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Ecuación 3*x^2-9=0
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Ecuación -8x-17=3x-105
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Expresiones idénticas
- tres x^ cuatro +5x^ tres − dos x^ dos +x– siete +8x^ tres −6x^2–3= cero
- 3x en el grado 4 más 5x al cubo −2x al cuadrado más x–7 más 8x al cubo −6x al cuadrado –3 es igual a 0
- tres x en el grado cuatro más 5x en el grado tres − dos x en el grado dos más x– siete más 8x en el grado tres −6x al cuadrado –3 es igual a cero
- 3x4+5x3−2x2+x–7+8x3−6x2–3=0
- 3x⁴+5x³−2x²+x–7+8x³−6x²–3=0
- 3x en el grado 4+5x en el grado 3−2x en el grado 2+x–7+8x en el grado 3−6x en el grado 2–3=0
- 3x^4+5x^3−2x^2+x–7+8x^3−6x^2–3=O
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Expresiones semejantes
- 3x^4+5x^3−2x^2-x–7+8x^3−6x^2–3=0
- 3x^4-5x^3−2x^2+x–7+8x^3−6x^2–3=0
- 3x^4+5x^3−2x^2+x–7-8x^3−6x^2–3=0
3x^4+5x^3−2x^2+x–7+8x^3−6x^2–3=0 la ecuación
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Solución
Ha introducido
[src]
4 3 2 3 2 3*x + 5*x - 2*x + x - 7 + 8*x - 6*x - 3 = 0
$$\left(- 6 x^{2} + \left(8 x^{3} + \left(\left(x + \left(- 2 x^{2} + \left(3 x^{4} + 5 x^{3}\right)\right)\right) - 7\right)\right)\right) - 3 = 0$$
Respuesta rápida
[src]
___________________________________________________________________________________________________________________________________________________________________________
/ _________________________
/ / ___________
/ 233 / 62917 \/ 456547821 335 3517
/ --- - 2*3 / - ----- + ------------- + ---------------------------------- + -------------------------------------------------------------------------------------------
/ 18 \/ 11664 3888 _________________________ _____________________________________________________________________________ _____________________________________________________________________________
/ / ___________ / _________________________ / _________________________
/ / 62917 \/ 456547821 / / ___________ / / ___________
/ 162*3 / - ----- + ------------- / 233 / 62917 \/ 456547821 335 / 233 / 62917 \/ 456547821 335
/ \/ 11664 3888 108* / --- + 2*3 / - ----- + ------------- - ---------------------------------- / --- + 2*3 / - ----- + ------------- - ----------------------------------
/ / 36 \/ 11664 3888 _________________________ / 36 \/ 11664 3888 _________________________
/ / / ___________ / / ___________
/ / / 62917 \/ 456547821 / / 62917 \/ 456547821
/ / 162*3 / - ----- + ------------- / 162*3 / - ----- + -------------
13 \/ \/ \/ 11664 3888 \/ \/ 11664 3888
x1 = - -- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ - ---------------------------------------------------------------------------------------
12 2 2
$$x_{1} = - \frac{13}{12} - \frac{\sqrt{- \frac{335}{162 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}}} + 2 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}} + \frac{233}{36}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}} + \frac{335}{162 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}}} + \frac{233}{18} + \frac{3517}{108 \sqrt{- \frac{335}{162 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}}} + 2 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}} + \frac{233}{36}}}}}{2}$$
_______________________________________________________________________________________________________________________________________________________________________________
/ _________________________
/ / ___________
/ 233 / 62917 \/ 456547821 335 3517
I* / - --- + 2*3 / - ----- + ------------- - ---------------------------------- + ---------------------------------------------------------------------------------------------
_______________________________________________________________________________ / 18 \/ 11664 3888 _________________________ _______________________________________________________________________________
/ | _________________________ | / / ___________ / | _________________________ |
/ | / ___________ | / / 62917 \/ 456547821 / | / ___________ |
/ |233 / 62917 \/ 456547821 335 | / 162*3 / - ----- + ------------- / |233 / 62917 \/ 456547821 335 |
/ |--- + 2*3 / - ----- + ------------- - ----------------------------------| / \/ 11664 3888 108* / |--- + 2*3 / - ----- + ------------- - ----------------------------------|
/ | 36 \/ 11664 3888 _________________________| / / | 36 \/ 11664 3888 _________________________|
/ | / ___________ | / / | / ___________ |
/ | / 62917 \/ 456547821 | / / | / 62917 \/ 456547821 |
/ | 162*3 / - ----- + ------------- | / / | 162*3 / - ----- + ------------- |
13 \/ | \/ 11664 3888 | \/ \/ | \/ 11664 3888 |
x2 = - -- + ----------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
12 2 2
$$x_{2} = - \frac{13}{12} + \frac{\sqrt{\left|{- \frac{335}{162 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}}} + 2 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}} + \frac{233}{36}}\right|}}{2} - \frac{i \sqrt{- \frac{233}{18} - \frac{335}{162 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}}} + 2 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}} + \frac{3517}{108 \sqrt{\left|{- \frac{335}{162 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}}} + 2 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}} + \frac{233}{36}}\right|}}}}{2}$$
_______________________________________________________________________________________________________________________________________________________________________________
/ _________________________
/ / ___________
/ 233 / 62917 \/ 456547821 335 3517
I* / - --- + 2*3 / - ----- + ------------- - ---------------------------------- + ---------------------------------------------------------------------------------------------
_______________________________________________________________________________ / 18 \/ 11664 3888 _________________________ _______________________________________________________________________________
/ | _________________________ | / / ___________ / | _________________________ |
/ | / ___________ | / / 62917 \/ 456547821 / | / ___________ |
/ |233 / 62917 \/ 456547821 335 | / 162*3 / - ----- + ------------- / |233 / 62917 \/ 456547821 335 |
/ |--- + 2*3 / - ----- + ------------- - ----------------------------------| / \/ 11664 3888 108* / |--- + 2*3 / - ----- + ------------- - ----------------------------------|
/ | 36 \/ 11664 3888 _________________________| / / | 36 \/ 11664 3888 _________________________|
/ | / ___________ | / / | / ___________ |
/ | / 62917 \/ 456547821 | / / | / 62917 \/ 456547821 |
/ | 162*3 / - ----- + ------------- | / / | 162*3 / - ----- + ------------- |
13 \/ | \/ 11664 3888 | \/ \/ | \/ 11664 3888 |
x3 = - -- + ----------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
12 2 2
$$x_{3} = - \frac{13}{12} + \frac{\sqrt{\left|{- \frac{335}{162 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}}} + 2 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}} + \frac{233}{36}}\right|}}{2} + \frac{i \sqrt{- \frac{233}{18} - \frac{335}{162 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}}} + 2 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}} + \frac{3517}{108 \sqrt{\left|{- \frac{335}{162 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}}} + 2 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}} + \frac{233}{36}}\right|}}}}{2}$$
___________________________________________________________________________________________________________________________________________________________________________
/ _________________________
/ / ___________
/ 233 / 62917 \/ 456547821 335 3517
/ --- - 2*3 / - ----- + ------------- + ---------------------------------- + -------------------------------------------------------------------------------------------
_____________________________________________________________________________ / 18 \/ 11664 3888 _________________________ _____________________________________________________________________________
/ _________________________ / / ___________ / _________________________
/ / ___________ / / 62917 \/ 456547821 / / ___________
/ 233 / 62917 \/ 456547821 335 / 162*3 / - ----- + ------------- / 233 / 62917 \/ 456547821 335
/ --- + 2*3 / - ----- + ------------- - ---------------------------------- / \/ 11664 3888 108* / --- + 2*3 / - ----- + ------------- - ----------------------------------
/ 36 \/ 11664 3888 _________________________ / / 36 \/ 11664 3888 _________________________
/ / ___________ / / / ___________
/ / 62917 \/ 456547821 / / / 62917 \/ 456547821
/ 162*3 / - ----- + ------------- / / 162*3 / - ----- + -------------
13 \/ \/ 11664 3888 \/ \/ \/ 11664 3888
x4 = - -- - --------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
12 2 2
$$x_{4} = - \frac{\sqrt{- 2 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}} + \frac{335}{162 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}}} + \frac{233}{18} + \frac{3517}{108 \sqrt{- \frac{335}{162 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}}} + 2 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}} + \frac{233}{36}}}}}{2} - \frac{13}{12} - \frac{\sqrt{- \frac{335}{162 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}}} + 2 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}} + \frac{233}{36}}}{2}$$
x4 = -sqrt(-2*(-62917/11664 + sqrt(456547821)/3888)^(1/3) + 335/(162*(-62917/11664 + sqrt(456547821)/3888)^(1/3)) + 233/18 + 3517/(108*sqrt(-335/(162*(-62917/11664 + sqrt(456547821)/3888)^(1/3)) + 2*(-62917/11664 + sqrt(456547821)/3888)^(1/3) + 233/36)))/2 - 13/12 - sqrt(-335/(162*(-62917/11664 + sqrt(456547821)/3888)^(1/3)) + 2*(-62917/11664 + sqrt(456547821)/3888)^(1/3) + 233/36)/2
Suma y producto de raíces
[src]
suma
___________________________________________________________________________________________________________________________________________________________________________ _______________________________________________________________________________________________________________________________________________________________________________ _______________________________________________________________________________________________________________________________________________________________________________ ___________________________________________________________________________________________________________________________________________________________________________
/ _________________________ / _________________________ / _________________________ / _________________________
/ / ___________ / / ___________ / / ___________ / / ___________
/ 233 / 62917 \/ 456547821 335 3517 / 233 / 62917 \/ 456547821 335 3517 / 233 / 62917 \/ 456547821 335 3517 / 233 / 62917 \/ 456547821 335 3517
/ --- - 2*3 / - ----- + ------------- + ---------------------------------- + ------------------------------------------------------------------------------------------- I* / - --- + 2*3 / - ----- + ------------- - ---------------------------------- + --------------------------------------------------------------------------------------------- I* / - --- + 2*3 / - ----- + ------------- - ---------------------------------- + --------------------------------------------------------------------------------------------- / --- - 2*3 / - ----- + ------------- + ---------------------------------- + -------------------------------------------------------------------------------------------
/ 18 \/ 11664 3888 _________________________ _____________________________________________________________________________ _____________________________________________________________________________ _______________________________________________________________________________ / 18 \/ 11664 3888 _________________________ _______________________________________________________________________________ _______________________________________________________________________________ / 18 \/ 11664 3888 _________________________ _______________________________________________________________________________ _____________________________________________________________________________ / 18 \/ 11664 3888 _________________________ _____________________________________________________________________________
/ / ___________ / _________________________ / _________________________ / | _________________________ | / / ___________ / | _________________________ | / | _________________________ | / / ___________ / | _________________________ | / _________________________ / / ___________ / _________________________
/ / 62917 \/ 456547821 / / ___________ / / ___________ / | / ___________ | / / 62917 \/ 456547821 / | / ___________ | / | / ___________ | / / 62917 \/ 456547821 / | / ___________ | / / ___________ / / 62917 \/ 456547821 / / ___________
/ 162*3 / - ----- + ------------- / 233 / 62917 \/ 456547821 335 / 233 / 62917 \/ 456547821 335 / |233 / 62917 \/ 456547821 335 | / 162*3 / - ----- + ------------- / |233 / 62917 \/ 456547821 335 | / |233 / 62917 \/ 456547821 335 | / 162*3 / - ----- + ------------- / |233 / 62917 \/ 456547821 335 | / 233 / 62917 \/ 456547821 335 / 162*3 / - ----- + ------------- / 233 / 62917 \/ 456547821 335
/ \/ 11664 3888 108* / --- + 2*3 / - ----- + ------------- - ---------------------------------- / --- + 2*3 / - ----- + ------------- - ---------------------------------- / |--- + 2*3 / - ----- + ------------- - ----------------------------------| / \/ 11664 3888 108* / |--- + 2*3 / - ----- + ------------- - ----------------------------------| / |--- + 2*3 / - ----- + ------------- - ----------------------------------| / \/ 11664 3888 108* / |--- + 2*3 / - ----- + ------------- - ----------------------------------| / --- + 2*3 / - ----- + ------------- - ---------------------------------- / \/ 11664 3888 108* / --- + 2*3 / - ----- + ------------- - ----------------------------------
/ / 36 \/ 11664 3888 _________________________ / 36 \/ 11664 3888 _________________________ / | 36 \/ 11664 3888 _________________________| / / | 36 \/ 11664 3888 _________________________| / | 36 \/ 11664 3888 _________________________| / / | 36 \/ 11664 3888 _________________________| / 36 \/ 11664 3888 _________________________ / / 36 \/ 11664 3888 _________________________
/ / / ___________ / / ___________ / | / ___________ | / / | / ___________ | / | / ___________ | / / | / ___________ | / / ___________ / / / ___________
/ / / 62917 \/ 456547821 / / 62917 \/ 456547821 / | / 62917 \/ 456547821 | / / | / 62917 \/ 456547821 | / | / 62917 \/ 456547821 | / / | / 62917 \/ 456547821 | / / 62917 \/ 456547821 / / / 62917 \/ 456547821
/ / 162*3 / - ----- + ------------- / 162*3 / - ----- + ------------- / | 162*3 / - ----- + ------------- | / / | 162*3 / - ----- + ------------- | / | 162*3 / - ----- + ------------- | / / | 162*3 / - ----- + ------------- | / 162*3 / - ----- + ------------- / / 162*3 / - ----- + -------------
13 \/ \/ \/ 11664 3888 \/ \/ 11664 3888 13 \/ | \/ 11664 3888 | \/ \/ | \/ 11664 3888 | 13 \/ | \/ 11664 3888 | \/ \/ | \/ 11664 3888 | 13 \/ \/ 11664 3888 \/ \/ \/ 11664 3888
- -- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ - --------------------------------------------------------------------------------------- + - -- + ----------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ + - -- + ----------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ + - -- - --------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
12 2 2 12 2 2 12 2 2 12 2 2
$$\left(- \frac{\sqrt{- 2 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}} + \frac{335}{162 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}}} + \frac{233}{18} + \frac{3517}{108 \sqrt{- \frac{335}{162 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}}} + 2 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}} + \frac{233}{36}}}}}{2} - \frac{13}{12} - \frac{\sqrt{- \frac{335}{162 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}}} + 2 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}} + \frac{233}{36}}}{2}\right) + \left(\left(\left(- \frac{13}{12} - \frac{\sqrt{- \frac{335}{162 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}}} + 2 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}} + \frac{233}{36}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}} + \frac{335}{162 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}}} + \frac{233}{18} + \frac{3517}{108 \sqrt{- \frac{335}{162 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}}} + 2 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}} + \frac{233}{36}}}}}{2}\right) + \left(- \frac{13}{12} + \frac{\sqrt{\left|{- \frac{335}{162 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}}} + 2 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}} + \frac{233}{36}}\right|}}{2} - \frac{i \sqrt{- \frac{233}{18} - \frac{335}{162 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}}} + 2 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}} + \frac{3517}{108 \sqrt{\left|{- \frac{335}{162 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}}} + 2 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}} + \frac{233}{36}}\right|}}}}{2}\right)\right) + \left(- \frac{13}{12} + \frac{\sqrt{\left|{- \frac{335}{162 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}}} + 2 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}} + \frac{233}{36}}\right|}}{2} + \frac{i \sqrt{- \frac{233}{18} - \frac{335}{162 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}}} + 2 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}} + \frac{3517}{108 \sqrt{\left|{- \frac{335}{162 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}}} + 2 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}} + \frac{233}{36}}\right|}}}}{2}\right)\right)$$
=
_______________________________________________________________________________ _____________________________________________________________________________
/ | _________________________ | / _________________________
/ | / ___________ | / / ___________
13 / |233 / 62917 \/ 456547821 335 | / 233 / 62917 \/ 456547821 335
- -- + / |--- + 2*3 / - ----- + ------------- - ----------------------------------| - / --- + 2*3 / - ----- + ------------- - ----------------------------------
3 / | 36 \/ 11664 3888 _________________________| / 36 \/ 11664 3888 _________________________
/ | / ___________ | / / ___________
/ | / 62917 \/ 456547821 | / / 62917 \/ 456547821
/ | 162*3 / - ----- + ------------- | / 162*3 / - ----- + -------------
\/ | \/ 11664 3888 | \/ \/ 11664 3888
$$- \frac{13}{3} - \sqrt{- \frac{335}{162 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}}} + 2 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}} + \frac{233}{36}} + \sqrt{\left|{- \frac{335}{162 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}}} + 2 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}} + \frac{233}{36}}\right|}$$
producto
/ ___________________________________________________________________________________________________________________________________________________________________________ \ / _______________________________________________________________________________________________________________________________________________________________________________\ / _______________________________________________________________________________________________________________________________________________________________________________\ / ___________________________________________________________________________________________________________________________________________________________________________\ | / _________________________ | | / _________________________ | | / _________________________ | | / _________________________ | | / / ___________ | | / / ___________ | | / / ___________ | | / / ___________ | | / 233 / 62917 \/ 456547821 335 3517 | | / 233 / 62917 \/ 456547821 335 3517 | | / 233 / 62917 \/ 456547821 335 3517 | | / 233 / 62917 \/ 456547821 335 3517 | | / --- - 2*3 / - ----- + ------------- + ---------------------------------- + ------------------------------------------------------------------------------------------- | | I* / - --- + 2*3 / - ----- + ------------- - ---------------------------------- + --------------------------------------------------------------------------------------------- | | I* / - --- + 2*3 / - ----- + ------------- - ---------------------------------- + --------------------------------------------------------------------------------------------- | | / --- - 2*3 / - ----- + ------------- + ---------------------------------- + ------------------------------------------------------------------------------------------- | | / 18 \/ 11664 3888 _________________________ _____________________________________________________________________________ _____________________________________________________________________________| | _______________________________________________________________________________ / 18 \/ 11664 3888 _________________________ _______________________________________________________________________________ | | _______________________________________________________________________________ / 18 \/ 11664 3888 _________________________ _______________________________________________________________________________ | | _____________________________________________________________________________ / 18 \/ 11664 3888 _________________________ _____________________________________________________________________________ | | / / ___________ / _________________________ / _________________________ | | / | _________________________ | / / ___________ / | _________________________ | | | / | _________________________ | / / ___________ / | _________________________ | | | / _________________________ / / ___________ / _________________________ | | / / 62917 \/ 456547821 / / ___________ / / ___________ | | / | / ___________ | / / 62917 \/ 456547821 / | / ___________ | | | / | / ___________ | / / 62917 \/ 456547821 / | / ___________ | | | / / ___________ / / 62917 \/ 456547821 / / ___________ | | / 162*3 / - ----- + ------------- / 233 / 62917 \/ 456547821 335 / 233 / 62917 \/ 456547821 335 | | / |233 / 62917 \/ 456547821 335 | / 162*3 / - ----- + ------------- / |233 / 62917 \/ 456547821 335 | | | / |233 / 62917 \/ 456547821 335 | / 162*3 / - ----- + ------------- / |233 / 62917 \/ 456547821 335 | | | / 233 / 62917 \/ 456547821 335 / 162*3 / - ----- + ------------- / 233 / 62917 \/ 456547821 335 | | / \/ 11664 3888 108* / --- + 2*3 / - ----- + ------------- - ---------------------------------- / --- + 2*3 / - ----- + ------------- - ---------------------------------- | | / |--- + 2*3 / - ----- + ------------- - ----------------------------------| / \/ 11664 3888 108* / |--- + 2*3 / - ----- + ------------- - ----------------------------------| | | / |--- + 2*3 / - ----- + ------------- - ----------------------------------| / \/ 11664 3888 108* / |--- + 2*3 / - ----- + ------------- - ----------------------------------| | | / --- + 2*3 / - ----- + ------------- - ---------------------------------- / \/ 11664 3888 108* / --- + 2*3 / - ----- + ------------- - ---------------------------------- | | / / 36 \/ 11664 3888 _________________________ / 36 \/ 11664 3888 _________________________ | | / | 36 \/ 11664 3888 _________________________| / / | 36 \/ 11664 3888 _________________________| | | / | 36 \/ 11664 3888 _________________________| / / | 36 \/ 11664 3888 _________________________| | | / 36 \/ 11664 3888 _________________________ / / 36 \/ 11664 3888 _________________________ | | / / / ___________ / / ___________ | | / | / ___________ | / / | / ___________ | | | / | / ___________ | / / | / ___________ | | | / / ___________ / / / ___________ | | / / / 62917 \/ 456547821 / / 62917 \/ 456547821 | | / | / 62917 \/ 456547821 | / / | / 62917 \/ 456547821 | | | / | / 62917 \/ 456547821 | / / | / 62917 \/ 456547821 | | | / / 62917 \/ 456547821 / / / 62917 \/ 456547821 | | / / 162*3 / - ----- + ------------- / 162*3 / - ----- + ------------- | | / | 162*3 / - ----- + ------------- | / / | 162*3 / - ----- + ------------- | | | / | 162*3 / - ----- + ------------- | / / | 162*3 / - ----- + ------------- | | | / 162*3 / - ----- + ------------- / / 162*3 / - ----- + ------------- | | 13 \/ \/ \/ 11664 3888 \/ \/ 11664 3888 | | 13 \/ | \/ 11664 3888 | \/ \/ | \/ 11664 3888 | | | 13 \/ | \/ 11664 3888 | \/ \/ | \/ 11664 3888 | | | 13 \/ \/ 11664 3888 \/ \/ \/ 11664 3888 | |- -- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ - ---------------------------------------------------------------------------------------|*|- -- + ----------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|- -- + ----------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|- -- - --------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| \ 12 2 2 / \ 12 2 2 / \ 12 2 2 / \ 12 2 2 /
$$\left(- \frac{13}{12} - \frac{\sqrt{- \frac{335}{162 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}}} + 2 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}} + \frac{233}{36}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}} + \frac{335}{162 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}}} + \frac{233}{18} + \frac{3517}{108 \sqrt{- \frac{335}{162 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}}} + 2 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}} + \frac{233}{36}}}}}{2}\right) \left(- \frac{13}{12} + \frac{\sqrt{\left|{- \frac{335}{162 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}}} + 2 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}} + \frac{233}{36}}\right|}}{2} - \frac{i \sqrt{- \frac{233}{18} - \frac{335}{162 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}}} + 2 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}} + \frac{3517}{108 \sqrt{\left|{- \frac{335}{162 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}}} + 2 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}} + \frac{233}{36}}\right|}}}}{2}\right) \left(- \frac{13}{12} + \frac{\sqrt{\left|{- \frac{335}{162 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}}} + 2 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}} + \frac{233}{36}}\right|}}{2} + \frac{i \sqrt{- \frac{233}{18} - \frac{335}{162 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}}} + 2 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}} + \frac{3517}{108 \sqrt{\left|{- \frac{335}{162 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}}} + 2 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}} + \frac{233}{36}}\right|}}}}{2}\right) \left(- \frac{\sqrt{- 2 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}} + \frac{335}{162 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}}} + \frac{233}{18} + \frac{3517}{108 \sqrt{- \frac{335}{162 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}}} + 2 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}} + \frac{233}{36}}}}}{2} - \frac{13}{12} - \frac{\sqrt{- \frac{335}{162 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}}} + 2 \sqrt[3]{- \frac{62917}{11664} + \frac{\sqrt{456547821}}{3888}} + \frac{233}{36}}}{2}\right)$$
=
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| ___________________________________________________________________________________________ / __________________________ | | ___________________________________________________________________________________________ / __________________________ | / ___________________________________________________________________________________________ ________________________________________________________________________________________________________________________________________________________________________________________________________________________________\ / ___________________________________________________________________________________________ ________________________________________________________________________________________________________________________________________________________________________________________________________________________________\
| / __________________________ / __________________________\ __________________________ / __________________________ / __________________________\ / ___________ | | / __________________________ / __________________________\ __________________________ / __________________________ / __________________________\ / ___________ | | / | __________________________ / __________________________\| __________________________ / __________________________ / __________________________ __________________________ \ | | / | __________________________ / __________________________\| __________________________ / __________________________ / __________________________ __________________________ \ |
| / 3 ___ 3 / ___________ | 2/3 3 / ___________ | 6 / ___________ ___ / 3 ___ 3 / ___________ | 2/3 3 / ___________ | 3517*\/ -62917 + 3*\/ 456547821 | | / 3 ___ 3 / ___________ | 2/3 3 / ___________ | 6 / ___________ ___ / 3 ___ 3 / ___________ | 2/3 3 / ___________ | 3517*\/ -62917 + 3*\/ 456547821 | | / | 3 ___ 3 / ___________ | 2/3 3 / ___________ || 6 / ___________ ___ / 3 ___ 3 / ___________ | 2/3 3 / ___________ 6 / ___________ | 1 || | | / | 3 ___ 3 / ___________ | 2/3 3 / ___________ || 6 / ___________ ___ / 3 ___ 3 / ___________ | 2/3 3 / ___________ 6 / ___________ | 1 || |
-|\/ - 1340*\/ 2 + \/ -62917 + 3*\/ 456547821 *\233 + 2*2 *\/ -62917 + 3*\/ 456547821 / + 13*\/ -62917 + 3*\/ 456547821 + \/ 2 * / 670*\/ 2 + \/ -62917 + 3*\/ 456547821 *\233 - 2 *\/ -62917 + 3*\/ 456547821 / + ----------------------------------------------------------------------------------------------- |*|\/ - 1340*\/ 2 + \/ -62917 + 3*\/ 456547821 *\233 + 2*2 *\/ -62917 + 3*\/ 456547821 / + 13*\/ -62917 + 3*\/ 456547821 - \/ 2 * / 670*\/ 2 + \/ -62917 + 3*\/ 456547821 *\233 - 2 *\/ -62917 + 3*\/ 456547821 / + ----------------------------------------------------------------------------------------------- |*|\/ |1340*\/ 2 - \/ -62917 + 3*\/ 456547821 *\233 + 2*2 *\/ -62917 + 3*\/ 456547821 /| - 13*\/ -62917 + 3*\/ 456547821 + I*\/ 2 * / - 670*\/ 2 + \/ -62917 + 3*\/ 456547821 *|-233 + 2 *\/ -62917 + 3*\/ 456547821 + 3517*\/ -62917 + 3*\/ 456547821 *|-----------------------------------------------------------------------------------------------|| |*|- \/ |1340*\/ 2 - \/ -62917 + 3*\/ 456547821 *\233 + 2*2 *\/ -62917 + 3*\/ 456547821 /| + 13*\/ -62917 + 3*\/ 456547821 + I*\/ 2 * / - 670*\/ 2 + \/ -62917 + 3*\/ 456547821 *|-233 + 2 *\/ -62917 + 3*\/ 456547821 + 3517*\/ -62917 + 3*\/ 456547821 *|-----------------------------------------------------------------------------------------------|| |
| / ___________________________________________________________________________________________ | | / ___________________________________________________________________________________________ | | / | | ___________________________________________________________________________________________|| | | / | | ___________________________________________________________________________________________|| |
| / / __________________________ / __________________________\ | | / / __________________________ / __________________________\ | | / | | / __________________________ / __________________________\ || | | / | | / __________________________ / __________________________\ || |
| / / 3 ___ 3 / ___________ | 2/3 3 / ___________ | | | / / 3 ___ 3 / ___________ | 2/3 3 / ___________ | | | / | | / 3 ___ 3 / ___________ | 2/3 3 / ___________ | || | | / | | / 3 ___ 3 / ___________ | 2/3 3 / ___________ | || |
\ \/ \/ - 1340*\/ 2 + \/ -62917 + 3*\/ 456547821 *\233 + 2*2 *\/ -62917 + 3*\/ 456547821 / / \ \/ \/ - 1340*\/ 2 + \/ -62917 + 3*\/ 456547821 *\233 + 2*2 *\/ -62917 + 3*\/ 456547821 / / \ \/ \ |\/ - 1340*\/ 2 + \/ -62917 + 3*\/ 456547821 *\233 + 2*2 *\/ -62917 + 3*\/ 456547821 / |/ / \ \/ \ |\/ - 1340*\/ 2 + \/ -62917 + 3*\/ 456547821 *\233 + 2*2 *\/ -62917 + 3*\/ 456547821 / |/ /
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2/3
/ ___________\
20736*\-62917 + 3*\/ 456547821 /
$$- \frac{\left(- \sqrt{2} \sqrt{670 \sqrt[3]{2} + \sqrt[3]{-62917 + 3 \sqrt{456547821}} \left(- 2^{\frac{2}{3}} \sqrt[3]{-62917 + 3 \sqrt{456547821}} + 233\right) + \frac{3517 \sqrt{-62917 + 3 \sqrt{456547821}}}{\sqrt{- 1340 \sqrt[3]{2} + \sqrt[3]{-62917 + 3 \sqrt{456547821}} \left(2 \cdot 2^{\frac{2}{3}} \sqrt[3]{-62917 + 3 \sqrt{456547821}} + 233\right)}}} + \sqrt{- 1340 \sqrt[3]{2} + \sqrt[3]{-62917 + 3 \sqrt{456547821}} \left(2 \cdot 2^{\frac{2}{3}} \sqrt[3]{-62917 + 3 \sqrt{456547821}} + 233\right)} + 13 \sqrt[6]{-62917 + 3 \sqrt{456547821}}\right) \left(- 13 \sqrt[6]{-62917 + 3 \sqrt{456547821}} + \sqrt{\left|{- \sqrt[3]{-62917 + 3 \sqrt{456547821}} \left(2 \cdot 2^{\frac{2}{3}} \sqrt[3]{-62917 + 3 \sqrt{456547821}} + 233\right) + 1340 \sqrt[3]{2}}\right|} + \sqrt{2} i \sqrt{- 670 \sqrt[3]{2} + \sqrt[3]{-62917 + 3 \sqrt{456547821}} \left(-233 + 2^{\frac{2}{3}} \sqrt[3]{-62917 + 3 \sqrt{456547821}} + 3517 \sqrt[6]{-62917 + 3 \sqrt{456547821}} \left|{\frac{1}{\sqrt{- 1340 \sqrt[3]{2} + \sqrt[3]{-62917 + 3 \sqrt{456547821}} \left(2 \cdot 2^{\frac{2}{3}} \sqrt[3]{-62917 + 3 \sqrt{456547821}} + 233\right)}}}\right|\right)}\right) \left(\sqrt{- 1340 \sqrt[3]{2} + \sqrt[3]{-62917 + 3 \sqrt{456547821}} \left(2 \cdot 2^{\frac{2}{3}} \sqrt[3]{-62917 + 3 \sqrt{456547821}} + 233\right)} + 13 \sqrt[6]{-62917 + 3 \sqrt{456547821}} + \sqrt{2} \sqrt{670 \sqrt[3]{2} + \sqrt[3]{-62917 + 3 \sqrt{456547821}} \left(- 2^{\frac{2}{3}} \sqrt[3]{-62917 + 3 \sqrt{456547821}} + 233\right) + \frac{3517 \sqrt{-62917 + 3 \sqrt{456547821}}}{\sqrt{- 1340 \sqrt[3]{2} + \sqrt[3]{-62917 + 3 \sqrt{456547821}} \left(2 \cdot 2^{\frac{2}{3}} \sqrt[3]{-62917 + 3 \sqrt{456547821}} + 233\right)}}}\right) \left(- \sqrt{\left|{- \sqrt[3]{-62917 + 3 \sqrt{456547821}} \left(2 \cdot 2^{\frac{2}{3}} \sqrt[3]{-62917 + 3 \sqrt{456547821}} + 233\right) + 1340 \sqrt[3]{2}}\right|} + 13 \sqrt[6]{-62917 + 3 \sqrt{456547821}} + \sqrt{2} i \sqrt{- 670 \sqrt[3]{2} + \sqrt[3]{-62917 + 3 \sqrt{456547821}} \left(-233 + 2^{\frac{2}{3}} \sqrt[3]{-62917 + 3 \sqrt{456547821}} + 3517 \sqrt[6]{-62917 + 3 \sqrt{456547821}} \left|{\frac{1}{\sqrt{- 1340 \sqrt[3]{2} + \sqrt[3]{-62917 + 3 \sqrt{456547821}} \left(2 \cdot 2^{\frac{2}{3}} \sqrt[3]{-62917 + 3 \sqrt{456547821}} + 233\right)}}}\right|\right)}\right)}{20736 \left(-62917 + 3 \sqrt{456547821}\right)^{\frac{2}{3}}}$$
-(sqrt(-1340*2^(1/3) + (-62917 + 3*sqrt(456547821))^(1/3)*(233 + 2*2^(2/3)*(-62917 + 3*sqrt(456547821))^(1/3))) + 13*(-62917 + 3*sqrt(456547821))^(1/6) + sqrt(2)*sqrt(670*2^(1/3) + (-62917 + 3*sqrt(456547821))^(1/3)*(233 - 2^(2/3)*(-62917 + 3*sqrt(456547821))^(1/3)) + 3517*sqrt(-62917 + 3*sqrt(456547821))/sqrt(-1340*2^(1/3) + (-62917 + 3*sqrt(456547821))^(1/3)*(233 + 2*2^(2/3)*(-62917 + 3*sqrt(456547821))^(1/3)))))*(sqrt(-1340*2^(1/3) + (-62917 + 3*sqrt(456547821))^(1/3)*(233 + 2*2^(2/3)*(-62917 + 3*sqrt(456547821))^(1/3))) + 13*(-62917 + 3*sqrt(456547821))^(1/6) - sqrt(2)*sqrt(670*2^(1/3) + (-62917 + 3*sqrt(456547821))^(1/3)*(233 - 2^(2/3)*(-62917 + 3*sqrt(456547821))^(1/3)) + 3517*sqrt(-62917 + 3*sqrt(456547821))/sqrt(-1340*2^(1/3) + (-62917 + 3*sqrt(456547821))^(1/3)*(233 + 2*2^(2/3)*(-62917 + 3*sqrt(456547821))^(1/3)))))*(sqrt(Abs(1340*2^(1/3) - (-62917 + 3*sqrt(456547821))^(1/3)*(233 + 2*2^(2/3)*(-62917 + 3*sqrt(456547821))^(1/3)))) - 13*(-62917 + 3*sqrt(456547821))^(1/6) + i*sqrt(2)*sqrt(-670*2^(1/3) + (-62917 + 3*sqrt(456547821))^(1/3)*(-233 + 2^(2/3)*(-62917 + 3*sqrt(456547821))^(1/3) + 3517*(-62917 + 3*sqrt(456547821))^(1/6)*Abs(1/sqrt(-1340*2^(1/3) + (-62917 + 3*sqrt(456547821))^(1/3)*(233 + 2*2^(2/3)*(-62917 + 3*sqrt(456547821))^(1/3)))))))*(-sqrt(Abs(1340*2^(1/3) - (-62917 + 3*sqrt(456547821))^(1/3)*(233 + 2*2^(2/3)*(-62917 + 3*sqrt(456547821))^(1/3)))) + 13*(-62917 + 3*sqrt(456547821))^(1/6) + i*sqrt(2)*sqrt(-670*2^(1/3) + (-62917 + 3*sqrt(456547821))^(1/3)*(-233 + 2^(2/3)*(-62917 + 3*sqrt(456547821))^(1/3) + 3517*(-62917 + 3*sqrt(456547821))^(1/6)*Abs(1/sqrt(-1340*2^(1/3) + (-62917 + 3*sqrt(456547821))^(1/3)*(233 + 2*2^(2/3)*(-62917 + 3*sqrt(456547821))^(1/3)))))))/(20736*(-62917 + 3*sqrt(456547821))^(2/3))
Respuesta numérica
[src]
x1 = -0.221341299083703 - 0.781782047419041*i
x2 = 1.02678768019641
x3 = -0.221341299083703 + 0.781782047419041*i
x4 = -4.91743841536234
x4 = -4.91743841536234