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- La ecuación:
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Ecuación 2x^2-x-1=x^2-5x-(-1-x^2)
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Ecuación x(x^2+2x+1)=6(x+1)
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Ecuación 4x+1=-3x+15
- Ecuación (3x−36)⋅(x+8)=0
- Expresar {x} en función de y en la ecuación:
- -6*x-20*y=8
- 13*x-12*y=19
- -9*x+11*y=9
- -4*x-8*y=-20
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Expresiones idénticas
- uno . cuatro * mil /(x^ tres)+ cero . cuarenta y tres *(mil ^(dos / tres))/(x^ dos)+ cero . once *(mil ^(uno / tres))/x= setenta mil
- 1.4 multiplicar por 1000 dividir por (x al cubo ) más 0.43 multiplicar por (1000 en el grado (2 dividir por 3)) dividir por (x al cuadrado ) más 0.11 multiplicar por (1000 en el grado (1 dividir por 3)) dividir por x es igual a 70000
- uno . cuatro multiplicar por mil dividir por (x en el grado tres) más cero . cuarenta y tres multiplicar por (mil en el grado (dos dividir por tres)) dividir por (x en el grado dos) más cero . once multiplicar por (mil en el grado (uno dividir por tres)) dividir por x es igual a setenta mil
- 1.4*1000/(x3)+0.43*(1000(2/3))/(x2)+0.11*(1000(1/3))/x=70000
- 1.4*1000/x3+0.43*10002/3/x2+0.11*10001/3/x=70000
- 1.4*1000/(x³)+0.43*(1000^(2/3))/(x²)+0.11*(1000^(1/3))/x=70000
- 1.4*1000/(x en el grado 3)+0.43*(1000 en el grado (2/3))/(x en el grado 2)+0.11*(1000 en el grado (1/3))/x=70000
- 1.41000/(x^3)+0.43(1000^(2/3))/(x^2)+0.11(1000^(1/3))/x=70000
- 1.41000/(x3)+0.43(1000(2/3))/(x2)+0.11(1000(1/3))/x=70000
- 1.41000/x3+0.4310002/3/x2+0.1110001/3/x=70000
- 1.41000/x^3+0.431000^2/3/x^2+0.111000^1/3/x=70000
- 1.4*1000 dividir por (x^3)+0.43*(1000^(2 dividir por 3)) dividir por (x^2)+0.11*(1000^(1 dividir por 3)) dividir por x=70000
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Expresiones semejantes
- 1.4*1000/(x^3)-0.43*(1000^(2/3))/(x^2)+0.11*(1000^(1/3))/x=70000
- 1.4*1000/(x^3)+0.43*(1000^(2/3))/(x^2)-0.11*(1000^(1/3))/x=70000
1.4*1000/(x^3)+0.43*(1000^(2/3))/(x^2)+0.11*(1000^(1/3))/x=70000 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Respuesta rápida
[src]
________________________________________________ / ________________________________________________ \
/ ______________________ | / ______________________ |
/ 92610014899501331 \/ 77792418352573564893 | ___ / 92610014899501331 \/ 77792418352573564893 |
3 / ------------------- + ------------------------ | \/ 3 *3 / ------------------- + ------------------------ ___ |
11 903000121 \/ 9261000000000000000 882000000000 | \/ 9261000000000000000 882000000000 903000121*\/ 3 |
x1 = ------- - ------------------------------------------------------------------- - ----------------------------------------------------- + I*|- ----------------------------------------------------------- + -------------------------------------------------------------------|
2100000 ________________________________________________ 2 | 2 ________________________________________________|
/ ______________________ | / ______________________ |
/ 92610014899501331 \/ 77792418352573564893 | / 92610014899501331 \/ 77792418352573564893 |
8820000000000*3 / ------------------- + ------------------------ | 8820000000000*3 / ------------------- + ------------------------ |
\/ 9261000000000000000 882000000000 \ \/ 9261000000000000000 882000000000 /
$$x_{1} = - \frac{\sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}}{2} - \frac{903000121}{8820000000000 \sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}} + \frac{11}{2100000} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}}{2} + \frac{903000121 \sqrt{3}}{8820000000000 \sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}}\right)$$
________________________________________________ / ________________________________________________ \
/ ______________________ | / ______________________ |
/ 92610014899501331 \/ 77792418352573564893 | ___ / 92610014899501331 \/ 77792418352573564893 |
3 / ------------------- + ------------------------ |\/ 3 *3 / ------------------- + ------------------------ ___ |
11 903000121 \/ 9261000000000000000 882000000000 | \/ 9261000000000000000 882000000000 903000121*\/ 3 |
x2 = ------- - ------------------------------------------------------------------- - ----------------------------------------------------- + I*|----------------------------------------------------------- - -------------------------------------------------------------------|
2100000 ________________________________________________ 2 | 2 ________________________________________________|
/ ______________________ | / ______________________ |
/ 92610014899501331 \/ 77792418352573564893 | / 92610014899501331 \/ 77792418352573564893 |
8820000000000*3 / ------------------- + ------------------------ | 8820000000000*3 / ------------------- + ------------------------ |
\/ 9261000000000000000 882000000000 \ \/ 9261000000000000000 882000000000 /
$$x_{2} = - \frac{\sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}}{2} - \frac{903000121}{8820000000000 \sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}} + \frac{11}{2100000} + i \left(- \frac{903000121 \sqrt{3}}{8820000000000 \sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}} + \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}}{2}\right)$$
________________________________________________
/ ______________________
11 / 92610014899501331 \/ 77792418352573564893 903000121
x3 = ------- + 3 / ------------------- + ------------------------ + -------------------------------------------------------------------
2100000 \/ 9261000000000000000 882000000000 ________________________________________________
/ ______________________
/ 92610014899501331 \/ 77792418352573564893
4410000000000*3 / ------------------- + ------------------------
\/ 9261000000000000000 882000000000
$$x_{3} = \frac{11}{2100000} + \frac{903000121}{4410000000000 \sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}} + \sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}$$
x3 = 11/2100000 + 903000121/(4410000000000*(sqrt(77792418352573564893)/882000000000 + 92610014899501331/9261000000000000000)^(1/3)) + (sqrt(77792418352573564893)/882000000000 + 92610014899501331/9261000000000000000)^(1/3)
Suma y producto de raíces
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suma
________________________________________________ / ________________________________________________ \ ________________________________________________ / ________________________________________________ \
/ ______________________ | / ______________________ | / ______________________ | / ______________________ |
/ 92610014899501331 \/ 77792418352573564893 | ___ / 92610014899501331 \/ 77792418352573564893 | / 92610014899501331 \/ 77792418352573564893 | ___ / 92610014899501331 \/ 77792418352573564893 | ________________________________________________
3 / ------------------- + ------------------------ | \/ 3 *3 / ------------------- + ------------------------ ___ | 3 / ------------------- + ------------------------ |\/ 3 *3 / ------------------- + ------------------------ ___ | / ______________________
11 903000121 \/ 9261000000000000000 882000000000 | \/ 9261000000000000000 882000000000 903000121*\/ 3 | 11 903000121 \/ 9261000000000000000 882000000000 | \/ 9261000000000000000 882000000000 903000121*\/ 3 | 11 / 92610014899501331 \/ 77792418352573564893 903000121
------- - ------------------------------------------------------------------- - ----------------------------------------------------- + I*|- ----------------------------------------------------------- + -------------------------------------------------------------------| + ------- - ------------------------------------------------------------------- - ----------------------------------------------------- + I*|----------------------------------------------------------- - -------------------------------------------------------------------| + ------- + 3 / ------------------- + ------------------------ + -------------------------------------------------------------------
2100000 ________________________________________________ 2 | 2 ________________________________________________| 2100000 ________________________________________________ 2 | 2 ________________________________________________| 2100000 \/ 9261000000000000000 882000000000 ________________________________________________
/ ______________________ | / ______________________ | / ______________________ | / ______________________ | / ______________________
/ 92610014899501331 \/ 77792418352573564893 | / 92610014899501331 \/ 77792418352573564893 | / 92610014899501331 \/ 77792418352573564893 | / 92610014899501331 \/ 77792418352573564893 | / 92610014899501331 \/ 77792418352573564893
8820000000000*3 / ------------------- + ------------------------ | 8820000000000*3 / ------------------- + ------------------------ | 8820000000000*3 / ------------------- + ------------------------ | 8820000000000*3 / ------------------- + ------------------------ | 4410000000000*3 / ------------------- + ------------------------
\/ 9261000000000000000 882000000000 \ \/ 9261000000000000000 882000000000 / \/ 9261000000000000000 882000000000 \ \/ 9261000000000000000 882000000000 / \/ 9261000000000000000 882000000000
$$\left(\frac{11}{2100000} + \frac{903000121}{4410000000000 \sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}} + \sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}\right) + \left(\left(- \frac{\sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}}{2} - \frac{903000121}{8820000000000 \sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}} + \frac{11}{2100000} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}}{2} + \frac{903000121 \sqrt{3}}{8820000000000 \sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}}\right)\right) + \left(- \frac{\sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}}{2} - \frac{903000121}{8820000000000 \sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}} + \frac{11}{2100000} + i \left(- \frac{903000121 \sqrt{3}}{8820000000000 \sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}} + \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}}{2}\right)\right)\right)$$
=
/ ________________________________________________ \ / ________________________________________________ \
| / ______________________ | | / ______________________ |
| ___ / 92610014899501331 \/ 77792418352573564893 | | ___ / 92610014899501331 \/ 77792418352573564893 |
|\/ 3 *3 / ------------------- + ------------------------ ___ | | \/ 3 *3 / ------------------- + ------------------------ ___ |
11 | \/ 9261000000000000000 882000000000 903000121*\/ 3 | | \/ 9261000000000000000 882000000000 903000121*\/ 3 |
------ + I*|----------------------------------------------------------- - -------------------------------------------------------------------| + I*|- ----------------------------------------------------------- + -------------------------------------------------------------------|
700000 | 2 ________________________________________________| | 2 ________________________________________________|
| / ______________________ | | / ______________________ |
| / 92610014899501331 \/ 77792418352573564893 | | / 92610014899501331 \/ 77792418352573564893 |
| 8820000000000*3 / ------------------- + ------------------------ | | 8820000000000*3 / ------------------- + ------------------------ |
\ \/ 9261000000000000000 882000000000 / \ \/ 9261000000000000000 882000000000 /
$$\frac{11}{700000} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}}{2} + \frac{903000121 \sqrt{3}}{8820000000000 \sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}}\right) + i \left(- \frac{903000121 \sqrt{3}}{8820000000000 \sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}} + \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}}{2}\right)$$
producto
/ ________________________________________________ / ________________________________________________ \\ / ________________________________________________ / ________________________________________________ \\ | / ______________________ | / ______________________ || | / ______________________ | / ______________________ || | / 92610014899501331 \/ 77792418352573564893 | ___ / 92610014899501331 \/ 77792418352573564893 || | / 92610014899501331 \/ 77792418352573564893 | ___ / 92610014899501331 \/ 77792418352573564893 || / ________________________________________________ \ | 3 / ------------------- + ------------------------ | \/ 3 *3 / ------------------- + ------------------------ ___ || | 3 / ------------------- + ------------------------ |\/ 3 *3 / ------------------- + ------------------------ ___ || | / ______________________ | | 11 903000121 \/ 9261000000000000000 882000000000 | \/ 9261000000000000000 882000000000 903000121*\/ 3 || | 11 903000121 \/ 9261000000000000000 882000000000 | \/ 9261000000000000000 882000000000 903000121*\/ 3 || | 11 / 92610014899501331 \/ 77792418352573564893 903000121 | |------- - ------------------------------------------------------------------- - ----------------------------------------------------- + I*|- ----------------------------------------------------------- + -------------------------------------------------------------------||*|------- - ------------------------------------------------------------------- - ----------------------------------------------------- + I*|----------------------------------------------------------- - -------------------------------------------------------------------||*|------- + 3 / ------------------- + ------------------------ + -------------------------------------------------------------------| |2100000 ________________________________________________ 2 | 2 ________________________________________________|| |2100000 ________________________________________________ 2 | 2 ________________________________________________|| |2100000 \/ 9261000000000000000 882000000000 ________________________________________________| | / ______________________ | / ______________________ || | / ______________________ | / ______________________ || | / ______________________ | | / 92610014899501331 \/ 77792418352573564893 | / 92610014899501331 \/ 77792418352573564893 || | / 92610014899501331 \/ 77792418352573564893 | / 92610014899501331 \/ 77792418352573564893 || | / 92610014899501331 \/ 77792418352573564893 | | 8820000000000*3 / ------------------- + ------------------------ | 8820000000000*3 / ------------------- + ------------------------ || | 8820000000000*3 / ------------------- + ------------------------ | 8820000000000*3 / ------------------- + ------------------------ || | 4410000000000*3 / ------------------- + ------------------------ | \ \/ 9261000000000000000 882000000000 \ \/ 9261000000000000000 882000000000 // \ \/ 9261000000000000000 882000000000 \ \/ 9261000000000000000 882000000000 // \ \/ 9261000000000000000 882000000000 /
$$\left(- \frac{\sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}}{2} - \frac{903000121}{8820000000000 \sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}} + \frac{11}{2100000} + i \left(- \frac{903000121 \sqrt{3}}{8820000000000 \sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}} + \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}}{2}\right)\right) \left(- \frac{\sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}}{2} - \frac{903000121}{8820000000000 \sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}} + \frac{11}{2100000} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}}{2} + \frac{903000121 \sqrt{3}}{8820000000000 \sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}}\right)\right) \left(\frac{11}{2100000} + \frac{903000121}{4410000000000 \sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}} + \sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}\right)$$
=
1/50
$$\frac{1}{50}$$
1/50
Respuesta numérica
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x1 = -0.136092823728421 - 0.234422186449728*i
x2 = -0.136092823728421 + 0.234422186449728*i
x3 = 0.272201361742556
x3 = 0.272201361742556