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Ecuación 5*x^2+2*x-7=0
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Ecuación 12,4-x=16
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Ecuación x+120=40*5
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Ecuación y(0)=1
- Expresar {x} en función de y en la ecuación:
- -18*x-8*y=-18
- -13*x+12*y=-19
- -1*x+11*y=-9
- 16*x-11*y=13
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Expresiones idénticas
- sqrt(x)+sqrt(x)^ cuatro - seis = cero
- raíz cuadrada de (x) más raíz cuadrada de (x) en el grado 4 menos 6 es igual a 0
- raíz cuadrada de (x) más raíz cuadrada de (x) en el grado cuatro menos seis es igual a cero
- √(x)+√(x)^4-6=0
- sqrt(x)+sqrt(x)4-6=0
- sqrtx+sqrtx4-6=0
- sqrt(x)+sqrt(x)⁴-6=0
- sqrtx+sqrtx^4-6=0
- sqrt(x)+sqrt(x)^4-6=O
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Expresiones semejantes
- sqrt(x)-sqrt(x)^4-6=0
- sqrt(x)+sqrt(x)^4+6=0
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Expresiones con funciones
- Raíz cuadrada sqrt
- sqrt((4*x)^3-x^4)=0
- sqrt(-5/(2x-3))=1/9
- SQRT(16-x^2)⋅sin3x=0
- sqrt(1-y^2)+sqrt(1-x^2)y=0
- sqrt(x-3)+x=20/x
- Raíz cuadrada sqrt
- sqrt((4*x)^3-x^4)=0
- sqrt(-5/(2x-3))=1/9
- SQRT(16-x^2)⋅sin3x=0
- sqrt(1-y^2)+sqrt(1-x^2)y=0
- sqrt(x-3)+x=20/x
sqrt(x)+sqrt(x)^4-6=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
4 ___ ___ \/ x + \/ x - 6 = 0
$$\left(\left(\sqrt{x}\right)^{4} + \sqrt{x}\right) - 6 = 0$$
Respuesta rápida
[src]
____________________________________________________________________________________________________________________________
/ _________________
/ / ______
/ 32 / 1025 \/ 2049 2
/ 16 - ---------------------- - 2*3 / ---- + -------- + -----------------------------------------------------------------
_______________________________________________________ / _________________ \/ 16 16 _______________________________________________________
/ _________________ / / ______ / _________________
/ / ______ / / 1025 \/ 2049 / / ______
/ / 1025 \/ 2049 32 / 3 / ---- + -------- / / 1025 \/ 2049 32
/ 8 + 2*3 / ---- + -------- + ---------------------- / \/ 16 16 / 8 + 2*3 / ---- + -------- + ----------------------
/ \/ 16 16 _________________ / / \/ 16 16 _________________
/ / ______ / / / ______
/ / 1025 \/ 2049 / / / 1025 \/ 2049
/ 3 / ---- + -------- / / 3 / ---- + --------
\/ \/ 16 16 \/ \/ \/ 16 16
x1 = ----------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------
2 2
$$x_{1} = - \frac{\sqrt{- 2 \sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}} - \frac{32}{\sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}}} + \frac{2}{\sqrt{\frac{32}{\sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}}} + 8 + 2 \sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}}}} + 16}}{2} + \frac{\sqrt{\frac{32}{\sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}}} + 8 + 2 \sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}}}}{2}$$
_____________________________________________________________________________________________________________________________
/ _________________
/ / ______
/ / 1025 \/ 2049 2 32
I* / -16 + 2*3 / ---- + -------- + ----------------------------------------------------------------- + ----------------------
_______________________________________________________ / \/ 16 16 _______________________________________________________ _________________
/ _________________ / / _________________ / ______
/ / ______ / / / ______ / 1025 \/ 2049
/ / 1025 \/ 2049 32 / / / 1025 \/ 2049 32 3 / ---- + --------
/ 8 + 2*3 / ---- + -------- + ---------------------- / / 8 + 2*3 / ---- + -------- + ---------------------- \/ 16 16
/ \/ 16 16 _________________ / / \/ 16 16 _________________
/ / ______ / / / ______
/ / 1025 \/ 2049 / / / 1025 \/ 2049
/ 3 / ---- + -------- / / 3 / ---- + --------
\/ \/ 16 16 \/ \/ \/ 16 16
x2 = - ----------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------
2 2
$$x_{2} = - \frac{\sqrt{\frac{32}{\sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}}} + 8 + 2 \sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}}}}{2} - \frac{i \sqrt{-16 + \frac{2}{\sqrt{\frac{32}{\sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}}} + 8 + 2 \sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}}}} + \frac{32}{\sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}}} + 2 \sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}}}}{2}$$
_____________________________________________________________________________________________________________________________
/ _________________
/ / ______
/ / 1025 \/ 2049 2 32
I* / -16 + 2*3 / ---- + -------- + ----------------------------------------------------------------- + ----------------------
_______________________________________________________ / \/ 16 16 _______________________________________________________ _________________
/ _________________ / / _________________ / ______
/ / ______ / / / ______ / 1025 \/ 2049
/ / 1025 \/ 2049 32 / / / 1025 \/ 2049 32 3 / ---- + --------
/ 8 + 2*3 / ---- + -------- + ---------------------- / / 8 + 2*3 / ---- + -------- + ---------------------- \/ 16 16
/ \/ 16 16 _________________ / / \/ 16 16 _________________
/ / ______ / / / ______
/ / 1025 \/ 2049 / / / 1025 \/ 2049
/ 3 / ---- + -------- / / 3 / ---- + --------
\/ \/ 16 16 \/ \/ \/ 16 16
x3 = - ----------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------
2 2
$$x_{3} = - \frac{\sqrt{\frac{32}{\sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}}} + 8 + 2 \sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}}}}{2} + \frac{i \sqrt{-16 + \frac{2}{\sqrt{\frac{32}{\sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}}} + 8 + 2 \sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}}}} + \frac{32}{\sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}}} + 2 \sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}}}}{2}$$
x3 = -sqrt(32/(sqrt(2049)/16 + 1025/16)^(1/3) + 8 + 2*(sqrt(2049)/16 + 1025/16)^(1/3))/2 + i*sqrt(-16 + 2/sqrt(32/(sqrt(2049)/16 + 1025/16)^(1/3) + 8 + 2*(sqrt(2049)/16 + 1025/16)^(1/3)) + 32/(sqrt(2049)/16 + 1025/16)^(1/3) + 2*(sqrt(2049)/16 + 1025/16)^(1/3))/2
Suma y producto de raíces
[src]
suma
____________________________________________________________________________________________________________________________ _____________________________________________________________________________________________________________________________ _____________________________________________________________________________________________________________________________
/ _________________ / _________________ / _________________
/ / ______ / / ______ / / ______
/ 32 / 1025 \/ 2049 2 / / 1025 \/ 2049 2 32 / / 1025 \/ 2049 2 32
/ 16 - ---------------------- - 2*3 / ---- + -------- + ----------------------------------------------------------------- I* / -16 + 2*3 / ---- + -------- + ----------------------------------------------------------------- + ---------------------- I* / -16 + 2*3 / ---- + -------- + ----------------------------------------------------------------- + ----------------------
_______________________________________________________ / _________________ \/ 16 16 _______________________________________________________ _______________________________________________________ / \/ 16 16 _______________________________________________________ _________________ _______________________________________________________ / \/ 16 16 _______________________________________________________ _________________
/ _________________ / / ______ / _________________ / _________________ / / _________________ / ______ / _________________ / / _________________ / ______
/ / ______ / / 1025 \/ 2049 / / ______ / / ______ / / / ______ / 1025 \/ 2049 / / ______ / / / ______ / 1025 \/ 2049
/ / 1025 \/ 2049 32 / 3 / ---- + -------- / / 1025 \/ 2049 32 / / 1025 \/ 2049 32 / / / 1025 \/ 2049 32 3 / ---- + -------- / / 1025 \/ 2049 32 / / / 1025 \/ 2049 32 3 / ---- + --------
/ 8 + 2*3 / ---- + -------- + ---------------------- / \/ 16 16 / 8 + 2*3 / ---- + -------- + ---------------------- / 8 + 2*3 / ---- + -------- + ---------------------- / / 8 + 2*3 / ---- + -------- + ---------------------- \/ 16 16 / 8 + 2*3 / ---- + -------- + ---------------------- / / 8 + 2*3 / ---- + -------- + ---------------------- \/ 16 16
/ \/ 16 16 _________________ / / \/ 16 16 _________________ / \/ 16 16 _________________ / / \/ 16 16 _________________ / \/ 16 16 _________________ / / \/ 16 16 _________________
/ / ______ / / / ______ / / ______ / / / ______ / / ______ / / / ______
/ / 1025 \/ 2049 / / / 1025 \/ 2049 / / 1025 \/ 2049 / / / 1025 \/ 2049 / / 1025 \/ 2049 / / / 1025 \/ 2049
/ 3 / ---- + -------- / / 3 / ---- + -------- / 3 / ---- + -------- / / 3 / ---- + -------- / 3 / ---- + -------- / / 3 / ---- + --------
\/ \/ 16 16 \/ \/ \/ 16 16 \/ \/ 16 16 \/ \/ \/ 16 16 \/ \/ 16 16 \/ \/ \/ 16 16
----------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------- + - ----------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------- + - ----------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------
2 2 2 2 2 2
$$\left(\left(- \frac{\sqrt{- 2 \sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}} - \frac{32}{\sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}}} + \frac{2}{\sqrt{\frac{32}{\sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}}} + 8 + 2 \sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}}}} + 16}}{2} + \frac{\sqrt{\frac{32}{\sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}}} + 8 + 2 \sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}}}}{2}\right) + \left(- \frac{\sqrt{\frac{32}{\sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}}} + 8 + 2 \sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}}}}{2} - \frac{i \sqrt{-16 + \frac{2}{\sqrt{\frac{32}{\sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}}} + 8 + 2 \sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}}}} + \frac{32}{\sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}}} + 2 \sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}}}}{2}\right)\right) + \left(- \frac{\sqrt{\frac{32}{\sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}}} + 8 + 2 \sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}}}}{2} + \frac{i \sqrt{-16 + \frac{2}{\sqrt{\frac{32}{\sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}}} + 8 + 2 \sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}}}} + \frac{32}{\sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}}} + 2 \sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}}}}{2}\right)$$
=
____________________________________________________________________________________________________________________________
/ _________________
/ / ______
/ 32 / 1025 \/ 2049 2
/ 16 - ---------------------- - 2*3 / ---- + -------- + -----------------------------------------------------------------
_______________________________________________________ / _________________ \/ 16 16 _______________________________________________________
/ _________________ / / ______ / _________________
/ / ______ / / 1025 \/ 2049 / / ______
/ / 1025 \/ 2049 32 / 3 / ---- + -------- / / 1025 \/ 2049 32
/ 8 + 2*3 / ---- + -------- + ---------------------- / \/ 16 16 / 8 + 2*3 / ---- + -------- + ----------------------
/ \/ 16 16 _________________ / / \/ 16 16 _________________
/ / ______ / / / ______
/ / 1025 \/ 2049 / / / 1025 \/ 2049
/ 3 / ---- + -------- / / 3 / ---- + --------
\/ \/ 16 16 \/ \/ \/ 16 16
- ----------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------
2 2
$$- \frac{\sqrt{\frac{32}{\sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}}} + 8 + 2 \sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}}}}{2} - \frac{\sqrt{- 2 \sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}} - \frac{32}{\sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}}} + \frac{2}{\sqrt{\frac{32}{\sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}}} + 8 + 2 \sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}}}} + 16}}{2}$$
producto
/ ____________________________________________________________________________________________________________________________\ / _____________________________________________________________________________________________________________________________\ / _____________________________________________________________________________________________________________________________\ | / _________________ | | / _________________ | | / _________________ | | / / ______ | | / / ______ | | / / ______ | | / 32 / 1025 \/ 2049 2 | | / / 1025 \/ 2049 2 32 | | / / 1025 \/ 2049 2 32 | | / 16 - ---------------------- - 2*3 / ---- + -------- + ----------------------------------------------------------------- | | I* / -16 + 2*3 / ---- + -------- + ----------------------------------------------------------------- + ---------------------- | | I* / -16 + 2*3 / ---- + -------- + ----------------------------------------------------------------- + ---------------------- | | _______________________________________________________ / _________________ \/ 16 16 _______________________________________________________ | | _______________________________________________________ / \/ 16 16 _______________________________________________________ _________________ | | _______________________________________________________ / \/ 16 16 _______________________________________________________ _________________ | | / _________________ / / ______ / _________________ | | / _________________ / / _________________ / ______ | | / _________________ / / _________________ / ______ | | / / ______ / / 1025 \/ 2049 / / ______ | | / / ______ / / / ______ / 1025 \/ 2049 | | / / ______ / / / ______ / 1025 \/ 2049 | | / / 1025 \/ 2049 32 / 3 / ---- + -------- / / 1025 \/ 2049 32 | | / / 1025 \/ 2049 32 / / / 1025 \/ 2049 32 3 / ---- + -------- | | / / 1025 \/ 2049 32 / / / 1025 \/ 2049 32 3 / ---- + -------- | | / 8 + 2*3 / ---- + -------- + ---------------------- / \/ 16 16 / 8 + 2*3 / ---- + -------- + ---------------------- | | / 8 + 2*3 / ---- + -------- + ---------------------- / / 8 + 2*3 / ---- + -------- + ---------------------- \/ 16 16 | | / 8 + 2*3 / ---- + -------- + ---------------------- / / 8 + 2*3 / ---- + -------- + ---------------------- \/ 16 16 | | / \/ 16 16 _________________ / / \/ 16 16 _________________ | | / \/ 16 16 _________________ / / \/ 16 16 _________________ | | / \/ 16 16 _________________ / / \/ 16 16 _________________ | | / / ______ / / / ______ | | / / ______ / / / ______ | | / / ______ / / / ______ | | / / 1025 \/ 2049 / / / 1025 \/ 2049 | | / / 1025 \/ 2049 / / / 1025 \/ 2049 | | / / 1025 \/ 2049 / / / 1025 \/ 2049 | | / 3 / ---- + -------- / / 3 / ---- + -------- | | / 3 / ---- + -------- / / 3 / ---- + -------- | | / 3 / ---- + -------- / / 3 / ---- + -------- | |\/ \/ 16 16 \/ \/ \/ 16 16 | | \/ \/ 16 16 \/ \/ \/ 16 16 | | \/ \/ 16 16 \/ \/ \/ 16 16 | |----------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------|*|- ----------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------|*|- ----------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------| \ 2 2 / \ 2 2 / \ 2 2 /
$$\left(- \frac{\sqrt{\frac{32}{\sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}}} + 8 + 2 \sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}}}}{2} - \frac{i \sqrt{-16 + \frac{2}{\sqrt{\frac{32}{\sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}}} + 8 + 2 \sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}}}} + \frac{32}{\sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}}} + 2 \sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}}}}{2}\right) \left(- \frac{\sqrt{- 2 \sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}} - \frac{32}{\sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}}} + \frac{2}{\sqrt{\frac{32}{\sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}}} + 8 + 2 \sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}}}} + 16}}{2} + \frac{\sqrt{\frac{32}{\sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}}} + 8 + 2 \sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}}}}{2}\right) \left(- \frac{\sqrt{\frac{32}{\sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}}} + 8 + 2 \sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}}}}{2} + \frac{i \sqrt{-16 + \frac{2}{\sqrt{\frac{32}{\sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}}} + 8 + 2 \sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}}}} + \frac{32}{\sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}}} + 2 \sqrt[3]{\frac{\sqrt{2049}}{16} + \frac{1025}{16}}}}{2}\right)$$
=
/ ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________\ / ___________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________\ / ___________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________\
| 3/4 / ___________________________________________________________________ ___________________________________________________________________ | | 3/4 / ___________________________________________________________________ ___________________________________________________________________ | | 3/4 / ___________________________________________________________________ ___________________________________________________________________ |
|/ _________________ / _________________\\ / / _________________ / _________________\ _________________ _________________ / _________________ / _________________\ / _________________\ | |/ _________________ / _________________\\ / _________________ / _________________ / _________________\ _________________ / _________________ / _________________\ / _________________\ | |/ _________________ / _________________\\ / _________________ / _________________ / _________________\ _________________ / _________________ / _________________\ / _________________\ |
___ || 3 ___ 3 / ______ | 2/3 3 / ______ || / 3 ___ / 3 ___ 3 / ______ | 2/3 3 / ______ | ___ / ______ 3 / ______ / 3 ___ 3 / ______ | 2/3 3 / ______ | | 2/3 3 / ______ | | || 3 ___ 3 / ______ | 2/3 3 / ______ || / ___ / ______ 3 ___ / 3 ___ 3 / ______ | 2/3 3 / ______ | 3 / ______ / 3 ___ 3 / ______ | 2/3 3 / ______ | | 2/3 3 / ______ | | || 3 ___ 3 / ______ | 2/3 3 / ______ || / ___ / ______ 3 ___ / 3 ___ 3 / ______ | 2/3 3 / ______ | 3 / ______ / 3 ___ 3 / ______ | 2/3 3 / ______ | | 2/3 3 / ______ | |
\/ 2 *\\128*\/ 2 + \/ 1025 + \/ 2049 *\16 + 2 *\/ 1025 + \/ 2049 // - \/ - 128*\/ 2 *\/ 128*\/ 2 + \/ 1025 + \/ 2049 *\16 + 2 *\/ 1025 + \/ 2049 / + 4*\/ 2 *\/ 1025 + \/ 2049 + \/ 1025 + \/ 2049 *\/ 128*\/ 2 + \/ 1025 + \/ 2049 *\16 + 2 *\/ 1025 + \/ 2049 / *\32 - 2 *\/ 1025 + \/ 2049 / /*\\128*\/ 2 + \/ 1025 + \/ 2049 *\16 + 2 *\/ 1025 + \/ 2049 // + I*\/ 4*\/ 2 *\/ 1025 + \/ 2049 + 128*\/ 2 *\/ 128*\/ 2 + \/ 1025 + \/ 2049 *\16 + 2 *\/ 1025 + \/ 2049 / + \/ 1025 + \/ 2049 *\/ 128*\/ 2 + \/ 1025 + \/ 2049 *\16 + 2 *\/ 1025 + \/ 2049 / *\-32 + 2 *\/ 1025 + \/ 2049 / /*\\128*\/ 2 + \/ 1025 + \/ 2049 *\16 + 2 *\/ 1025 + \/ 2049 // - I*\/ 4*\/ 2 *\/ 1025 + \/ 2049 + 128*\/ 2 *\/ 128*\/ 2 + \/ 1025 + \/ 2049 *\16 + 2 *\/ 1025 + \/ 2049 / + \/ 1025 + \/ 2049 *\/ 128*\/ 2 + \/ 1025 + \/ 2049 *\16 + 2 *\/ 1025 + \/ 2049 / *\-32 + 2 *\/ 1025 + \/ 2049 / /
----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
3/4
_________________ / _________________ / _________________\\
/ ______ | 3 ___ 3 / ______ | 2/3 3 / ______ ||
32*\/ 1025 + \/ 2049 *\128*\/ 2 + \/ 1025 + \/ 2049 *\16 + 2 *\/ 1025 + \/ 2049 //
$$\frac{\sqrt{2} \left(\left(128 \sqrt[3]{2} + \left(16 + 2^{\frac{2}{3}} \sqrt[3]{\sqrt{2049} + 1025}\right) \sqrt[3]{\sqrt{2049} + 1025}\right)^{\frac{3}{4}} - i \sqrt{\left(-32 + 2^{\frac{2}{3}} \sqrt[3]{\sqrt{2049} + 1025}\right) \sqrt{128 \sqrt[3]{2} + \left(16 + 2^{\frac{2}{3}} \sqrt[3]{\sqrt{2049} + 1025}\right) \sqrt[3]{\sqrt{2049} + 1025}} \sqrt[3]{\sqrt{2049} + 1025} + 4 \sqrt{2} \sqrt{\sqrt{2049} + 1025} + 128 \sqrt[3]{2} \sqrt{128 \sqrt[3]{2} + \left(16 + 2^{\frac{2}{3}} \sqrt[3]{\sqrt{2049} + 1025}\right) \sqrt[3]{\sqrt{2049} + 1025}}}\right) \left(\left(128 \sqrt[3]{2} + \left(16 + 2^{\frac{2}{3}} \sqrt[3]{\sqrt{2049} + 1025}\right) \sqrt[3]{\sqrt{2049} + 1025}\right)^{\frac{3}{4}} + i \sqrt{\left(-32 + 2^{\frac{2}{3}} \sqrt[3]{\sqrt{2049} + 1025}\right) \sqrt{128 \sqrt[3]{2} + \left(16 + 2^{\frac{2}{3}} \sqrt[3]{\sqrt{2049} + 1025}\right) \sqrt[3]{\sqrt{2049} + 1025}} \sqrt[3]{\sqrt{2049} + 1025} + 4 \sqrt{2} \sqrt{\sqrt{2049} + 1025} + 128 \sqrt[3]{2} \sqrt{128 \sqrt[3]{2} + \left(16 + 2^{\frac{2}{3}} \sqrt[3]{\sqrt{2049} + 1025}\right) \sqrt[3]{\sqrt{2049} + 1025}}}\right) \left(- \sqrt{- 128 \sqrt[3]{2} \sqrt{128 \sqrt[3]{2} + \left(16 + 2^{\frac{2}{3}} \sqrt[3]{\sqrt{2049} + 1025}\right) \sqrt[3]{\sqrt{2049} + 1025}} + 4 \sqrt{2} \sqrt{\sqrt{2049} + 1025} + \sqrt{128 \sqrt[3]{2} + \left(16 + 2^{\frac{2}{3}} \sqrt[3]{\sqrt{2049} + 1025}\right) \sqrt[3]{\sqrt{2049} + 1025}} \sqrt[3]{\sqrt{2049} + 1025} \left(- 2^{\frac{2}{3}} \sqrt[3]{\sqrt{2049} + 1025} + 32\right)} + \left(128 \sqrt[3]{2} + \left(16 + 2^{\frac{2}{3}} \sqrt[3]{\sqrt{2049} + 1025}\right) \sqrt[3]{\sqrt{2049} + 1025}\right)^{\frac{3}{4}}\right)}{32 \left(128 \sqrt[3]{2} + \left(16 + 2^{\frac{2}{3}} \sqrt[3]{\sqrt{2049} + 1025}\right) \sqrt[3]{\sqrt{2049} + 1025}\right)^{\frac{3}{4}} \sqrt{\sqrt{2049} + 1025}}$$
sqrt(2)*((128*2^(1/3) + (1025 + sqrt(2049))^(1/3)*(16 + 2^(2/3)*(1025 + sqrt(2049))^(1/3)))^(3/4) - sqrt(-128*2^(1/3)*sqrt(128*2^(1/3) + (1025 + sqrt(2049))^(1/3)*(16 + 2^(2/3)*(1025 + sqrt(2049))^(1/3))) + 4*sqrt(2)*sqrt(1025 + sqrt(2049)) + (1025 + sqrt(2049))^(1/3)*sqrt(128*2^(1/3) + (1025 + sqrt(2049))^(1/3)*(16 + 2^(2/3)*(1025 + sqrt(2049))^(1/3)))*(32 - 2^(2/3)*(1025 + sqrt(2049))^(1/3))))*((128*2^(1/3) + (1025 + sqrt(2049))^(1/3)*(16 + 2^(2/3)*(1025 + sqrt(2049))^(1/3)))^(3/4) + i*sqrt(4*sqrt(2)*sqrt(1025 + sqrt(2049)) + 128*2^(1/3)*sqrt(128*2^(1/3) + (1025 + sqrt(2049))^(1/3)*(16 + 2^(2/3)*(1025 + sqrt(2049))^(1/3))) + (1025 + sqrt(2049))^(1/3)*sqrt(128*2^(1/3) + (1025 + sqrt(2049))^(1/3)*(16 + 2^(2/3)*(1025 + sqrt(2049))^(1/3)))*(-32 + 2^(2/3)*(1025 + sqrt(2049))^(1/3))))*((128*2^(1/3) + (1025 + sqrt(2049))^(1/3)*(16 + 2^(2/3)*(1025 + sqrt(2049))^(1/3)))^(3/4) - i*sqrt(4*sqrt(2)*sqrt(1025 + sqrt(2049)) + 128*2^(1/3)*sqrt(128*2^(1/3) + (1025 + sqrt(2049))^(1/3)*(16 + 2^(2/3)*(1025 + sqrt(2049))^(1/3))) + (1025 + sqrt(2049))^(1/3)*sqrt(128*2^(1/3) + (1025 + sqrt(2049))^(1/3)*(16 + 2^(2/3)*(1025 + sqrt(2049))^(1/3)))*(-32 + 2^(2/3)*(1025 + sqrt(2049))^(1/3))))/(32*sqrt(1025 + sqrt(2049))*(128*2^(1/3) + (1025 + sqrt(2049))^(1/3)*(16 + 2^(2/3)*(1025 + sqrt(2049))^(1/3)))^(3/4))
Respuesta numérica
[src]
x1 = -2.44957832391624 - 0.320144259466246*i
x2 = -2.44957832391624 + 0.320144259466246*i
x3 = 2.1307924759421
x3 = 2.1307924759421