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Ecuación x^2=-3
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Ecuación 9-7(x+3)=5-6x
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Ecuación 3^x=-1
- Expresar {x} en función de y en la ecuación:
- 4*x+8*y=7
- -1*x+4*y=-10
- -14*x-8*y=20
- 11*x-2*y=-9
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Expresiones idénticas
- ((novecientos cincuenta y tres / doscientos)*x^ dos + setenta y tres *x+(mil trescientos noventa y ocho / cinco))*((quinientos once / cien)+(sesenta y siete / cien)*x)+(tres mil cuarenta y uno / cincuenta)*(ciento nueve / veinticinco)-((mil doscientos cincuenta y tres / ciento veinticinco)*x^ tres +(veintiséis mil novecientos noventa y siete / doscientos)*x^ dos +(trescientos tres mil cuatrocientos trece / mil)*x)= cero
- ((953 dividir por 200) multiplicar por x al cuadrado más 73 multiplicar por x más (1398 dividir por 5)) multiplicar por ((511 dividir por 100) más (67 dividir por 100) multiplicar por x) más (3041 dividir por 50) multiplicar por (109 dividir por 25) menos ((1253 dividir por 125) multiplicar por x al cubo más (26997 dividir por 200) multiplicar por x al cuadrado más (303413 dividir por 1000) multiplicar por x) es igual a 0
- ((novecientos cincuenta y tres dividir por doscientos) multiplicar por x en el grado dos más setenta y tres multiplicar por x más (mil trescientos noventa y ocho dividir por cinco)) multiplicar por ((quinientos once dividir por cien) más (sesenta y siete dividir por cien) multiplicar por x) más (tres mil cuarenta y uno dividir por cincuenta) multiplicar por (ciento nueve dividir por veinticinco) menos ((mil doscientos cincuenta y tres dividir por ciento veinticinco) multiplicar por x en el grado tres más (veintiséis mil novecientos noventa y siete dividir por doscientos) multiplicar por x en el grado dos más (trescientos tres mil cuatrocientos trece dividir por mil) multiplicar por x) es igual a cero
- ((953/200)*x2+73*x+(1398/5))*((511/100)+(67/100)*x)+(3041/50)*(109/25)-((1253/125)*x3+(26997/200)*x2+(303413/1000)*x)=0
- 953/200*x2+73*x+1398/5*511/100+67/100*x+3041/50*109/25-1253/125*x3+26997/200*x2+303413/1000*x=0
- ((953/200)*x²+73*x+(1398/5))*((511/100)+(67/100)*x)+(3041/50)*(109/25)-((1253/125)*x³+(26997/200)*x²+(303413/1000)*x)=0
- ((953/200)*x en el grado 2+73*x+(1398/5))*((511/100)+(67/100)*x)+(3041/50)*(109/25)-((1253/125)*x en el grado 3+(26997/200)*x en el grado 2+(303413/1000)*x)=0
- ((953/200)x^2+73x+(1398/5))((511/100)+(67/100)x)+(3041/50)(109/25)-((1253/125)x^3+(26997/200)x^2+(303413/1000)x)=0
- ((953/200)x2+73x+(1398/5))((511/100)+(67/100)x)+(3041/50)(109/25)-((1253/125)x3+(26997/200)x2+(303413/1000)x)=0
- 953/200x2+73x+1398/5511/100+67/100x+3041/50109/25-1253/125x3+26997/200x2+303413/1000x=0
- 953/200x^2+73x+1398/5511/100+67/100x+3041/50109/25-1253/125x^3+26997/200x^2+303413/1000x=0
- ((953/200)*x^2+73*x+(1398/5))*((511/100)+(67/100)*x)+(3041/50)*(109/25)-((1253/125)*x^3+(26997/200)*x^2+(303413/1000)*x)=O
- ((953 dividir por 200)*x^2+73*x+(1398 dividir por 5))*((511 dividir por 100)+(67 dividir por 100)*x)+(3041 dividir por 50)*(109 dividir por 25)-((1253 dividir por 125)*x^3+(26997 dividir por 200)*x^2+(303413 dividir por 1000)*x)=0
-
Expresiones semejantes
- ((953/200)*x^2+73*x+(1398/5))*((511/100)+(67/100)*x)-(3041/50)*(109/25)-((1253/125)*x^3+(26997/200)*x^2+(303413/1000)*x)=0
- ((953/200)*x^2+73*x+(1398/5))*((511/100)+(67/100)*x)+(3041/50)*(109/25)-((1253/125)*x^3-(26997/200)*x^2+(303413/1000)*x)=0
- ((953/200)*x^2+73*x+(1398/5))*((511/100)-(67/100)*x)+(3041/50)*(109/25)-((1253/125)*x^3+(26997/200)*x^2+(303413/1000)*x)=0
- ((953/200)*x^2+73*x+(1398/5))*((511/100)+(67/100)*x)+(3041/50)*(109/25)-((1253/125)*x^3+(26997/200)*x^2-(303413/1000)*x)=0
- ((953/200)*x^2-73*x+(1398/5))*((511/100)+(67/100)*x)+(3041/50)*(109/25)-((1253/125)*x^3+(26997/200)*x^2+(303413/1000)*x)=0
- ((953/200)*x^2+73*x-(1398/5))*((511/100)+(67/100)*x)+(3041/50)*(109/25)-((1253/125)*x^3+(26997/200)*x^2+(303413/1000)*x)=0
- ((953/200)*x^2+73*x+(1398/5))*((511/100)+(67/100)*x)+(3041/50)*(109/25)+((1253/125)*x^3+(26997/200)*x^2+(303413/1000)*x)=0
((953/200)*x^2+73*x+(1398/5))*((511/100)+(67/100)*x)+(3041/50)*(109/25)-((1253/125)*x^3+(26997/200)*x^2+(303413/1000)*x)=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
/ 2 \ 3 2 |953*x 1398| /511 67*x\ 3041*109 1253*x 26997*x 303413*x |------ + 73*x + ----|*|--- + ----| + -------- + - ------- - -------- - -------- = 0 \ 200 5 / \100 100 / 50*25 125 200 1000
$$\left(- \frac{303413 x}{1000} + \left(- \frac{1253 x^{3}}{125} - \frac{26997 x^{2}}{200}\right)\right) + \left(\left(\frac{67 x}{100} + \frac{511}{100}\right) \left(\left(\frac{953 x^{2}}{200} + 73 x\right) + \frac{1398}{5}\right) + \frac{109 \cdot 3041}{25 \cdot 50}\right) = 0$$
Respuesta rápida
[src]
/ 1 \ / / 1 \ \
3630433318549*re|-------------------------------------------------------------------------------| |3630433318549*im|-------------------------------------------------------------------------------| / / ____________________________\\ / / ____________________________\\| / / ____________________________\\ / / ____________________________\\
| __________________________________________________________| | | __________________________________________________________| | |819774*\/ 59900738843216976609555843 || | |819774*\/ 59900738843216976609555843 ||| | |819774*\/ 59900738843216976609555843 || | |819774*\/ 59900738843216976609555843 ||
|/ ___\ / ____________________________ | | |/ ___\ / ____________________________ | |atan|-------------------------------------|| |atan|-------------------------------------||| |atan|-------------------------------------|| |atan|-------------------------------------||
|| 1 I*\/ 3 | / 2755761270970764241 2*I*\/ 59900738843216976609555843 | | || 1 I*\/ 3 | / 2755761270970764241 2*I*\/ 59900738843216976609555843 | _______________ | \ 2755761270970764241 /| ________________ | \ 2755761270970764241 /|| _______________ | \ 2755761270970764241 /| ________________ | \ 2755761270970764241 /|
||- - - -------|*3 / ------------------- + ---------------------------------- | | ||- - - -------|*3 / ------------------- + ---------------------------------- | \/ 3630433318549 *sin|-------------------------------------------| \/ 10891299955647 *cos|-------------------------------------------|| \/ 3630433318549 *cos|-------------------------------------------| \/ 10891299955647 *sin|-------------------------------------------|
1234517 \\ 2 2 / \/ 68864029804427103 168007352769 / | \\ 2 2 / \/ 68864029804427103 168007352769 / \ 3 / \ 3 /| \ 3 / \ 3 /
x1 = - ------- + ------------------------------------------------------------------------------------------------- + I*|------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------ - -------------------------------------------------------------------| - ------------------------------------------------------------------ + -------------------------------------------------------------------
409887 168007352769 \ 168007352769 819774 819774 / 819774 819774
$$x_{1} = - \frac{1234517}{409887} - \frac{\sqrt{3630433318549} \cos{\left(\frac{\operatorname{atan}{\left(\frac{819774 \sqrt{59900738843216976609555843}}{2755761270970764241} \right)}}{3} \right)}}{819774} + \frac{3630433318549 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{2755761270970764241}{68864029804427103} + \frac{2 \sqrt{59900738843216976609555843} i}{168007352769}}}\right)}}{168007352769} + \frac{\sqrt{10891299955647} \sin{\left(\frac{\operatorname{atan}{\left(\frac{819774 \sqrt{59900738843216976609555843}}{2755761270970764241} \right)}}{3} \right)}}{819774} + i \left(- \frac{\sqrt{10891299955647} \cos{\left(\frac{\operatorname{atan}{\left(\frac{819774 \sqrt{59900738843216976609555843}}{2755761270970764241} \right)}}{3} \right)}}{819774} - \frac{\sqrt{3630433318549} \sin{\left(\frac{\operatorname{atan}{\left(\frac{819774 \sqrt{59900738843216976609555843}}{2755761270970764241} \right)}}{3} \right)}}{819774} + \frac{3630433318549 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{2755761270970764241}{68864029804427103} + \frac{2 \sqrt{59900738843216976609555843} i}{168007352769}}}\right)}}{168007352769}\right)$$
/ 1 \ / / 1 \ \
3630433318549*re|-------------------------------------------------------------------------------| |3630433318549*im|-------------------------------------------------------------------------------| / / ____________________________\\ / / ____________________________\\| / / ____________________________\\ / / ____________________________\\
| __________________________________________________________| | | __________________________________________________________| | |819774*\/ 59900738843216976609555843 || | |819774*\/ 59900738843216976609555843 ||| | |819774*\/ 59900738843216976609555843 || | |819774*\/ 59900738843216976609555843 ||
|/ ___\ / ____________________________ | | |/ ___\ / ____________________________ | |atan|-------------------------------------|| |atan|-------------------------------------||| |atan|-------------------------------------|| |atan|-------------------------------------||
|| 1 I*\/ 3 | / 2755761270970764241 2*I*\/ 59900738843216976609555843 | | || 1 I*\/ 3 | / 2755761270970764241 2*I*\/ 59900738843216976609555843 | _______________ | \ 2755761270970764241 /| ________________ | \ 2755761270970764241 /|| _______________ | \ 2755761270970764241 /| ________________ | \ 2755761270970764241 /|
||- - + -------|*3 / ------------------- + ---------------------------------- | | ||- - + -------|*3 / ------------------- + ---------------------------------- | \/ 3630433318549 *sin|-------------------------------------------| \/ 10891299955647 *cos|-------------------------------------------|| \/ 3630433318549 *cos|-------------------------------------------| \/ 10891299955647 *sin|-------------------------------------------|
1234517 \\ 2 2 / \/ 68864029804427103 168007352769 / | \\ 2 2 / \/ 68864029804427103 168007352769 / \ 3 / \ 3 /| \ 3 / \ 3 /
x2 = - ------- + ------------------------------------------------------------------------------------------------- + I*|------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------ + -------------------------------------------------------------------| - ------------------------------------------------------------------ - -------------------------------------------------------------------
409887 168007352769 \ 168007352769 819774 819774 / 819774 819774
$$x_{2} = \frac{3630433318549 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{2755761270970764241}{68864029804427103} + \frac{2 \sqrt{59900738843216976609555843} i}{168007352769}}}\right)}}{168007352769} - \frac{1234517}{409887} - \frac{\sqrt{3630433318549} \cos{\left(\frac{\operatorname{atan}{\left(\frac{819774 \sqrt{59900738843216976609555843}}{2755761270970764241} \right)}}{3} \right)}}{819774} - \frac{\sqrt{10891299955647} \sin{\left(\frac{\operatorname{atan}{\left(\frac{819774 \sqrt{59900738843216976609555843}}{2755761270970764241} \right)}}{3} \right)}}{819774} + i \left(\frac{3630433318549 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{2755761270970764241}{68864029804427103} + \frac{2 \sqrt{59900738843216976609555843} i}{168007352769}}}\right)}}{168007352769} - \frac{\sqrt{3630433318549} \sin{\left(\frac{\operatorname{atan}{\left(\frac{819774 \sqrt{59900738843216976609555843}}{2755761270970764241} \right)}}{3} \right)}}{819774} + \frac{\sqrt{10891299955647} \cos{\left(\frac{\operatorname{atan}{\left(\frac{819774 \sqrt{59900738843216976609555843}}{2755761270970764241} \right)}}{3} \right)}}{819774}\right)$$
__________________________________________________________
/ ____________________________
1234517 / 2755761270970764241 2*I*\/ 59900738843216976609555843 3630433318549
x3 = - ------- + 3 / ------------------- + ---------------------------------- + ----------------------------------------------------------------------------
409887 \/ 68864029804427103 168007352769 __________________________________________________________
/ ____________________________
/ 2755761270970764241 2*I*\/ 59900738843216976609555843
168007352769*3 / ------------------- + ----------------------------------
\/ 68864029804427103 168007352769
$$x_{3} = - \frac{1234517}{409887} + \frac{3630433318549}{168007352769 \sqrt[3]{\frac{2755761270970764241}{68864029804427103} + \frac{2 \sqrt{59900738843216976609555843} i}{168007352769}}} + \sqrt[3]{\frac{2755761270970764241}{68864029804427103} + \frac{2 \sqrt{59900738843216976609555843} i}{168007352769}}$$
x3 = -1234517/409887 + 3630433318549/(168007352769*(2755761270970764241/68864029804427103 + 2*sqrt(59900738843216976609555843)*i/168007352769)^(1/3)) + (2755761270970764241/68864029804427103 + 2*sqrt(59900738843216976609555843)*i/168007352769)^(1/3)
Suma y producto de raíces
[src]
suma
/ 1 \ / / 1 \ \ / 1 \ / / 1 \ \
3630433318549*re|-------------------------------------------------------------------------------| |3630433318549*im|-------------------------------------------------------------------------------| / / ____________________________\\ / / ____________________________\\| / / ____________________________\\ / / ____________________________\\ 3630433318549*re|-------------------------------------------------------------------------------| |3630433318549*im|-------------------------------------------------------------------------------| / / ____________________________\\ / / ____________________________\\| / / ____________________________\\ / / ____________________________\\
| __________________________________________________________| | | __________________________________________________________| | |819774*\/ 59900738843216976609555843 || | |819774*\/ 59900738843216976609555843 ||| | |819774*\/ 59900738843216976609555843 || | |819774*\/ 59900738843216976609555843 || | __________________________________________________________| | | __________________________________________________________| | |819774*\/ 59900738843216976609555843 || | |819774*\/ 59900738843216976609555843 ||| | |819774*\/ 59900738843216976609555843 || | |819774*\/ 59900738843216976609555843 ||
|/ ___\ / ____________________________ | | |/ ___\ / ____________________________ | |atan|-------------------------------------|| |atan|-------------------------------------||| |atan|-------------------------------------|| |atan|-------------------------------------|| |/ ___\ / ____________________________ | | |/ ___\ / ____________________________ | |atan|-------------------------------------|| |atan|-------------------------------------||| |atan|-------------------------------------|| |atan|-------------------------------------||
|| 1 I*\/ 3 | / 2755761270970764241 2*I*\/ 59900738843216976609555843 | | || 1 I*\/ 3 | / 2755761270970764241 2*I*\/ 59900738843216976609555843 | _______________ | \ 2755761270970764241 /| ________________ | \ 2755761270970764241 /|| _______________ | \ 2755761270970764241 /| ________________ | \ 2755761270970764241 /| || 1 I*\/ 3 | / 2755761270970764241 2*I*\/ 59900738843216976609555843 | | || 1 I*\/ 3 | / 2755761270970764241 2*I*\/ 59900738843216976609555843 | _______________ | \ 2755761270970764241 /| ________________ | \ 2755761270970764241 /|| _______________ | \ 2755761270970764241 /| ________________ | \ 2755761270970764241 /| __________________________________________________________
||- - - -------|*3 / ------------------- + ---------------------------------- | | ||- - - -------|*3 / ------------------- + ---------------------------------- | \/ 3630433318549 *sin|-------------------------------------------| \/ 10891299955647 *cos|-------------------------------------------|| \/ 3630433318549 *cos|-------------------------------------------| \/ 10891299955647 *sin|-------------------------------------------| ||- - + -------|*3 / ------------------- + ---------------------------------- | | ||- - + -------|*3 / ------------------- + ---------------------------------- | \/ 3630433318549 *sin|-------------------------------------------| \/ 10891299955647 *cos|-------------------------------------------|| \/ 3630433318549 *cos|-------------------------------------------| \/ 10891299955647 *sin|-------------------------------------------| / ____________________________
1234517 \\ 2 2 / \/ 68864029804427103 168007352769 / | \\ 2 2 / \/ 68864029804427103 168007352769 / \ 3 / \ 3 /| \ 3 / \ 3 / 1234517 \\ 2 2 / \/ 68864029804427103 168007352769 / | \\ 2 2 / \/ 68864029804427103 168007352769 / \ 3 / \ 3 /| \ 3 / \ 3 / 1234517 / 2755761270970764241 2*I*\/ 59900738843216976609555843 3630433318549
- ------- + ------------------------------------------------------------------------------------------------- + I*|------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------ - -------------------------------------------------------------------| - ------------------------------------------------------------------ + ------------------------------------------------------------------- + - ------- + ------------------------------------------------------------------------------------------------- + I*|------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------ + -------------------------------------------------------------------| - ------------------------------------------------------------------ - ------------------------------------------------------------------- + - ------- + 3 / ------------------- + ---------------------------------- + ----------------------------------------------------------------------------
409887 168007352769 \ 168007352769 819774 819774 / 819774 819774 409887 168007352769 \ 168007352769 819774 819774 / 819774 819774 409887 \/ 68864029804427103 168007352769 __________________________________________________________
/ ____________________________
/ 2755761270970764241 2*I*\/ 59900738843216976609555843
168007352769*3 / ------------------- + ----------------------------------
\/ 68864029804427103 168007352769
$$\left(- \frac{1234517}{409887} + \frac{3630433318549}{168007352769 \sqrt[3]{\frac{2755761270970764241}{68864029804427103} + \frac{2 \sqrt{59900738843216976609555843} i}{168007352769}}} + \sqrt[3]{\frac{2755761270970764241}{68864029804427103} + \frac{2 \sqrt{59900738843216976609555843} i}{168007352769}}\right) + \left(\left(\frac{3630433318549 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{2755761270970764241}{68864029804427103} + \frac{2 \sqrt{59900738843216976609555843} i}{168007352769}}}\right)}}{168007352769} - \frac{1234517}{409887} - \frac{\sqrt{3630433318549} \cos{\left(\frac{\operatorname{atan}{\left(\frac{819774 \sqrt{59900738843216976609555843}}{2755761270970764241} \right)}}{3} \right)}}{819774} - \frac{\sqrt{10891299955647} \sin{\left(\frac{\operatorname{atan}{\left(\frac{819774 \sqrt{59900738843216976609555843}}{2755761270970764241} \right)}}{3} \right)}}{819774} + i \left(\frac{3630433318549 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{2755761270970764241}{68864029804427103} + \frac{2 \sqrt{59900738843216976609555843} i}{168007352769}}}\right)}}{168007352769} - \frac{\sqrt{3630433318549} \sin{\left(\frac{\operatorname{atan}{\left(\frac{819774 \sqrt{59900738843216976609555843}}{2755761270970764241} \right)}}{3} \right)}}{819774} + \frac{\sqrt{10891299955647} \cos{\left(\frac{\operatorname{atan}{\left(\frac{819774 \sqrt{59900738843216976609555843}}{2755761270970764241} \right)}}{3} \right)}}{819774}\right)\right) + \left(- \frac{1234517}{409887} - \frac{\sqrt{3630433318549} \cos{\left(\frac{\operatorname{atan}{\left(\frac{819774 \sqrt{59900738843216976609555843}}{2755761270970764241} \right)}}{3} \right)}}{819774} + \frac{3630433318549 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{2755761270970764241}{68864029804427103} + \frac{2 \sqrt{59900738843216976609555843} i}{168007352769}}}\right)}}{168007352769} + \frac{\sqrt{10891299955647} \sin{\left(\frac{\operatorname{atan}{\left(\frac{819774 \sqrt{59900738843216976609555843}}{2755761270970764241} \right)}}{3} \right)}}{819774} + i \left(- \frac{\sqrt{10891299955647} \cos{\left(\frac{\operatorname{atan}{\left(\frac{819774 \sqrt{59900738843216976609555843}}{2755761270970764241} \right)}}{3} \right)}}{819774} - \frac{\sqrt{3630433318549} \sin{\left(\frac{\operatorname{atan}{\left(\frac{819774 \sqrt{59900738843216976609555843}}{2755761270970764241} \right)}}{3} \right)}}{819774} + \frac{3630433318549 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{2755761270970764241}{68864029804427103} + \frac{2 \sqrt{59900738843216976609555843} i}{168007352769}}}\right)}}{168007352769}\right)\right)\right)$$
=
/ 1 \ / 1 \ / / 1 \ \ / / 1 \ \
3630433318549*re|-------------------------------------------------------------------------------| 3630433318549*re|-------------------------------------------------------------------------------| |3630433318549*im|-------------------------------------------------------------------------------| / / ____________________________\\ / / ____________________________\\| |3630433318549*im|-------------------------------------------------------------------------------| / / ____________________________\\ / / ____________________________\\| / / ____________________________\\
| __________________________________________________________| | __________________________________________________________| | | __________________________________________________________| | |819774*\/ 59900738843216976609555843 || | |819774*\/ 59900738843216976609555843 ||| | | __________________________________________________________| | |819774*\/ 59900738843216976609555843 || | |819774*\/ 59900738843216976609555843 ||| | |819774*\/ 59900738843216976609555843 ||
|/ ___\ / ____________________________ | |/ ___\ / ____________________________ | | |/ ___\ / ____________________________ | |atan|-------------------------------------|| |atan|-------------------------------------||| | |/ ___\ / ____________________________ | |atan|-------------------------------------|| |atan|-------------------------------------||| |atan|-------------------------------------||
__________________________________________________________ || 1 I*\/ 3 | / 2755761270970764241 2*I*\/ 59900738843216976609555843 | || 1 I*\/ 3 | / 2755761270970764241 2*I*\/ 59900738843216976609555843 | | || 1 I*\/ 3 | / 2755761270970764241 2*I*\/ 59900738843216976609555843 | _______________ | \ 2755761270970764241 /| ________________ | \ 2755761270970764241 /|| | || 1 I*\/ 3 | / 2755761270970764241 2*I*\/ 59900738843216976609555843 | _______________ | \ 2755761270970764241 /| ________________ | \ 2755761270970764241 /|| _______________ | \ 2755761270970764241 /|
/ ____________________________ ||- - + -------|*3 / ------------------- + ---------------------------------- | ||- - - -------|*3 / ------------------- + ---------------------------------- | | ||- - + -------|*3 / ------------------- + ---------------------------------- | \/ 3630433318549 *sin|-------------------------------------------| \/ 10891299955647 *cos|-------------------------------------------|| | ||- - - -------|*3 / ------------------- + ---------------------------------- | \/ 3630433318549 *sin|-------------------------------------------| \/ 10891299955647 *cos|-------------------------------------------|| \/ 3630433318549 *cos|-------------------------------------------|
1234517 / 2755761270970764241 2*I*\/ 59900738843216976609555843 3630433318549 \\ 2 2 / \/ 68864029804427103 168007352769 / \\ 2 2 / \/ 68864029804427103 168007352769 / | \\ 2 2 / \/ 68864029804427103 168007352769 / \ 3 / \ 3 /| | \\ 2 2 / \/ 68864029804427103 168007352769 / \ 3 / \ 3 /| \ 3 /
- ------- + 3 / ------------------- + ---------------------------------- + ---------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------- + I*|------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------ + -------------------------------------------------------------------| + I*|------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------ - -------------------------------------------------------------------| - ------------------------------------------------------------------
136629 \/ 68864029804427103 168007352769 __________________________________________________________ 168007352769 168007352769 \ 168007352769 819774 819774 / \ 168007352769 819774 819774 / 409887
/ ____________________________
/ 2755761270970764241 2*I*\/ 59900738843216976609555843
168007352769*3 / ------------------- + ----------------------------------
\/ 68864029804427103 168007352769
$$- \frac{1234517}{136629} - \frac{\sqrt{3630433318549} \cos{\left(\frac{\operatorname{atan}{\left(\frac{819774 \sqrt{59900738843216976609555843}}{2755761270970764241} \right)}}{3} \right)}}{409887} + \frac{3630433318549 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{2755761270970764241}{68864029804427103} + \frac{2 \sqrt{59900738843216976609555843} i}{168007352769}}}\right)}}{168007352769} + \frac{3630433318549 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{2755761270970764241}{68864029804427103} + \frac{2 \sqrt{59900738843216976609555843} i}{168007352769}}}\right)}}{168007352769} + \frac{3630433318549}{168007352769 \sqrt[3]{\frac{2755761270970764241}{68864029804427103} + \frac{2 \sqrt{59900738843216976609555843} i}{168007352769}}} + i \left(- \frac{\sqrt{10891299955647} \cos{\left(\frac{\operatorname{atan}{\left(\frac{819774 \sqrt{59900738843216976609555843}}{2755761270970764241} \right)}}{3} \right)}}{819774} - \frac{\sqrt{3630433318549} \sin{\left(\frac{\operatorname{atan}{\left(\frac{819774 \sqrt{59900738843216976609555843}}{2755761270970764241} \right)}}{3} \right)}}{819774} + \frac{3630433318549 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{2755761270970764241}{68864029804427103} + \frac{2 \sqrt{59900738843216976609555843} i}{168007352769}}}\right)}}{168007352769}\right) + i \left(\frac{3630433318549 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{2755761270970764241}{68864029804427103} + \frac{2 \sqrt{59900738843216976609555843} i}{168007352769}}}\right)}}{168007352769} - \frac{\sqrt{3630433318549} \sin{\left(\frac{\operatorname{atan}{\left(\frac{819774 \sqrt{59900738843216976609555843}}{2755761270970764241} \right)}}{3} \right)}}{819774} + \frac{\sqrt{10891299955647} \cos{\left(\frac{\operatorname{atan}{\left(\frac{819774 \sqrt{59900738843216976609555843}}{2755761270970764241} \right)}}{3} \right)}}{819774}\right) + \sqrt[3]{\frac{2755761270970764241}{68864029804427103} + \frac{2 \sqrt{59900738843216976609555843} i}{168007352769}}$$
producto
/ / 1 \ / / 1 \ \ \ / / 1 \ / / 1 \ \ \
| 3630433318549*re|-------------------------------------------------------------------------------| |3630433318549*im|-------------------------------------------------------------------------------| / / ____________________________\\ / / ____________________________\\| / / ____________________________\\ / / ____________________________\\| | 3630433318549*re|-------------------------------------------------------------------------------| |3630433318549*im|-------------------------------------------------------------------------------| / / ____________________________\\ / / ____________________________\\| / / ____________________________\\ / / ____________________________\\|
| | __________________________________________________________| | | __________________________________________________________| | |819774*\/ 59900738843216976609555843 || | |819774*\/ 59900738843216976609555843 ||| | |819774*\/ 59900738843216976609555843 || | |819774*\/ 59900738843216976609555843 ||| | | __________________________________________________________| | | __________________________________________________________| | |819774*\/ 59900738843216976609555843 || | |819774*\/ 59900738843216976609555843 ||| | |819774*\/ 59900738843216976609555843 || | |819774*\/ 59900738843216976609555843 |||
| |/ ___\ / ____________________________ | | |/ ___\ / ____________________________ | |atan|-------------------------------------|| |atan|-------------------------------------||| |atan|-------------------------------------|| |atan|-------------------------------------||| | |/ ___\ / ____________________________ | | |/ ___\ / ____________________________ | |atan|-------------------------------------|| |atan|-------------------------------------||| |atan|-------------------------------------|| |atan|-------------------------------------|||
| || 1 I*\/ 3 | / 2755761270970764241 2*I*\/ 59900738843216976609555843 | | || 1 I*\/ 3 | / 2755761270970764241 2*I*\/ 59900738843216976609555843 | _______________ | \ 2755761270970764241 /| ________________ | \ 2755761270970764241 /|| _______________ | \ 2755761270970764241 /| ________________ | \ 2755761270970764241 /|| | || 1 I*\/ 3 | / 2755761270970764241 2*I*\/ 59900738843216976609555843 | | || 1 I*\/ 3 | / 2755761270970764241 2*I*\/ 59900738843216976609555843 | _______________ | \ 2755761270970764241 /| ________________ | \ 2755761270970764241 /|| _______________ | \ 2755761270970764241 /| ________________ | \ 2755761270970764241 /|| / __________________________________________________________ \
| ||- - - -------|*3 / ------------------- + ---------------------------------- | | ||- - - -------|*3 / ------------------- + ---------------------------------- | \/ 3630433318549 *sin|-------------------------------------------| \/ 10891299955647 *cos|-------------------------------------------|| \/ 3630433318549 *cos|-------------------------------------------| \/ 10891299955647 *sin|-------------------------------------------|| | ||- - + -------|*3 / ------------------- + ---------------------------------- | | ||- - + -------|*3 / ------------------- + ---------------------------------- | \/ 3630433318549 *sin|-------------------------------------------| \/ 10891299955647 *cos|-------------------------------------------|| \/ 3630433318549 *cos|-------------------------------------------| \/ 10891299955647 *sin|-------------------------------------------|| | / ____________________________ |
| 1234517 \\ 2 2 / \/ 68864029804427103 168007352769 / | \\ 2 2 / \/ 68864029804427103 168007352769 / \ 3 / \ 3 /| \ 3 / \ 3 /| | 1234517 \\ 2 2 / \/ 68864029804427103 168007352769 / | \\ 2 2 / \/ 68864029804427103 168007352769 / \ 3 / \ 3 /| \ 3 / \ 3 /| | 1234517 / 2755761270970764241 2*I*\/ 59900738843216976609555843 3630433318549 |
|- ------- + ------------------------------------------------------------------------------------------------- + I*|------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------ - -------------------------------------------------------------------| - ------------------------------------------------------------------ + -------------------------------------------------------------------|*|- ------- + ------------------------------------------------------------------------------------------------- + I*|------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------ + -------------------------------------------------------------------| - ------------------------------------------------------------------ - -------------------------------------------------------------------|*|- ------- + 3 / ------------------- + ---------------------------------- + ----------------------------------------------------------------------------|
\ 409887 168007352769 \ 168007352769 819774 819774 / 819774 819774 / \ 409887 168007352769 \ 168007352769 819774 819774 / 819774 819774 / | 409887 \/ 68864029804427103 168007352769 __________________________________________________________|
| / ____________________________ |
| / 2755761270970764241 2*I*\/ 59900738843216976609555843 |
| 168007352769*3 / ------------------- + ---------------------------------- |
\ \/ 68864029804427103 168007352769 /
$$\left(- \frac{1234517}{409887} - \frac{\sqrt{3630433318549} \cos{\left(\frac{\operatorname{atan}{\left(\frac{819774 \sqrt{59900738843216976609555843}}{2755761270970764241} \right)}}{3} \right)}}{819774} + \frac{3630433318549 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{2755761270970764241}{68864029804427103} + \frac{2 \sqrt{59900738843216976609555843} i}{168007352769}}}\right)}}{168007352769} + \frac{\sqrt{10891299955647} \sin{\left(\frac{\operatorname{atan}{\left(\frac{819774 \sqrt{59900738843216976609555843}}{2755761270970764241} \right)}}{3} \right)}}{819774} + i \left(- \frac{\sqrt{10891299955647} \cos{\left(\frac{\operatorname{atan}{\left(\frac{819774 \sqrt{59900738843216976609555843}}{2755761270970764241} \right)}}{3} \right)}}{819774} - \frac{\sqrt{3630433318549} \sin{\left(\frac{\operatorname{atan}{\left(\frac{819774 \sqrt{59900738843216976609555843}}{2755761270970764241} \right)}}{3} \right)}}{819774} + \frac{3630433318549 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{2755761270970764241}{68864029804427103} + \frac{2 \sqrt{59900738843216976609555843} i}{168007352769}}}\right)}}{168007352769}\right)\right) \left(\frac{3630433318549 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{2755761270970764241}{68864029804427103} + \frac{2 \sqrt{59900738843216976609555843} i}{168007352769}}}\right)}}{168007352769} - \frac{1234517}{409887} - \frac{\sqrt{3630433318549} \cos{\left(\frac{\operatorname{atan}{\left(\frac{819774 \sqrt{59900738843216976609555843}}{2755761270970764241} \right)}}{3} \right)}}{819774} - \frac{\sqrt{10891299955647} \sin{\left(\frac{\operatorname{atan}{\left(\frac{819774 \sqrt{59900738843216976609555843}}{2755761270970764241} \right)}}{3} \right)}}{819774} + i \left(\frac{3630433318549 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{2755761270970764241}{68864029804427103} + \frac{2 \sqrt{59900738843216976609555843} i}{168007352769}}}\right)}}{168007352769} - \frac{\sqrt{3630433318549} \sin{\left(\frac{\operatorname{atan}{\left(\frac{819774 \sqrt{59900738843216976609555843}}{2755761270970764241} \right)}}{3} \right)}}{819774} + \frac{\sqrt{10891299955647} \cos{\left(\frac{\operatorname{atan}{\left(\frac{819774 \sqrt{59900738843216976609555843}}{2755761270970764241} \right)}}{3} \right)}}{819774}\right)\right) \left(- \frac{1234517}{409887} + \frac{3630433318549}{168007352769 \sqrt[3]{\frac{2755761270970764241}{68864029804427103} + \frac{2 \sqrt{59900738843216976609555843} i}{168007352769}}} + \sqrt[3]{\frac{2755761270970764241}{68864029804427103} + \frac{2 \sqrt{59900738843216976609555843} i}{168007352769}}\right)$$
=
/ / / ____________________________\\ / / ____________________________\\\
| | |819774*\/ 59900738843216976609555843 || | |819774*\/ 59900738843216976609555843 |||
/ _______________________________________________________________ / _______________________________________________________________\\ | |2*atan|-------------------------------------|| |atan|-------------------------------------|||
| 3 / ____________________________ | 3 / ____________________________ || | | \ 2755761270970764241 /| _______________ | \ 2755761270970764241 /||
\3630433318549 + \/ 2755761270970764241 + 819774*I*\/ 59900738843216976609555843 *\-1234517 + \/ 2755761270970764241 + 819774*I*\/ 59900738843216976609555843 //*|-2106401095260 + 7260866637098*cos|---------------------------------------------| + 2469034*\/ 3630433318549 *cos|-------------------------------------------||
\ \ 3 / \ 3 //
-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
_______________________________________________________________
3 / ____________________________
68864029804427103*\/ 2755761270970764241 + 819774*I*\/ 59900738843216976609555843
$$\frac{\left(3630433318549 + \left(-1234517 + \sqrt[3]{2755761270970764241 + 819774 \sqrt{59900738843216976609555843} i}\right) \sqrt[3]{2755761270970764241 + 819774 \sqrt{59900738843216976609555843} i}\right) \left(-2106401095260 + 2469034 \sqrt{3630433318549} \cos{\left(\frac{\operatorname{atan}{\left(\frac{819774 \sqrt{59900738843216976609555843}}{2755761270970764241} \right)}}{3} \right)} + 7260866637098 \cos{\left(\frac{2 \operatorname{atan}{\left(\frac{819774 \sqrt{59900738843216976609555843}}{2755761270970764241} \right)}}{3} \right)}\right)}{68864029804427103 \sqrt[3]{2755761270970764241 + 819774 \sqrt{59900738843216976609555843} i}}$$
(3630433318549 + (2755761270970764241 + 819774*i*sqrt(59900738843216976609555843))^(1/3)*(-1234517 + (2755761270970764241 + 819774*i*sqrt(59900738843216976609555843))^(1/3)))*(-2106401095260 + 7260866637098*cos(2*atan(819774*sqrt(59900738843216976609555843)/2755761270970764241)/3) + 2469034*sqrt(3630433318549)*cos(atan(819774*sqrt(59900738843216976609555843)/2755761270970764241)/3))/(68864029804427103*(2755761270970764241 + 819774*i*sqrt(59900738843216976609555843))^(1/3))
Respuesta numérica
[src]
x1 = -10.3553928296211
x2 = -4.27774403144745
x3 = 5.59759535816651
x3 = 5.59759535816651