36209686530556791}{5624320000} + \frac{27 \sqrt{613515980301631184256106} i}{13520000}}}\right)}}{1081600} + \frac{\sqrt{4239328609} \sin{\left(\frac{\operatorname{atan}{\left(\frac{416 \sqrt{613515980301631184256106}}{1341099501131733} \right)}}{3} \right)}}{2080} + \frac{\sqrt{12717985827} \cos{\left(\frac{\operatorname{atan}{\left(\frac{416 \sqrt{613515980301631184256106}}{1341099501131733} \right)}}{3} \right)}}{2080}\right)\right)\right) + \left(- \frac{11581}{208} - \frac{\sqrt[3]{\frac{36209686530556791}{5624320000} + \frac{27 \sqrt{613515980301631184256106} i}{13520000}}}{3} - \frac{12717985827}{1081600 \sqrt[3]{\frac{36209686530556791}{5624320000} + \frac{27 \sqrt{613515980301631184256106} i}{13520000}}}\right)$$
=
/ 1 \ / 1 \ / / 1 \ \ / / 1 \ \
12717985827*re|----------------------------------------------------------------------------| 12717985827*re|----------------------------------------------------------------------------| | 12717985827*im|----------------------------------------------------------------------------| / / __________________________\\ / / __________________________\\| | 12717985827*im|----------------------------------------------------------------------------| / / __________________________\\ / / __________________________\\| / / __________________________\\
| _______________________________________________________| | _______________________________________________________| _______________________________________________________ | | _______________________________________________________| | |416*\/ 613515980301631184256106 || | |416*\/ 613515980301631184256106 ||| | | _______________________________________________________| | |416*\/ 613515980301631184256106 || | |416*\/ 613515980301631184256106 ||| | |416*\/ 613515980301631184256106 ||
|/ ___\ / __________________________ | |/ ___\ / __________________________ | / __________________________ | |/ ___\ / __________________________ | |atan|--------------------------------|| |atan|--------------------------------||| | |/ ___\ / __________________________ | |atan|--------------------------------|| |atan|--------------------------------||| |atan|--------------------------------||
|| 1 I*\/ 3 | / 36209686530556791 27*I*\/ 613515980301631184256106 | || 1 I*\/ 3 | / 36209686530556791 27*I*\/ 613515980301631184256106 | / 36209686530556791 27*I*\/ 613515980301631184256106 | || 1 I*\/ 3 | / 36209686530556791 27*I*\/ 613515980301631184256106 | _____________ | \ 1341099501131733 /| ____________ | \ 1341099501131733 /|| | || 1 I*\/ 3 | / 36209686530556791 27*I*\/ 613515980301631184256106 | ____________ | \ 1341099501131733 /| _____________ | \ 1341099501131733 /|| ____________ | \ 1341099501131733 /|
||- - + -------|*3 / ----------------- + --------------------------------- | ||- - - -------|*3 / ----------------- + --------------------------------- | 3 / ----------------- + --------------------------------- | ||- - + -------|*3 / ----------------- + --------------------------------- | \/ 12717985827 *cos|--------------------------------------| \/ 4239328609 *sin|--------------------------------------|| | ||- - - -------|*3 / ----------------- + --------------------------------- | \/ 4239328609 *sin|--------------------------------------| \/ 12717985827 *cos|--------------------------------------|| \/ 4239328609 *cos|--------------------------------------|
34743 12717985827 \\ 2 2 / \/ 5624320000 13520000 / \\ 2 2 / \/ 5624320000 13520000 / \/ 5624320000 13520000 | \\ 2 2 / \/ 5624320000 13520000 / \ 3 / \ 3 /| | \\ 2 2 / \/ 5624320000 13520000 / \ 3 / \ 3 /| \ 3 /
- ----- - -------------------------------------------------------------------- - -------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------- - ------------------------------------------------------------ + I*|- -------------------------------------------------------------------------------------------- - ----------------------------------------------------------- + ----------------------------------------------------------| + I*|- -------------------------------------------------------------------------------------------- + ---------------------------------------------------------- + -----------------------------------------------------------| + ----------------------------------------------------------
208 _______________________________________________________ 1081600 1081600 3 \ 1081600 2080 2080 / \ 1081600 2080 2080 / 1040
/ __________________________
/ 36209686530556791 27*I*\/ 613515980301631184256106
1081600*3 / ----------------- + ---------------------------------
\/ 5624320000 13520000
$$- \frac{34743}{208} - \frac{12717985827 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{36209686530556791}{5624320000} + \frac{27 \sqrt{613515980301631184256106} i}{13520000}}}\right)}}{1081600} - \frac{12717985827 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{36209686530556791}{5624320000} + \frac{27 \sqrt{613515980301631184256106} i}{13520000}}}\right)}}{1081600} + \frac{\sqrt{4239328609} \cos{\left(\frac{\operatorname{atan}{\left(\frac{416 \sqrt{613515980301631184256106}}{1341099501131733} \right)}}{3} \right)}}{1040} - \frac{\sqrt[3]{\frac{36209686530556791}{5624320000} + \frac{27 \sqrt{613515980301631184256106} i}{13520000}}}{3} + i \left(- \frac{12717985827 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{36209686530556791}{5624320000} + \frac{27 \sqrt{613515980301631184256106} i}{13520000}}}\right)}}{1081600} + \frac{\sqrt{4239328609} \sin{\left(\frac{\operatorname{atan}{\left(\frac{416 \sqrt{613515980301631184256106}}{1341099501131733} \right)}}{3} \right)}}{2080} + \frac{\sqrt{12717985827} \cos{\left(\frac{\operatorname{atan}{\left(\frac{416 \sqrt{613515980301631184256106}}{1341099501131733} \right)}}{3} \right)}}{2080}\right) + i \left(- \frac{\sqrt{12717985827} \cos{\left(\frac{\operatorname{atan}{\left(\frac{416 \sqrt{613515980301631184256106}}{1341099501131733} \right)}}{3} \right)}}{2080} + \frac{\sqrt{4239328609} \sin{\left(\frac{\operatorname{atan}{\left(\frac{416 \sqrt{613515980301631184256106}}{1341099501131733} \right)}}{3} \right)}}{2080} - \frac{12717985827 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{36209686530556791}{5624320000} + \frac{27 \sqrt{613515980301631184256106} i}{13520000}}}\right)}}{1081600}\right) - \frac{12717985827}{1081600 \sqrt[3]{\frac{36209686530556791}{5624320000} + \frac{27 \sqrt{613515980301631184256106} i}{13520000}}}$$
producto
/ / 1 \ / / 1 \ \ \ / / 1 \ / / 1 \ \ \
| 12717985827*re|----------------------------------------------------------------------------| | 12717985827*im|----------------------------------------------------------------------------| / / __________________________\\ / / __________________________\\| / / __________________________\\ / / __________________________\\| | 12717985827*re|----------------------------------------------------------------------------| | 12717985827*im|----------------------------------------------------------------------------| / / __________________________\\ / / __________________________\\| / / __________________________\\ / / __________________________\\|
| | _______________________________________________________| | | _______________________________________________________| | |416*\/ 613515980301631184256106 || | |416*\/ 613515980301631184256106 ||| | |416*\/ 613515980301631184256106 || | |416*\/ 613515980301631184256106 ||| | | _______________________________________________________| | | _______________________________________________________| | |416*\/ 613515980301631184256106 || | |416*\/ 613515980301631184256106 ||| | |416*\/ 613515980301631184256106 || | |416*\/ 613515980301631184256106 ||| / _______________________________________________________\
| |/ ___\ / __________________________ | | |/ ___\ / __________________________ | |atan|--------------------------------|| |atan|--------------------------------||| |atan|--------------------------------|| |atan|--------------------------------||| | |/ ___\ / __________________________ | | |/ ___\ / __________________________ | |atan|--------------------------------|| |atan|--------------------------------||| |atan|--------------------------------|| |atan|--------------------------------||| | / __________________________ |
| || 1 I*\/ 3 | / 36209686530556791 27*I*\/ 613515980301631184256106 | | || 1 I*\/ 3 | / 36209686530556791 27*I*\/ 613515980301631184256106 | ____________ | \ 1341099501131733 /| _____________ | \ 1341099501131733 /|| _____________ | \ 1341099501131733 /| ____________ | \ 1341099501131733 /|| | || 1 I*\/ 3 | / 36209686530556791 27*I*\/ 613515980301631184256106 | | || 1 I*\/ 3 | / 36209686530556791 27*I*\/ 613515980301631184256106 | _____________ | \ 1341099501131733 /| ____________ | \ 1341099501131733 /|| ____________ | \ 1341099501131733 /| _____________ | \ 1341099501131733 /|| | / 36209686530556791 27*I*\/ 613515980301631184256106 |
| ||- - - -------|*3 / ----------------- + --------------------------------- | | ||- - - -------|*3 / ----------------- + --------------------------------- | \/ 4239328609 *sin|--------------------------------------| \/ 12717985827 *cos|--------------------------------------|| \/ 12717985827 *sin|--------------------------------------| \/ 4239328609 *cos|--------------------------------------|| | ||- - + -------|*3 / ----------------- + --------------------------------- | | ||- - + -------|*3 / ----------------- + --------------------------------- | \/ 12717985827 *cos|--------------------------------------| \/ 4239328609 *sin|--------------------------------------|| \/ 4239328609 *cos|--------------------------------------| \/ 12717985827 *sin|--------------------------------------|| | 3 / ----------------- + --------------------------------- |
| 11581 \\ 2 2 / \/ 5624320000 13520000 / | \\ 2 2 / \/ 5624320000 13520000 / \ 3 / \ 3 /| \ 3 / \ 3 /| | 11581 \\ 2 2 / \/ 5624320000 13520000 / | \\ 2 2 / \/ 5624320000 13520000 / \ 3 / \ 3 /| \ 3 / \ 3 /| | 11581 12717985827 \/ 5624320000 13520000 |
|- ----- - -------------------------------------------------------------------------------------------- + I*|- -------------------------------------------------------------------------------------------- + ---------------------------------------------------------- + -----------------------------------------------------------| - ----------------------------------------------------------- + ----------------------------------------------------------|*|- ----- - -------------------------------------------------------------------------------------------- + I*|- -------------------------------------------------------------------------------------------- - ----------------------------------------------------------- + ----------------------------------------------------------| + ---------------------------------------------------------- + -----------------------------------------------------------|*|- ----- - -------------------------------------------------------------------- - ------------------------------------------------------------|
\ 208 1081600 \ 1081600 2080 2080 / 2080 2080 / \ 208 1081600 \ 1081600 2080 2080 / 2080 2080 / | 208 _______________________________________________________ 3 |
| / __________________________ |
| / 36209686530556791 27*I*\/ 613515980301631184256106 |
| 1081600*3 / ----------------- + --------------------------------- |
\ \/ 5624320000 13520000 /
$$\left(- \frac{11581}{208} - \frac{\sqrt{12717985827} \sin{\left(\frac{\operatorname{atan}{\left(\frac{416 \sqrt{613515980301631184256106}}{1341099501131733} \right)}}{3} \right)}}{2080} - \frac{12717985827 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{36209686530556791}{5624320000} + \frac{27 \sqrt{613515980301631184256106} i}{13520000}}}\right)}}{1081600} + \frac{\sqrt{4239328609} \cos{\left(\frac{\operatorname{atan}{\left(\frac{416 \sqrt{613515980301631184256106}}{1341099501131733} \right)}}{3} \right)}}{2080} + i \left(- \frac{12717985827 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{36209686530556791}{5624320000} + \frac{27 \sqrt{613515980301631184256106} i}{13520000}}}\right)}}{1081600} + \frac{\sqrt{4239328609} \sin{\left(\frac{\operatorname{atan}{\left(\frac{416 \sqrt{613515980301631184256106}}{1341099501131733} \right)}}{3} \right)}}{2080} + \frac{\sqrt{12717985827} \cos{\left(\frac{\operatorname{atan}{\left(\frac{416 \sqrt{613515980301631184256106}}{1341099501131733} \right)}}{3} \right)}}{2080}\right)\right) \left(- \frac{11581}{208} + \frac{\sqrt{12717985827} \sin{\left(\frac{\operatorname{atan}{\left(\frac{416 \sqrt{613515980301631184256106}}{1341099501131733} \right)}}{3} \right)}}{2080} + \frac{\sqrt{4239328609} \cos{\left(\frac{\operatorname{atan}{\left(\frac{416 \sqrt{613515980301631184256106}}{1341099501131733} \right)}}{3} \right)}}{2080} - \frac{12717985827 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{36209686530556791}{5624320000} + \frac{27 \sqrt{613515980301631184256106} i}{13520000}}}\right)}}{1081600} + i \left(- \frac{\sqrt{12717985827} \cos{\left(\frac{\operatorname{atan}{\left(\frac{416 \sqrt{613515980301631184256106}}{1341099501131733} \right)}}{3} \right)}}{2080} + \frac{\sqrt{4239328609} \sin{\left(\frac{\operatorname{atan}{\left(\frac{416 \sqrt{613515980301631184256106}}{1341099501131733} \right)}}{3} \right)}}{2080} - \frac{12717985827 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{36209686530556791}{5624320000} + \frac{27 \sqrt{613515980301631184256106} i}{13520000}}}\right)}}{1081600}\right)\right) \left(- \frac{11581}{208} - \frac{\sqrt[3]{\frac{36209686530556791}{5624320000} + \frac{27 \sqrt{613515980301631184256106} i}{13520000}}}{3} - \frac{12717985827}{1081600 \sqrt[3]{\frac{36209686530556791}{5624320000} + \frac{27 \sqrt{613515980301631184256106} i}{13520000}}}\right)$$
=
/ / / __________________________\\ / / __________________________\\\
| | |416*\/ 613515980301631184256106 || | |416*\/ 613515980301631184256106 |||
/ _______________________________________________________ / _______________________________________________________\\ | |2*atan|--------------------------------|| |atan|--------------------------------|||
| 3 ___ 3 / __________________________ | 2/3 3 / __________________________ || | | \ 1341099501131733 /| ____________ | \ 1341099501131733 /||
\21196643045*\/ 5 + \/ 1341099501131733 + 416*I*\/ 613515980301631184256106 *\289525 + 5 *\/ 1341099501131733 + 416*I*\/ 613515980301631184256106 //*|886339584 - 8478657218*cos|----------------------------------------| + 115810*\/ 4239328609 *cos|--------------------------------------||
\ \ 3 / \ 3 //
------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
_______________________________________________________
3 / __________________________
5624320000*\/ 1341099501131733 + 416*I*\/ 613515980301631184256106
$$\frac{\left(21196643045 \sqrt[3]{5} + \left(289525 + 5^{\frac{2}{3}} \sqrt[3]{1341099501131733 + 416 \sqrt{613515980301631184256106} i}\right) \sqrt[3]{1341099501131733 + 416 \sqrt{613515980301631184256106} i}\right) \left(- 8478657218 \cos{\left(\frac{2 \operatorname{atan}{\left(\frac{416 \sqrt{613515980301631184256106}}{1341099501131733} \right)}}{3} \right)} + 886339584 + 115810 \sqrt{4239328609} \cos{\left(\frac{\operatorname{atan}{\left(\frac{416 \sqrt{613515980301631184256106}}{1341099501131733} \right)}}{3} \right)}\right)}{5624320000 \sqrt[3]{1341099501131733 + 416 \sqrt{613515980301631184256106} i}}$$
(21196643045*5^(1/3) + (1341099501131733 + 416*i*sqrt(613515980301631184256106))^(1/3)*(289525 + 5^(2/3)*(1341099501131733 + 416*i*sqrt(613515980301631184256106))^(1/3)))*(886339584 - 8478657218*cos(2*atan(416*sqrt(613515980301631184256106)/1341099501131733)/3) + 115810*sqrt(4239328609)*cos(atan(416*sqrt(613515980301631184256106)/1341099501131733)/3))/(5624320000*(1341099501131733 + 416*i*sqrt(613515980301631184256106))^(1/3))
Respuesta numérica
[src]
x1 = 15.3366540603538
x2 = -1.87561198864296
x3 = -180.494695917865
x3 = -180.494695917865