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Expresiones idénticas
- nueve mil quinientos sesenta y tres *x^ cuatro /(mil * diez ^ nueve)+x- mil quinientos cincuenta = cero
- 9563 multiplicar por x en el grado 4 dividir por (1000 multiplicar por 10 en el grado 9) más x menos 1550 es igual a 0
- nueve mil quinientos sesenta y tres multiplicar por x en el grado cuatro dividir por (mil multiplicar por diez en el grado nueve) más x menos mil quinientos cincuenta es igual a cero
- 9563*x4/(1000*109)+x-1550=0
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- 9563x^4/(100010^9)+x-1550=0
- 9563x4/(1000109)+x-1550=0
- 9563x4/1000109+x-1550=0
- 9563x^4/100010^9+x-1550=0
- 9563*x^4/(1000*10^9)+x-1550=O
- 9563*x^4 dividir por (1000*10^9)+x-1550=0
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Expresiones semejantes
- 9563*x^4/(1000*10^9)-x-1550=0
- 9563*x^4/(1000*10^9)+x+1550=0
9563*x^4/(1000*10^9)+x-1550=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
4 9563*x ------------- + x - 1550 = 0 1000000000000
$$\left(x + \frac{9563 x^{4}}{1000000000000}\right) - 1550 = 0$$
Suma y producto de raíces
[src]
suma
_____________________________________________________________________________________ ______________________________________________________________________________________________________________________________________________________________________________________________ _____________________________________________________________________________________ ________________________________________________________________________________________________________________________________________________________________________________________________ _____________________________________________________________________________________ ________________________________________________________________________________________________________________________________________________________________________________________________ _____________________________________________________________________________________ ______________________________________________________________________________________________________________________________________________________________________________________________
/ _______________________________ / _______________________________ / _______________________________ / | _______________________________ | / _______________________________ / | _______________________________ | / _______________________________ / _______________________________
/ / ____________ / / ____________ / / ____________ / | / ____________ | / / ____________ / | / ____________ | / / ____________ / / ____________
/ / 62500 250*\/ 1714410498 3100 / / 62500 250*\/ 1714410498 2000 3100 / / 62500 250*\/ 1714410498 3100 / | / 62500 250*\/ 1714410498 2000 3100 | / / 62500 250*\/ 1714410498 3100 / | / 62500 250*\/ 1714410498 2000 3100 | / / 62500 250*\/ 1714410498 3100 / / 62500 250*\/ 1714410498 2000 3100
- 500* / 2*3 / -------- + ------------------ - ------------------------------------------ + 500* / - 2*3 / -------- + ------------------ + ---------------------------------------------------------------------------------------------------- + ------------------------------------------ + 500* / 2*3 / -------- + ------------------ - ------------------------------------------ - 500*I* / |- 2*3 / -------- + ------------------ - ---------------------------------------------------------------------------------------------------- + ------------------------------------------| + 500* / 2*3 / -------- + ------------------ - ------------------------------------------ + 500*I* / |- 2*3 / -------- + ------------------ - ---------------------------------------------------------------------------------------------------- + ------------------------------------------| + - 500* / 2*3 / -------- + ------------------ - ------------------------------------------ - 500* / - 2*3 / -------- + ------------------ + ---------------------------------------------------------------------------------------------------- + ------------------------------------------
/ \/ 91450969 823058721 _______________________________ / \/ 91450969 823058721 _____________________________________________________________________________________ _______________________________ / \/ 91450969 823058721 _______________________________ / | \/ 91450969 823058721 _____________________________________________________________________________________ _______________________________| / \/ 91450969 823058721 _______________________________ / | \/ 91450969 823058721 _____________________________________________________________________________________ _______________________________| / \/ 91450969 823058721 _______________________________ / \/ 91450969 823058721 _____________________________________________________________________________________ _______________________________
/ / ____________ / / _______________________________ / ____________ / / ____________ / | / _______________________________ / ____________ | / / ____________ / | / _______________________________ / ____________ | / / ____________ / / _______________________________ / ____________
/ / 62500 250*\/ 1714410498 / / / ____________ / 62500 250*\/ 1714410498 / / 62500 250*\/ 1714410498 / | / / ____________ / 62500 250*\/ 1714410498 | / / 62500 250*\/ 1714410498 / | / / ____________ / 62500 250*\/ 1714410498 | / / 62500 250*\/ 1714410498 / / / ____________ / 62500 250*\/ 1714410498
/ 28689*3 / -------- + ------------------ / / / 62500 250*\/ 1714410498 3100 28689*3 / -------- + ------------------ / 28689*3 / -------- + ------------------ / | / / 62500 250*\/ 1714410498 3100 28689*3 / -------- + ------------------ | / 28689*3 / -------- + ------------------ / | / / 62500 250*\/ 1714410498 3100 28689*3 / -------- + ------------------ | / 28689*3 / -------- + ------------------ / / / 62500 250*\/ 1714410498 3100 28689*3 / -------- + ------------------
\/ \/ 91450969 823058721 / 9563* / 2*3 / -------- + ------------------ - ------------------------------------------ \/ 91450969 823058721 \/ \/ 91450969 823058721 / | 9563* / 2*3 / -------- + ------------------ - ------------------------------------------ \/ 91450969 823058721 | \/ \/ 91450969 823058721 / | 9563* / 2*3 / -------- + ------------------ - ------------------------------------------ \/ 91450969 823058721 | \/ \/ 91450969 823058721 / 9563* / 2*3 / -------- + ------------------ - ------------------------------------------ \/ 91450969 823058721
/ / \/ 91450969 823058721 _______________________________ / | / \/ 91450969 823058721 _______________________________ | / | / \/ 91450969 823058721 _______________________________ | / / \/ 91450969 823058721 _______________________________
/ / / ____________ / | / / ____________ | / | / / ____________ | / / / ____________
/ / / 62500 250*\/ 1714410498 / | / / 62500 250*\/ 1714410498 | / | / / 62500 250*\/ 1714410498 | / / / 62500 250*\/ 1714410498
/ / 28689*3 / -------- + ------------------ / | / 28689*3 / -------- + ------------------ | / | / 28689*3 / -------- + ------------------ | / / 28689*3 / -------- + ------------------
\/ \/ \/ 91450969 823058721 \/ | \/ \/ 91450969 823058721 | \/ | \/ \/ 91450969 823058721 | \/ \/ \/ 91450969 823058721
$$\left(- 500 \sqrt{- 2 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}} + \frac{3100}{28689 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}} + \frac{2000}{9563 \sqrt{- \frac{3100}{28689 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}} + 2 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}}}} - 500 \sqrt{- \frac{3100}{28689 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}} + 2 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}}\right) + \left(\left(\left(- 500 \sqrt{- \frac{3100}{28689 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}} + 2 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}} + 500 \sqrt{- 2 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}} + \frac{3100}{28689 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}} + \frac{2000}{9563 \sqrt{- \frac{3100}{28689 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}} + 2 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}}}}\right) + \left(500 \sqrt{- \frac{3100}{28689 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}} + 2 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}} - 500 i \sqrt{\left|{- \frac{2000}{9563 \sqrt{- \frac{3100}{28689 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}} + 2 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}}} - 2 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}} + \frac{3100}{28689 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}}}\right|}\right)\right) + \left(500 \sqrt{- \frac{3100}{28689 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}} + 2 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}} + 500 i \sqrt{\left|{- \frac{2000}{9563 \sqrt{- \frac{3100}{28689 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}} + 2 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}}} - 2 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}} + \frac{3100}{28689 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}}}\right|}\right)\right)$$
=
0
$$0$$
producto
/ _____________________________________________________________________________________ ______________________________________________________________________________________________________________________________________________________________________________________________\ / _____________________________________________________________________________________ ________________________________________________________________________________________________________________________________________________________________________________________________\ / _____________________________________________________________________________________ ________________________________________________________________________________________________________________________________________________________________________________________________\ / _____________________________________________________________________________________ ______________________________________________________________________________________________________________________________________________________________________________________________\ | / _______________________________ / _______________________________ | | / _______________________________ / | _______________________________ | | | / _______________________________ / | _______________________________ | | | / _______________________________ / _______________________________ | | / / ____________ / / ____________ | | / / ____________ / | / ____________ | | | / / ____________ / | / ____________ | | | / / ____________ / / ____________ | | / / 62500 250*\/ 1714410498 3100 / / 62500 250*\/ 1714410498 2000 3100 | | / / 62500 250*\/ 1714410498 3100 / | / 62500 250*\/ 1714410498 2000 3100 | | | / / 62500 250*\/ 1714410498 3100 / | / 62500 250*\/ 1714410498 2000 3100 | | | / / 62500 250*\/ 1714410498 3100 / / 62500 250*\/ 1714410498 2000 3100 | |- 500* / 2*3 / -------- + ------------------ - ------------------------------------------ + 500* / - 2*3 / -------- + ------------------ + ---------------------------------------------------------------------------------------------------- + ------------------------------------------ |*|500* / 2*3 / -------- + ------------------ - ------------------------------------------ - 500*I* / |- 2*3 / -------- + ------------------ - ---------------------------------------------------------------------------------------------------- + ------------------------------------------| |*|500* / 2*3 / -------- + ------------------ - ------------------------------------------ + 500*I* / |- 2*3 / -------- + ------------------ - ---------------------------------------------------------------------------------------------------- + ------------------------------------------| |*|- 500* / 2*3 / -------- + ------------------ - ------------------------------------------ - 500* / - 2*3 / -------- + ------------------ + ---------------------------------------------------------------------------------------------------- + ------------------------------------------ | | / \/ 91450969 823058721 _______________________________ / \/ 91450969 823058721 _____________________________________________________________________________________ _______________________________ | | / \/ 91450969 823058721 _______________________________ / | \/ 91450969 823058721 _____________________________________________________________________________________ _______________________________| | | / \/ 91450969 823058721 _______________________________ / | \/ 91450969 823058721 _____________________________________________________________________________________ _______________________________| | | / \/ 91450969 823058721 _______________________________ / \/ 91450969 823058721 _____________________________________________________________________________________ _______________________________ | | / / ____________ / / _______________________________ / ____________ | | / / ____________ / | / _______________________________ / ____________ | | | / / ____________ / | / _______________________________ / ____________ | | | / / ____________ / / _______________________________ / ____________ | | / / 62500 250*\/ 1714410498 / / / ____________ / 62500 250*\/ 1714410498 | | / / 62500 250*\/ 1714410498 / | / / ____________ / 62500 250*\/ 1714410498 | | | / / 62500 250*\/ 1714410498 / | / / ____________ / 62500 250*\/ 1714410498 | | | / / 62500 250*\/ 1714410498 / / / ____________ / 62500 250*\/ 1714410498 | | / 28689*3 / -------- + ------------------ / / / 62500 250*\/ 1714410498 3100 28689*3 / -------- + ------------------ | | / 28689*3 / -------- + ------------------ / | / / 62500 250*\/ 1714410498 3100 28689*3 / -------- + ------------------ | | | / 28689*3 / -------- + ------------------ / | / / 62500 250*\/ 1714410498 3100 28689*3 / -------- + ------------------ | | | / 28689*3 / -------- + ------------------ / / / 62500 250*\/ 1714410498 3100 28689*3 / -------- + ------------------ | | \/ \/ 91450969 823058721 / 9563* / 2*3 / -------- + ------------------ - ------------------------------------------ \/ 91450969 823058721 | | \/ \/ 91450969 823058721 / | 9563* / 2*3 / -------- + ------------------ - ------------------------------------------ \/ 91450969 823058721 | | | \/ \/ 91450969 823058721 / | 9563* / 2*3 / -------- + ------------------ - ------------------------------------------ \/ 91450969 823058721 | | | \/ \/ 91450969 823058721 / 9563* / 2*3 / -------- + ------------------ - ------------------------------------------ \/ 91450969 823058721 | | / / \/ 91450969 823058721 _______________________________ | | / | / \/ 91450969 823058721 _______________________________ | | | / | / \/ 91450969 823058721 _______________________________ | | | / / \/ 91450969 823058721 _______________________________ | | / / / ____________ | | / | / / ____________ | | | / | / / ____________ | | | / / / ____________ | | / / / 62500 250*\/ 1714410498 | | / | / / 62500 250*\/ 1714410498 | | | / | / / 62500 250*\/ 1714410498 | | | / / / 62500 250*\/ 1714410498 | | / / 28689*3 / -------- + ------------------ | | / | / 28689*3 / -------- + ------------------ | | | / | / 28689*3 / -------- + ------------------ | | | / / 28689*3 / -------- + ------------------ | \ \/ \/ \/ 91450969 823058721 / \ \/ | \/ \/ 91450969 823058721 | / \ \/ | \/ \/ 91450969 823058721 | / \ \/ \/ \/ 91450969 823058721 /
$$\left(- 500 \sqrt{- \frac{3100}{28689 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}} + 2 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}} + 500 \sqrt{- 2 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}} + \frac{3100}{28689 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}} + \frac{2000}{9563 \sqrt{- \frac{3100}{28689 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}} + 2 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}}}}\right) \left(500 \sqrt{- \frac{3100}{28689 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}} + 2 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}} - 500 i \sqrt{\left|{- \frac{2000}{9563 \sqrt{- \frac{3100}{28689 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}} + 2 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}}} - 2 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}} + \frac{3100}{28689 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}}}\right|}\right) \left(500 \sqrt{- \frac{3100}{28689 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}} + 2 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}} + 500 i \sqrt{\left|{- \frac{2000}{9563 \sqrt{- \frac{3100}{28689 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}} + 2 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}}} - 2 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}} + \frac{3100}{28689 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}}}\right|}\right) \left(- 500 \sqrt{- 2 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}} + \frac{3100}{28689 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}} + \frac{2000}{9563 \sqrt{- \frac{3100}{28689 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}} + 2 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}}}} - 500 \sqrt{- \frac{3100}{28689 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}} + 2 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}}\right)$$
=
/ _______________________ 2/3 2/3 _______________________\
| 2/3 3 _______ 3 / ____________ 3 ____________ / ____________\ 6 ___ ___________ 3 ___ 2/3 / ____________\ 5/6 3 ______ ___________ 3 / ____________ |
12500000000000*\3058457572056564*2 - 248131161000*\/ 28689 *\/ 2250 + \/ 1714410498 + 282360083*\/ 1646117442 *\2250 + \/ 1714410498 / + 16008462000*\/ 2 *\/ 857205249 - 282360083*\/ 2 *28689 *\2250 + \/ 1714410498 / - 110280516*3 *\/ 9563 *\/ 571470166 *\/ 2250 + \/ 1714410498 /
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
/ _______________________ _______________________\
| 2/3 6 ___ ___________ 3 _______ 3 / ____________ 5/6 3 ______ ___________ 3 / ____________ |
274352907*\- 859736499*2 - 4500*\/ 2 *\/ 857205249 + 69750*\/ 28689 *\/ 2250 + \/ 1714410498 + 31*3 *\/ 9563 *\/ 571470166 *\/ 2250 + \/ 1714410498 /
$$\frac{12500000000000 \left(- 110280516 \cdot 3^{\frac{5}{6}} \sqrt{571470166} \sqrt[3]{9563} \sqrt[3]{2250 + \sqrt{1714410498}} - 282360083 \sqrt[3]{2} \cdot 28689^{\frac{2}{3}} \left(2250 + \sqrt{1714410498}\right)^{\frac{2}{3}} - 248131161000 \sqrt[3]{28689} \sqrt[3]{2250 + \sqrt{1714410498}} + 282360083 \sqrt[3]{1646117442} \left(2250 + \sqrt{1714410498}\right)^{\frac{2}{3}} + 16008462000 \sqrt[6]{2} \sqrt{857205249} + 3058457572056564 \cdot 2^{\frac{2}{3}}\right)}{274352907 \left(- 859736499 \cdot 2^{\frac{2}{3}} - 4500 \sqrt[6]{2} \sqrt{857205249} + 69750 \sqrt[3]{28689} \sqrt[3]{2250 + \sqrt{1714410498}} + 31 \cdot 3^{\frac{5}{6}} \sqrt{571470166} \sqrt[3]{9563} \sqrt[3]{2250 + \sqrt{1714410498}}\right)}$$
12500000000000*(3058457572056564*2^(2/3) - 248131161000*28689^(1/3)*(2250 + sqrt(1714410498))^(1/3) + 282360083*1646117442^(1/3)*(2250 + sqrt(1714410498))^(2/3) + 16008462000*2^(1/6)*sqrt(857205249) - 282360083*2^(1/3)*28689^(2/3)*(2250 + sqrt(1714410498))^(2/3) - 110280516*3^(5/6)*9563^(1/3)*sqrt(571470166)*(2250 + sqrt(1714410498))^(1/3))/(274352907*(-859736499*2^(2/3) - 4500*2^(1/6)*sqrt(857205249) + 69750*28689^(1/3)*(2250 + sqrt(1714410498))^(1/3) + 31*3^(5/6)*9563^(1/3)*sqrt(571470166)*(2250 + sqrt(1714410498))^(1/3)))
Respuesta rápida
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_____________________________________________________________________________________ ______________________________________________________________________________________________________________________________________________________________________________________________
/ _______________________________ / _______________________________
/ / ____________ / / ____________
/ / 62500 250*\/ 1714410498 3100 / / 62500 250*\/ 1714410498 2000 3100
x1 = - 500* / 2*3 / -------- + ------------------ - ------------------------------------------ + 500* / - 2*3 / -------- + ------------------ + ---------------------------------------------------------------------------------------------------- + ------------------------------------------
/ \/ 91450969 823058721 _______________________________ / \/ 91450969 823058721 _____________________________________________________________________________________ _______________________________
/ / ____________ / / _______________________________ / ____________
/ / 62500 250*\/ 1714410498 / / / ____________ / 62500 250*\/ 1714410498
/ 28689*3 / -------- + ------------------ / / / 62500 250*\/ 1714410498 3100 28689*3 / -------- + ------------------
\/ \/ 91450969 823058721 / 9563* / 2*3 / -------- + ------------------ - ------------------------------------------ \/ 91450969 823058721
/ / \/ 91450969 823058721 _______________________________
/ / / ____________
/ / / 62500 250*\/ 1714410498
/ / 28689*3 / -------- + ------------------
\/ \/ \/ 91450969 823058721
$$x_{1} = - 500 \sqrt{- \frac{3100}{28689 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}} + 2 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}} + 500 \sqrt{- 2 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}} + \frac{3100}{28689 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}} + \frac{2000}{9563 \sqrt{- \frac{3100}{28689 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}} + 2 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}}}}$$
_____________________________________________________________________________________ ________________________________________________________________________________________________________________________________________________________________________________________________
/ _______________________________ / | _______________________________ |
/ / ____________ / | / ____________ |
/ / 62500 250*\/ 1714410498 3100 / | / 62500 250*\/ 1714410498 2000 3100 |
x2 = 500* / 2*3 / -------- + ------------------ - ------------------------------------------ - 500*I* / |- 2*3 / -------- + ------------------ - ---------------------------------------------------------------------------------------------------- + ------------------------------------------|
/ \/ 91450969 823058721 _______________________________ / | \/ 91450969 823058721 _____________________________________________________________________________________ _______________________________|
/ / ____________ / | / _______________________________ / ____________ |
/ / 62500 250*\/ 1714410498 / | / / ____________ / 62500 250*\/ 1714410498 |
/ 28689*3 / -------- + ------------------ / | / / 62500 250*\/ 1714410498 3100 28689*3 / -------- + ------------------ |
\/ \/ 91450969 823058721 / | 9563* / 2*3 / -------- + ------------------ - ------------------------------------------ \/ 91450969 823058721 |
/ | / \/ 91450969 823058721 _______________________________ |
/ | / / ____________ |
/ | / / 62500 250*\/ 1714410498 |
/ | / 28689*3 / -------- + ------------------ |
\/ | \/ \/ 91450969 823058721 |
$$x_{2} = 500 \sqrt{- \frac{3100}{28689 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}} + 2 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}} - 500 i \sqrt{\left|{- \frac{2000}{9563 \sqrt{- \frac{3100}{28689 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}} + 2 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}}} - 2 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}} + \frac{3100}{28689 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}}}\right|}$$
_____________________________________________________________________________________ ________________________________________________________________________________________________________________________________________________________________________________________________
/ _______________________________ / | _______________________________ |
/ / ____________ / | / ____________ |
/ / 62500 250*\/ 1714410498 3100 / | / 62500 250*\/ 1714410498 2000 3100 |
x3 = 500* / 2*3 / -------- + ------------------ - ------------------------------------------ + 500*I* / |- 2*3 / -------- + ------------------ - ---------------------------------------------------------------------------------------------------- + ------------------------------------------|
/ \/ 91450969 823058721 _______________________________ / | \/ 91450969 823058721 _____________________________________________________________________________________ _______________________________|
/ / ____________ / | / _______________________________ / ____________ |
/ / 62500 250*\/ 1714410498 / | / / ____________ / 62500 250*\/ 1714410498 |
/ 28689*3 / -------- + ------------------ / | / / 62500 250*\/ 1714410498 3100 28689*3 / -------- + ------------------ |
\/ \/ 91450969 823058721 / | 9563* / 2*3 / -------- + ------------------ - ------------------------------------------ \/ 91450969 823058721 |
/ | / \/ 91450969 823058721 _______________________________ |
/ | / / ____________ |
/ | / / 62500 250*\/ 1714410498 |
/ | / 28689*3 / -------- + ------------------ |
\/ | \/ \/ 91450969 823058721 |
$$x_{3} = 500 \sqrt{- \frac{3100}{28689 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}} + 2 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}} + 500 i \sqrt{\left|{- \frac{2000}{9563 \sqrt{- \frac{3100}{28689 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}} + 2 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}}} - 2 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}} + \frac{3100}{28689 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}}}\right|}$$
_____________________________________________________________________________________ ______________________________________________________________________________________________________________________________________________________________________________________________
/ _______________________________ / _______________________________
/ / ____________ / / ____________
/ / 62500 250*\/ 1714410498 3100 / / 62500 250*\/ 1714410498 2000 3100
x4 = - 500* / 2*3 / -------- + ------------------ - ------------------------------------------ - 500* / - 2*3 / -------- + ------------------ + ---------------------------------------------------------------------------------------------------- + ------------------------------------------
/ \/ 91450969 823058721 _______________________________ / \/ 91450969 823058721 _____________________________________________________________________________________ _______________________________
/ / ____________ / / _______________________________ / ____________
/ / 62500 250*\/ 1714410498 / / / ____________ / 62500 250*\/ 1714410498
/ 28689*3 / -------- + ------------------ / / / 62500 250*\/ 1714410498 3100 28689*3 / -------- + ------------------
\/ \/ 91450969 823058721 / 9563* / 2*3 / -------- + ------------------ - ------------------------------------------ \/ 91450969 823058721
/ / \/ 91450969 823058721 _______________________________
/ / / ____________
/ / / 62500 250*\/ 1714410498
/ / 28689*3 / -------- + ------------------
\/ \/ \/ 91450969 823058721
$$x_{4} = - 500 \sqrt{- 2 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}} + \frac{3100}{28689 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}} + \frac{2000}{9563 \sqrt{- \frac{3100}{28689 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}} + 2 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}}}} - 500 \sqrt{- \frac{3100}{28689 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}} + 2 \sqrt[3]{\frac{62500}{91450969} + \frac{250 \sqrt{1714410498}}{823058721}}}$$
x4 = -500*sqrt(-2*(62500/91450969 + 250*sqrt(1714410498)/823058721)^(1/3) + 3100/(28689*(62500/91450969 + 250*sqrt(1714410498)/823058721)^(1/3)) + 2000/(9563*sqrt(-3100/(28689*(62500/91450969 + 250*sqrt(1714410498)/823058721)^(1/3)) + 2*(62500/91450969 + 250*sqrt(1714410498)/823058721)^(1/3)))) - 500*sqrt(-3100/(28689*(62500/91450969 + 250*sqrt(1714410498)/823058721)^(1/3)) + 2*(62500/91450969 + 250*sqrt(1714410498)/823058721)^(1/3))
Respuesta numérica
[src]
x1 = 64.9205080283836 + 637.885783632976*i
x2 = -696.164461057424
x3 = 64.9205080283836 - 637.885783632976*i
x4 = 566.323445000657
x4 = 566.323445000657