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- La ecuación:
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Ecuación 3*x^2-x+2=0
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Ecuación 1-x/2=x/3
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Ecuación 3*x^2-9=0
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Ecuación 0,084:(6,2-x)=1,2
- Expresar {x} en función de y en la ecuación:
- 4*x-1*y=-3
- -11*x+9*y=-20
- -17*x+2*y=9
- 10*x-15*y=16
- Derivada de:
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x^6
- Límite de la función:
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x^6
- Integral de d{x}:
- x^6
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Expresiones idénticas
- x^ seis =(5x- cuatro)^ tres
- x en el grado 6 es igual a (5x menos 4) al cubo
- x en el grado seis es igual a (5x menos cuatro) en el grado tres
- x6=(5x-4)3
- x6=5x-43
- x⁶=(5x-4)³
- x en el grado 6=(5x-4) en el grado 3
- x^6=5x-4^3
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Expresiones semejantes
- x^6=(5x+4)^3
x^6=(5x-4)^3 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Suma y producto de raíces
[src]
suma
/ / / ___\\\ / / ___\\ / / / ___\\\ / / ___\\ / / / ___\\\ / / ___\\ / / / ___\\\ / / ___\\
| | |41*\/ 3 ||| | |41*\/ 3 || | | |41*\/ 3 ||| | |41*\/ 3 || | | |41*\/ 3 ||| | |41*\/ 3 || | | |41*\/ 3 ||| | |41*\/ 3 ||
| |atan|--------||| |atan|--------|| | |atan|--------||| |atan|--------|| | |atan|--------||| |atan|--------|| | |atan|--------||| |atan|--------||
| 4 ______ | \ 9 /|| 4 ______ | \ 9 /| | 4 ______ | \ 9 /|| 4 ______ | \ 9 /| | 4 ______ | \ 9 /|| 4 ______ | \ 9 /| | 4 ______ | \ 9 /|| 4 ______ | \ 9 /|
| ___ \/ 1281 *cos|--------------|| \/ 1281 *sin|--------------| | ___ \/ 1281 *cos|--------------|| \/ 1281 *sin|--------------| | ___ \/ 1281 *cos|--------------|| \/ 1281 *sin|--------------| | ___ \/ 1281 *cos|--------------|| \/ 1281 *sin|--------------|
5 | 5*\/ 3 \ 2 /| \ 2 / 5 |5*\/ 3 \ 2 /| \ 2 / 5 |5*\/ 3 \ 2 /| \ 2 / 5 | 5*\/ 3 \ 2 /| \ 2 /
1 + 4 + - - + I*|- ------- + ----------------------------| + ---------------------------- + - - + I*|------- + ----------------------------| - ---------------------------- + - - + I*|------- - ----------------------------| + ---------------------------- + - - + I*|- ------- - ----------------------------| - ----------------------------
4 \ 4 2 / 2 4 \ 4 2 / 2 4 \ 4 2 / 2 4 \ 4 2 / 2
$$\left(- \frac{\sqrt[4]{1281} \sin{\left(\frac{\operatorname{atan}{\left(\frac{41 \sqrt{3}}{9} \right)}}{2} \right)}}{2} - \frac{5}{4} + i \left(- \frac{\sqrt[4]{1281} \cos{\left(\frac{\operatorname{atan}{\left(\frac{41 \sqrt{3}}{9} \right)}}{2} \right)}}{2} - \frac{5 \sqrt{3}}{4}\right)\right) + \left(\left(- \frac{5}{4} + \frac{\sqrt[4]{1281} \sin{\left(\frac{\operatorname{atan}{\left(\frac{41 \sqrt{3}}{9} \right)}}{2} \right)}}{2} + i \left(- \frac{\sqrt[4]{1281} \cos{\left(\frac{\operatorname{atan}{\left(\frac{41 \sqrt{3}}{9} \right)}}{2} \right)}}{2} + \frac{5 \sqrt{3}}{4}\right)\right) + \left(\left(\left(1 + 4\right) + \left(- \frac{5}{4} + \frac{\sqrt[4]{1281} \sin{\left(\frac{\operatorname{atan}{\left(\frac{41 \sqrt{3}}{9} \right)}}{2} \right)}}{2} + i \left(- \frac{5 \sqrt{3}}{4} + \frac{\sqrt[4]{1281} \cos{\left(\frac{\operatorname{atan}{\left(\frac{41 \sqrt{3}}{9} \right)}}{2} \right)}}{2}\right)\right)\right) + \left(- \frac{\sqrt[4]{1281} \sin{\left(\frac{\operatorname{atan}{\left(\frac{41 \sqrt{3}}{9} \right)}}{2} \right)}}{2} - \frac{5}{4} + i \left(\frac{5 \sqrt{3}}{4} + \frac{\sqrt[4]{1281} \cos{\left(\frac{\operatorname{atan}{\left(\frac{41 \sqrt{3}}{9} \right)}}{2} \right)}}{2}\right)\right)\right)\right)$$
=
/ / / ___\\\ / / / ___\\\ / / / ___\\\ / / / ___\\\ | | |41*\/ 3 ||| | | |41*\/ 3 ||| | | |41*\/ 3 ||| | | |41*\/ 3 ||| | |atan|--------||| | |atan|--------||| | |atan|--------||| | |atan|--------||| | 4 ______ | \ 9 /|| | 4 ______ | \ 9 /|| | 4 ______ | \ 9 /|| | 4 ______ | \ 9 /|| | ___ \/ 1281 *cos|--------------|| | ___ \/ 1281 *cos|--------------|| | ___ \/ 1281 *cos|--------------|| | ___ \/ 1281 *cos|--------------|| | 5*\/ 3 \ 2 /| | 5*\/ 3 \ 2 /| |5*\/ 3 \ 2 /| |5*\/ 3 \ 2 /| I*|- ------- + ----------------------------| + I*|- ------- - ----------------------------| + I*|------- + ----------------------------| + I*|------- - ----------------------------| \ 4 2 / \ 4 2 / \ 4 2 / \ 4 2 /
$$i \left(- \frac{\sqrt[4]{1281} \cos{\left(\frac{\operatorname{atan}{\left(\frac{41 \sqrt{3}}{9} \right)}}{2} \right)}}{2} - \frac{5 \sqrt{3}}{4}\right) + i \left(- \frac{\sqrt[4]{1281} \cos{\left(\frac{\operatorname{atan}{\left(\frac{41 \sqrt{3}}{9} \right)}}{2} \right)}}{2} + \frac{5 \sqrt{3}}{4}\right) + i \left(- \frac{5 \sqrt{3}}{4} + \frac{\sqrt[4]{1281} \cos{\left(\frac{\operatorname{atan}{\left(\frac{41 \sqrt{3}}{9} \right)}}{2} \right)}}{2}\right) + i \left(\frac{5 \sqrt{3}}{4} + \frac{\sqrt[4]{1281} \cos{\left(\frac{\operatorname{atan}{\left(\frac{41 \sqrt{3}}{9} \right)}}{2} \right)}}{2}\right)$$
producto
/ / / / ___\\\ / / ___\\\ / / / / ___\\\ / / ___\\\ / / / / ___\\\ / / ___\\\ / / / / ___\\\ / / ___\\\ | | | |41*\/ 3 ||| | |41*\/ 3 ||| | | | |41*\/ 3 ||| | |41*\/ 3 ||| | | | |41*\/ 3 ||| | |41*\/ 3 ||| | | | |41*\/ 3 ||| | |41*\/ 3 ||| | | |atan|--------||| |atan|--------||| | | |atan|--------||| |atan|--------||| | | |atan|--------||| |atan|--------||| | | |atan|--------||| |atan|--------||| | | 4 ______ | \ 9 /|| 4 ______ | \ 9 /|| | | 4 ______ | \ 9 /|| 4 ______ | \ 9 /|| | | 4 ______ | \ 9 /|| 4 ______ | \ 9 /|| | | 4 ______ | \ 9 /|| 4 ______ | \ 9 /|| | | ___ \/ 1281 *cos|--------------|| \/ 1281 *sin|--------------|| | | ___ \/ 1281 *cos|--------------|| \/ 1281 *sin|--------------|| | | ___ \/ 1281 *cos|--------------|| \/ 1281 *sin|--------------|| | | ___ \/ 1281 *cos|--------------|| \/ 1281 *sin|--------------|| | 5 | 5*\/ 3 \ 2 /| \ 2 /| | 5 |5*\/ 3 \ 2 /| \ 2 /| | 5 |5*\/ 3 \ 2 /| \ 2 /| | 5 | 5*\/ 3 \ 2 /| \ 2 /| 4*|- - + I*|- ------- + ----------------------------| + ----------------------------|*|- - + I*|------- + ----------------------------| - ----------------------------|*|- - + I*|------- - ----------------------------| + ----------------------------|*|- - + I*|- ------- - ----------------------------| - ----------------------------| \ 4 \ 4 2 / 2 / \ 4 \ 4 2 / 2 / \ 4 \ 4 2 / 2 / \ 4 \ 4 2 / 2 /
$$4 \left(- \frac{5}{4} + \frac{\sqrt[4]{1281} \sin{\left(\frac{\operatorname{atan}{\left(\frac{41 \sqrt{3}}{9} \right)}}{2} \right)}}{2} + i \left(- \frac{5 \sqrt{3}}{4} + \frac{\sqrt[4]{1281} \cos{\left(\frac{\operatorname{atan}{\left(\frac{41 \sqrt{3}}{9} \right)}}{2} \right)}}{2}\right)\right) \left(- \frac{\sqrt[4]{1281} \sin{\left(\frac{\operatorname{atan}{\left(\frac{41 \sqrt{3}}{9} \right)}}{2} \right)}}{2} - \frac{5}{4} + i \left(\frac{5 \sqrt{3}}{4} + \frac{\sqrt[4]{1281} \cos{\left(\frac{\operatorname{atan}{\left(\frac{41 \sqrt{3}}{9} \right)}}{2} \right)}}{2}\right)\right) \left(- \frac{5}{4} + \frac{\sqrt[4]{1281} \sin{\left(\frac{\operatorname{atan}{\left(\frac{41 \sqrt{3}}{9} \right)}}{2} \right)}}{2} + i \left(- \frac{\sqrt[4]{1281} \cos{\left(\frac{\operatorname{atan}{\left(\frac{41 \sqrt{3}}{9} \right)}}{2} \right)}}{2} + \frac{5 \sqrt{3}}{4}\right)\right) \left(- \frac{\sqrt[4]{1281} \sin{\left(\frac{\operatorname{atan}{\left(\frac{41 \sqrt{3}}{9} \right)}}{2} \right)}}{2} - \frac{5}{4} + i \left(- \frac{\sqrt[4]{1281} \cos{\left(\frac{\operatorname{atan}{\left(\frac{41 \sqrt{3}}{9} \right)}}{2} \right)}}{2} - \frac{5 \sqrt{3}}{4}\right)\right)$$
=
64
$$64$$
64
Respuesta rápida
[src]
x1 = 1
$$x_{1} = 1$$
x2 = 4
$$x_{2} = 4$$
/ / / ___\\\ / / ___\\
| | |41*\/ 3 ||| | |41*\/ 3 ||
| |atan|--------||| |atan|--------||
| 4 ______ | \ 9 /|| 4 ______ | \ 9 /|
| ___ \/ 1281 *cos|--------------|| \/ 1281 *sin|--------------|
5 | 5*\/ 3 \ 2 /| \ 2 /
x3 = - - + I*|- ------- + ----------------------------| + ----------------------------
4 \ 4 2 / 2
$$x_{3} = - \frac{5}{4} + \frac{\sqrt[4]{1281} \sin{\left(\frac{\operatorname{atan}{\left(\frac{41 \sqrt{3}}{9} \right)}}{2} \right)}}{2} + i \left(- \frac{5 \sqrt{3}}{4} + \frac{\sqrt[4]{1281} \cos{\left(\frac{\operatorname{atan}{\left(\frac{41 \sqrt{3}}{9} \right)}}{2} \right)}}{2}\right)$$
/ / / ___\\\ / / ___\\
| | |41*\/ 3 ||| | |41*\/ 3 ||
| |atan|--------||| |atan|--------||
| 4 ______ | \ 9 /|| 4 ______ | \ 9 /|
| ___ \/ 1281 *cos|--------------|| \/ 1281 *sin|--------------|
5 |5*\/ 3 \ 2 /| \ 2 /
x4 = - - + I*|------- + ----------------------------| - ----------------------------
4 \ 4 2 / 2
$$x_{4} = - \frac{\sqrt[4]{1281} \sin{\left(\frac{\operatorname{atan}{\left(\frac{41 \sqrt{3}}{9} \right)}}{2} \right)}}{2} - \frac{5}{4} + i \left(\frac{5 \sqrt{3}}{4} + \frac{\sqrt[4]{1281} \cos{\left(\frac{\operatorname{atan}{\left(\frac{41 \sqrt{3}}{9} \right)}}{2} \right)}}{2}\right)$$
/ / / ___\\\ / / ___\\
| | |41*\/ 3 ||| | |41*\/ 3 ||
| |atan|--------||| |atan|--------||
| 4 ______ | \ 9 /|| 4 ______ | \ 9 /|
| ___ \/ 1281 *cos|--------------|| \/ 1281 *sin|--------------|
5 |5*\/ 3 \ 2 /| \ 2 /
x5 = - - + I*|------- - ----------------------------| + ----------------------------
4 \ 4 2 / 2
$$x_{5} = - \frac{5}{4} + \frac{\sqrt[4]{1281} \sin{\left(\frac{\operatorname{atan}{\left(\frac{41 \sqrt{3}}{9} \right)}}{2} \right)}}{2} + i \left(- \frac{\sqrt[4]{1281} \cos{\left(\frac{\operatorname{atan}{\left(\frac{41 \sqrt{3}}{9} \right)}}{2} \right)}}{2} + \frac{5 \sqrt{3}}{4}\right)$$
/ / / ___\\\ / / ___\\
| | |41*\/ 3 ||| | |41*\/ 3 ||
| |atan|--------||| |atan|--------||
| 4 ______ | \ 9 /|| 4 ______ | \ 9 /|
| ___ \/ 1281 *cos|--------------|| \/ 1281 *sin|--------------|
5 | 5*\/ 3 \ 2 /| \ 2 /
x6 = - - + I*|- ------- - ----------------------------| - ----------------------------
4 \ 4 2 / 2
$$x_{6} = - \frac{\sqrt[4]{1281} \sin{\left(\frac{\operatorname{atan}{\left(\frac{41 \sqrt{3}}{9} \right)}}{2} \right)}}{2} - \frac{5}{4} + i \left(- \frac{\sqrt[4]{1281} \cos{\left(\frac{\operatorname{atan}{\left(\frac{41 \sqrt{3}}{9} \right)}}{2} \right)}}{2} - \frac{5 \sqrt{3}}{4}\right)$$
x6 = -1281^(1/4)*sin(atan(41*sqrt(3)/9)/2)/2 - 5/4 + i*(-1281^(1/4)*cos(atan(41*sqrt(3)/9)/2)/2 - 5*sqrt(3)/4)
Respuesta numérica
[src]
x1 = 1.0
x2 = -3.22772155321302 - 4.40925212498416*i
x3 = 0.72772155321302 - 0.0791251060619659*i
x4 = -3.22772155321302 + 4.40925212498416*i
x5 = 0.72772155321302 + 0.0791251060619659*i
x6 = 4.0
x6 = 4.0
Gráfico