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- La ecuación:
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Ecuación x^3-x^2-x-1=0
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Ecuación 3x-2(3x+4)=10
-
Ecuación 12-4(x-3)=39-9x
-
Ecuación 0,2x+2,7=1,4-1,1x
- Expresar {x} en función de y en la ecuación:
- -11*x-3*y=14
- 2*x-15*y=-1
- -18*x-6*y=-1
- 6*x+9*y=-9
-
Expresiones idénticas
- sqrtx^ tres + cuatro *x^ dos - nueve *x- tres =x
- raíz cuadrada de x al cubo más 4 multiplicar por x al cuadrado menos 9 multiplicar por x menos 3 es igual a x
- raíz cuadrada de x en el grado tres más cuatro multiplicar por x en el grado dos menos nueve multiplicar por x menos tres es igual a x
- √x^3+4*x^2-9*x-3=x
- sqrtx3+4*x2-9*x-3=x
- sqrtx³+4*x²-9*x-3=x
- sqrtx en el grado 3+4*x en el grado 2-9*x-3=x
- sqrtx^3+4x^2-9x-3=x
- sqrtx3+4x2-9x-3=x
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Expresiones semejantes
- sqrtx^3+4*x^2+9*x-3=x
- sqrtx^3+4*x^2-9*x+3=x
- sqrtx^3-4*x^2-9*x-3=x
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Expresiones con funciones
- sqrtx
- sqrtx=sqrt-x
- sqrtx-2x+15=0
- sqrtx^2+4x+5=4x-8
- sqrtx^log5(x-1)=5
- sqrtx+!13=7-x
sqrtx^3+4*x^2-9*x-3=x la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
3 ___ 2 \/ x + 4*x - 9*x - 3 = x
$$\left(- 9 x + \left(\left(\sqrt{x}\right)^{3} + 4 x^{2}\right)\right) - 3 = x$$
Respuesta rápida
[src]
_________________________________________________________________________________________________________________________________________________________________________
/ _______________________
/ / _________
/ 9955 / 6563747 \/ 1423217 5521 14577
/ ---- - 2*3 / ------- + ----------- - --------------------------------- + -------------------------------------------------------------------------------------------
___________________________________________________________________________ / 1536 \/ 1769472 65536 _______________________ ___________________________________________________________________________
/ _______________________ / / _________ / _______________________
/ / _________ / / 6563747 \/ 1423217 / / _________
/ 9955 / 6563747 \/ 1423217 5521 / 1152*3 / ------- + ----------- / 9955 / 6563747 \/ 1423217 5521
/ ---- + 2*3 / ------- + ----------- + --------------------------------- / \/ 1769472 65536 16384* / ---- + 2*3 / ------- + ----------- + ---------------------------------
/ 3072 \/ 1769472 65536 _______________________ / / 3072 \/ 1769472 65536 _______________________
/ / _________ / / / _________
/ / 6563747 \/ 1423217 / / / 6563747 \/ 1423217
/ 1152*3 / ------- + ----------- / / 1152*3 / ------- + -----------
81 \/ \/ 1769472 65536 \/ \/ \/ 1769472 65536
x1 = -- + ------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
64 2 2
$$x_{1} = - \frac{\sqrt{- 2 \sqrt[3]{\frac{\sqrt{1423217}}{65536} + \frac{6563747}{1769472}} - \frac{5521}{1152 \sqrt[3]{\frac{\sqrt{1423217}}{65536} + \frac{6563747}{1769472}}} + \frac{14577}{16384 \sqrt{\frac{5521}{1152 \sqrt[3]{\frac{\sqrt{1423217}}{65536} + \frac{6563747}{1769472}}} + 2 \sqrt[3]{\frac{\sqrt{1423217}}{65536} + \frac{6563747}{1769472}} + \frac{9955}{3072}}} + \frac{9955}{1536}}}{2} + \frac{81}{64} + \frac{\sqrt{\frac{5521}{1152 \sqrt[3]{\frac{\sqrt{1423217}}{65536} + \frac{6563747}{1769472}}} + 2 \sqrt[3]{\frac{\sqrt{1423217}}{65536} + \frac{6563747}{1769472}} + \frac{9955}{3072}}}{2}$$
x1 = -sqrt(-2*(sqrt(1423217)/65536 + 6563747/1769472)^(1/3) - 5521/(1152*(sqrt(1423217)/65536 + 6563747/1769472)^(1/3)) + 14577/(16384*sqrt(5521/(1152*(sqrt(1423217)/65536 + 6563747/1769472)^(1/3)) + 2*(sqrt(1423217)/65536 + 6563747/1769472)^(1/3) + 9955/3072)) + 9955/1536)/2 + 81/64 + sqrt(5521/(1152*(sqrt(1423217)/65536 + 6563747/1769472)^(1/3)) + 2*(sqrt(1423217)/65536 + 6563747/1769472)^(1/3) + 9955/3072)/2
Suma y producto de raíces
[src]
suma
_________________________________________________________________________________________________________________________________________________________________________
/ _______________________
/ / _________
/ 9955 / 6563747 \/ 1423217 5521 14577
/ ---- - 2*3 / ------- + ----------- - --------------------------------- + -------------------------------------------------------------------------------------------
___________________________________________________________________________ / 1536 \/ 1769472 65536 _______________________ ___________________________________________________________________________
/ _______________________ / / _________ / _______________________
/ / _________ / / 6563747 \/ 1423217 / / _________
/ 9955 / 6563747 \/ 1423217 5521 / 1152*3 / ------- + ----------- / 9955 / 6563747 \/ 1423217 5521
/ ---- + 2*3 / ------- + ----------- + --------------------------------- / \/ 1769472 65536 16384* / ---- + 2*3 / ------- + ----------- + ---------------------------------
/ 3072 \/ 1769472 65536 _______________________ / / 3072 \/ 1769472 65536 _______________________
/ / _________ / / / _________
/ / 6563747 \/ 1423217 / / / 6563747 \/ 1423217
/ 1152*3 / ------- + ----------- / / 1152*3 / ------- + -----------
81 \/ \/ 1769472 65536 \/ \/ \/ 1769472 65536
-- + ------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
64 2 2
$$- \frac{\sqrt{- 2 \sqrt[3]{\frac{\sqrt{1423217}}{65536} + \frac{6563747}{1769472}} - \frac{5521}{1152 \sqrt[3]{\frac{\sqrt{1423217}}{65536} + \frac{6563747}{1769472}}} + \frac{14577}{16384 \sqrt{\frac{5521}{1152 \sqrt[3]{\frac{\sqrt{1423217}}{65536} + \frac{6563747}{1769472}}} + 2 \sqrt[3]{\frac{\sqrt{1423217}}{65536} + \frac{6563747}{1769472}} + \frac{9955}{3072}}} + \frac{9955}{1536}}}{2} + \frac{81}{64} + \frac{\sqrt{\frac{5521}{1152 \sqrt[3]{\frac{\sqrt{1423217}}{65536} + \frac{6563747}{1769472}}} + 2 \sqrt[3]{\frac{\sqrt{1423217}}{65536} + \frac{6563747}{1769472}} + \frac{9955}{3072}}}{2}$$
=
_________________________________________________________________________________________________________________________________________________________________________
/ _______________________
/ / _________
/ 9955 / 6563747 \/ 1423217 5521 14577
/ ---- - 2*3 / ------- + ----------- - --------------------------------- + -------------------------------------------------------------------------------------------
___________________________________________________________________________ / 1536 \/ 1769472 65536 _______________________ ___________________________________________________________________________
/ _______________________ / / _________ / _______________________
/ / _________ / / 6563747 \/ 1423217 / / _________
/ 9955 / 6563747 \/ 1423217 5521 / 1152*3 / ------- + ----------- / 9955 / 6563747 \/ 1423217 5521
/ ---- + 2*3 / ------- + ----------- + --------------------------------- / \/ 1769472 65536 16384* / ---- + 2*3 / ------- + ----------- + ---------------------------------
/ 3072 \/ 1769472 65536 _______________________ / / 3072 \/ 1769472 65536 _______________________
/ / _________ / / / _________
/ / 6563747 \/ 1423217 / / / 6563747 \/ 1423217
/ 1152*3 / ------- + ----------- / / 1152*3 / ------- + -----------
81 \/ \/ 1769472 65536 \/ \/ \/ 1769472 65536
-- + ------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
64 2 2
$$- \frac{\sqrt{- 2 \sqrt[3]{\frac{\sqrt{1423217}}{65536} + \frac{6563747}{1769472}} - \frac{5521}{1152 \sqrt[3]{\frac{\sqrt{1423217}}{65536} + \frac{6563747}{1769472}}} + \frac{14577}{16384 \sqrt{\frac{5521}{1152 \sqrt[3]{\frac{\sqrt{1423217}}{65536} + \frac{6563747}{1769472}}} + 2 \sqrt[3]{\frac{\sqrt{1423217}}{65536} + \frac{6563747}{1769472}} + \frac{9955}{3072}}} + \frac{9955}{1536}}}{2} + \frac{81}{64} + \frac{\sqrt{\frac{5521}{1152 \sqrt[3]{\frac{\sqrt{1423217}}{65536} + \frac{6563747}{1769472}}} + 2 \sqrt[3]{\frac{\sqrt{1423217}}{65536} + \frac{6563747}{1769472}} + \frac{9955}{3072}}}{2}$$
producto
_________________________________________________________________________________________________________________________________________________________________________
/ _______________________
/ / _________
/ 9955 / 6563747 \/ 1423217 5521 14577
/ ---- - 2*3 / ------- + ----------- - --------------------------------- + -------------------------------------------------------------------------------------------
___________________________________________________________________________ / 1536 \/ 1769472 65536 _______________________ ___________________________________________________________________________
/ _______________________ / / _________ / _______________________
/ / _________ / / 6563747 \/ 1423217 / / _________
/ 9955 / 6563747 \/ 1423217 5521 / 1152*3 / ------- + ----------- / 9955 / 6563747 \/ 1423217 5521
/ ---- + 2*3 / ------- + ----------- + --------------------------------- / \/ 1769472 65536 16384* / ---- + 2*3 / ------- + ----------- + ---------------------------------
/ 3072 \/ 1769472 65536 _______________________ / / 3072 \/ 1769472 65536 _______________________
/ / _________ / / / _________
/ / 6563747 \/ 1423217 / / / 6563747 \/ 1423217
/ 1152*3 / ------- + ----------- / / 1152*3 / ------- + -----------
81 \/ \/ 1769472 65536 \/ \/ \/ 1769472 65536
-- + ------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
64 2 2
$$- \frac{\sqrt{- 2 \sqrt[3]{\frac{\sqrt{1423217}}{65536} + \frac{6563747}{1769472}} - \frac{5521}{1152 \sqrt[3]{\frac{\sqrt{1423217}}{65536} + \frac{6563747}{1769472}}} + \frac{14577}{16384 \sqrt{\frac{5521}{1152 \sqrt[3]{\frac{\sqrt{1423217}}{65536} + \frac{6563747}{1769472}}} + 2 \sqrt[3]{\frac{\sqrt{1423217}}{65536} + \frac{6563747}{1769472}} + \frac{9955}{3072}}} + \frac{9955}{1536}}}{2} + \frac{81}{64} + \frac{\sqrt{\frac{5521}{1152 \sqrt[3]{\frac{\sqrt{1423217}}{65536} + \frac{6563747}{1769472}}} + 2 \sqrt[3]{\frac{\sqrt{1423217}}{65536} + \frac{6563747}{1769472}} + \frac{9955}{3072}}}{2}$$
=
_________________________________________________________________________________________________________________________________________________________________________
/ _______________________
/ / _________
/ 9955 / 6563747 \/ 1423217 5521 14577
/ ---- - 2*3 / ------- + ----------- - --------------------------------- + -------------------------------------------------------------------------------------------
___________________________________________________________________________ / 1536 \/ 1769472 65536 _______________________ ___________________________________________________________________________
/ _______________________ / / _________ / _______________________
/ / _________ / / 6563747 \/ 1423217 / / _________
/ 9955 / 6563747 \/ 1423217 5521 / 1152*3 / ------- + ----------- / 9955 / 6563747 \/ 1423217 5521
/ ---- + 2*3 / ------- + ----------- + --------------------------------- / \/ 1769472 65536 16384* / ---- + 2*3 / ------- + ----------- + ---------------------------------
/ 3072 \/ 1769472 65536 _______________________ / / 3072 \/ 1769472 65536 _______________________
/ / _________ / / / _________
/ / 6563747 \/ 1423217 / / / 6563747 \/ 1423217
/ 1152*3 / ------- + ----------- / / 1152*3 / ------- + -----------
81 \/ \/ 1769472 65536 \/ \/ \/ 1769472 65536
-- + ------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
64 2 2
$$- \frac{\sqrt{- 2 \sqrt[3]{\frac{\sqrt{1423217}}{65536} + \frac{6563747}{1769472}} - \frac{5521}{1152 \sqrt[3]{\frac{\sqrt{1423217}}{65536} + \frac{6563747}{1769472}}} + \frac{14577}{16384 \sqrt{\frac{5521}{1152 \sqrt[3]{\frac{\sqrt{1423217}}{65536} + \frac{6563747}{1769472}}} + 2 \sqrt[3]{\frac{\sqrt{1423217}}{65536} + \frac{6563747}{1769472}} + \frac{9955}{3072}}} + \frac{9955}{1536}}}{2} + \frac{81}{64} + \frac{\sqrt{\frac{5521}{1152 \sqrt[3]{\frac{\sqrt{1423217}}{65536} + \frac{6563747}{1769472}}} + 2 \sqrt[3]{\frac{\sqrt{1423217}}{65536} + \frac{6563747}{1769472}} + \frac{9955}{3072}}}{2}$$
81/64 + sqrt(9955/3072 + 2*(6563747/1769472 + sqrt(1423217)/65536)^(1/3) + 5521/(1152*(6563747/1769472 + sqrt(1423217)/65536)^(1/3)))/2 - sqrt(9955/1536 - 2*(6563747/1769472 + sqrt(1423217)/65536)^(1/3) - 5521/(1152*(6563747/1769472 + sqrt(1423217)/65536)^(1/3)) + 14577/(16384*sqrt(9955/3072 + 2*(6563747/1769472 + sqrt(1423217)/65536)^(1/3) + 5521/(1152*(6563747/1769472 + sqrt(1423217)/65536)^(1/3)))))/2