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- La ecuación:
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Ecuación 9-7(x+3)=5-6x
-
Ecuación 6x+2=-1
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Ecuación 2x-4=8+2x
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Ecuación 25*x^2=16
- Expresar {x} en función de y en la ecuación:
- -11*x-3*y=14
- 2*x-15*y=-1
- -9*x+11*y=9
- 7*x-6*y=-10
- Derivada de:
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x^6
- Límite de la función:
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x^6
- Integral de d{x}:
- x^6
-
Expresiones idénticas
- x^ seis =(seis *x- ocho)^ tres
- x en el grado 6 es igual a (6 multiplicar por x menos 8) al cubo
- x en el grado seis es igual a (seis multiplicar por x menos ocho) en el grado tres
- x6=(6*x-8)3
- x6=6*x-83
- x⁶=(6*x-8)³
- x en el grado 6=(6*x-8) en el grado 3
- x^6=(6x-8)^3
- x6=(6x-8)3
- x6=6x-83
- x^6=6x-8^3
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Expresiones semejantes
- x^6=(6*x+8)^3
x^6=(6*x-8)^3 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Suma y producto de raíces
[src]
suma
/ ___ / / ___\\\ / / ___\\ / ___ / / ___\\\ / / ___\\ / ___ / / ___\\\ / / ___\\ / ___ / / ___\\\ / / ___\\
3 | 3*\/ 3 4 _____ |atan\17*\/ 3 /|| 4 _____ |atan\17*\/ 3 /| 3 |3*\/ 3 4 _____ |atan\17*\/ 3 /|| 4 _____ |atan\17*\/ 3 /| 3 |3*\/ 3 4 _____ |atan\17*\/ 3 /|| 4 _____ |atan\17*\/ 3 /| 3 | 3*\/ 3 4 _____ |atan\17*\/ 3 /|| 4 _____ |atan\17*\/ 3 /|
2 + 4 + - - + I*|- ------- + \/ 217 *cos|--------------|| + \/ 217 *sin|--------------| + - - + I*|------- + \/ 217 *cos|--------------|| - \/ 217 *sin|--------------| + - - + I*|------- - \/ 217 *cos|--------------|| + \/ 217 *sin|--------------| + - - + I*|- ------- - \/ 217 *cos|--------------|| - \/ 217 *sin|--------------|
2 \ 2 \ 2 // \ 2 / 2 \ 2 \ 2 // \ 2 / 2 \ 2 \ 2 // \ 2 / 2 \ 2 \ 2 // \ 2 /
$$\left(- \sqrt[4]{217} \sin{\left(\frac{\operatorname{atan}{\left(17 \sqrt{3} \right)}}{2} \right)} - \frac{3}{2} + i \left(- \sqrt[4]{217} \cos{\left(\frac{\operatorname{atan}{\left(17 \sqrt{3} \right)}}{2} \right)} - \frac{3 \sqrt{3}}{2}\right)\right) + \left(\left(- \frac{3}{2} + \sqrt[4]{217} \sin{\left(\frac{\operatorname{atan}{\left(17 \sqrt{3} \right)}}{2} \right)} + i \left(- \sqrt[4]{217} \cos{\left(\frac{\operatorname{atan}{\left(17 \sqrt{3} \right)}}{2} \right)} + \frac{3 \sqrt{3}}{2}\right)\right) + \left(\left(\left(2 + 4\right) + \left(- \frac{3}{2} + \sqrt[4]{217} \sin{\left(\frac{\operatorname{atan}{\left(17 \sqrt{3} \right)}}{2} \right)} + i \left(- \frac{3 \sqrt{3}}{2} + \sqrt[4]{217} \cos{\left(\frac{\operatorname{atan}{\left(17 \sqrt{3} \right)}}{2} \right)}\right)\right)\right) + \left(- \sqrt[4]{217} \sin{\left(\frac{\operatorname{atan}{\left(17 \sqrt{3} \right)}}{2} \right)} - \frac{3}{2} + i \left(\frac{3 \sqrt{3}}{2} + \sqrt[4]{217} \cos{\left(\frac{\operatorname{atan}{\left(17 \sqrt{3} \right)}}{2} \right)}\right)\right)\right)\right)$$
=
/ ___ / / ___\\\ / ___ / / ___\\\ / ___ / / ___\\\ / ___ / / ___\\\ | 3*\/ 3 4 _____ |atan\17*\/ 3 /|| | 3*\/ 3 4 _____ |atan\17*\/ 3 /|| |3*\/ 3 4 _____ |atan\17*\/ 3 /|| |3*\/ 3 4 _____ |atan\17*\/ 3 /|| I*|- ------- + \/ 217 *cos|--------------|| + I*|- ------- - \/ 217 *cos|--------------|| + I*|------- + \/ 217 *cos|--------------|| + I*|------- - \/ 217 *cos|--------------|| \ 2 \ 2 // \ 2 \ 2 // \ 2 \ 2 // \ 2 \ 2 //
$$i \left(- \sqrt[4]{217} \cos{\left(\frac{\operatorname{atan}{\left(17 \sqrt{3} \right)}}{2} \right)} - \frac{3 \sqrt{3}}{2}\right) + i \left(- \sqrt[4]{217} \cos{\left(\frac{\operatorname{atan}{\left(17 \sqrt{3} \right)}}{2} \right)} + \frac{3 \sqrt{3}}{2}\right) + i \left(- \frac{3 \sqrt{3}}{2} + \sqrt[4]{217} \cos{\left(\frac{\operatorname{atan}{\left(17 \sqrt{3} \right)}}{2} \right)}\right) + i \left(\frac{3 \sqrt{3}}{2} + \sqrt[4]{217} \cos{\left(\frac{\operatorname{atan}{\left(17 \sqrt{3} \right)}}{2} \right)}\right)$$
producto
/ / ___ / / ___\\\ / / ___\\\ / / ___ / / ___\\\ / / ___\\\ / / ___ / / ___\\\ / / ___\\\ / / ___ / / ___\\\ / / ___\\\
| 3 | 3*\/ 3 4 _____ |atan\17*\/ 3 /|| 4 _____ |atan\17*\/ 3 /|| | 3 |3*\/ 3 4 _____ |atan\17*\/ 3 /|| 4 _____ |atan\17*\/ 3 /|| | 3 |3*\/ 3 4 _____ |atan\17*\/ 3 /|| 4 _____ |atan\17*\/ 3 /|| | 3 | 3*\/ 3 4 _____ |atan\17*\/ 3 /|| 4 _____ |atan\17*\/ 3 /||
2*4*|- - + I*|- ------- + \/ 217 *cos|--------------|| + \/ 217 *sin|--------------||*|- - + I*|------- + \/ 217 *cos|--------------|| - \/ 217 *sin|--------------||*|- - + I*|------- - \/ 217 *cos|--------------|| + \/ 217 *sin|--------------||*|- - + I*|- ------- - \/ 217 *cos|--------------|| - \/ 217 *sin|--------------||
\ 2 \ 2 \ 2 // \ 2 // \ 2 \ 2 \ 2 // \ 2 // \ 2 \ 2 \ 2 // \ 2 // \ 2 \ 2 \ 2 // \ 2 //
$$2 \cdot 4 \left(- \frac{3}{2} + \sqrt[4]{217} \sin{\left(\frac{\operatorname{atan}{\left(17 \sqrt{3} \right)}}{2} \right)} + i \left(- \frac{3 \sqrt{3}}{2} + \sqrt[4]{217} \cos{\left(\frac{\operatorname{atan}{\left(17 \sqrt{3} \right)}}{2} \right)}\right)\right) \left(- \sqrt[4]{217} \sin{\left(\frac{\operatorname{atan}{\left(17 \sqrt{3} \right)}}{2} \right)} - \frac{3}{2} + i \left(\frac{3 \sqrt{3}}{2} + \sqrt[4]{217} \cos{\left(\frac{\operatorname{atan}{\left(17 \sqrt{3} \right)}}{2} \right)}\right)\right) \left(- \frac{3}{2} + \sqrt[4]{217} \sin{\left(\frac{\operatorname{atan}{\left(17 \sqrt{3} \right)}}{2} \right)} + i \left(- \sqrt[4]{217} \cos{\left(\frac{\operatorname{atan}{\left(17 \sqrt{3} \right)}}{2} \right)} + \frac{3 \sqrt{3}}{2}\right)\right) \left(- \sqrt[4]{217} \sin{\left(\frac{\operatorname{atan}{\left(17 \sqrt{3} \right)}}{2} \right)} - \frac{3}{2} + i \left(- \sqrt[4]{217} \cos{\left(\frac{\operatorname{atan}{\left(17 \sqrt{3} \right)}}{2} \right)} - \frac{3 \sqrt{3}}{2}\right)\right)$$
=
512
$$512$$
512
Respuesta rápida
[src]
x1 = 2
$$x_{1} = 2$$
x2 = 4
$$x_{2} = 4$$
/ ___ / / ___\\\ / / ___\\
3 | 3*\/ 3 4 _____ |atan\17*\/ 3 /|| 4 _____ |atan\17*\/ 3 /|
x3 = - - + I*|- ------- + \/ 217 *cos|--------------|| + \/ 217 *sin|--------------|
2 \ 2 \ 2 // \ 2 /
$$x_{3} = - \frac{3}{2} + \sqrt[4]{217} \sin{\left(\frac{\operatorname{atan}{\left(17 \sqrt{3} \right)}}{2} \right)} + i \left(- \frac{3 \sqrt{3}}{2} + \sqrt[4]{217} \cos{\left(\frac{\operatorname{atan}{\left(17 \sqrt{3} \right)}}{2} \right)}\right)$$
/ ___ / / ___\\\ / / ___\\
3 |3*\/ 3 4 _____ |atan\17*\/ 3 /|| 4 _____ |atan\17*\/ 3 /|
x4 = - - + I*|------- + \/ 217 *cos|--------------|| - \/ 217 *sin|--------------|
2 \ 2 \ 2 // \ 2 /
$$x_{4} = - \sqrt[4]{217} \sin{\left(\frac{\operatorname{atan}{\left(17 \sqrt{3} \right)}}{2} \right)} - \frac{3}{2} + i \left(\frac{3 \sqrt{3}}{2} + \sqrt[4]{217} \cos{\left(\frac{\operatorname{atan}{\left(17 \sqrt{3} \right)}}{2} \right)}\right)$$
/ ___ / / ___\\\ / / ___\\
3 |3*\/ 3 4 _____ |atan\17*\/ 3 /|| 4 _____ |atan\17*\/ 3 /|
x5 = - - + I*|------- - \/ 217 *cos|--------------|| + \/ 217 *sin|--------------|
2 \ 2 \ 2 // \ 2 /
$$x_{5} = - \frac{3}{2} + \sqrt[4]{217} \sin{\left(\frac{\operatorname{atan}{\left(17 \sqrt{3} \right)}}{2} \right)} + i \left(- \sqrt[4]{217} \cos{\left(\frac{\operatorname{atan}{\left(17 \sqrt{3} \right)}}{2} \right)} + \frac{3 \sqrt{3}}{2}\right)$$
/ ___ / / ___\\\ / / ___\\
3 | 3*\/ 3 4 _____ |atan\17*\/ 3 /|| 4 _____ |atan\17*\/ 3 /|
x6 = - - + I*|- ------- - \/ 217 *cos|--------------|| - \/ 217 *sin|--------------|
2 \ 2 \ 2 // \ 2 /
$$x_{6} = - \sqrt[4]{217} \sin{\left(\frac{\operatorname{atan}{\left(17 \sqrt{3} \right)}}{2} \right)} - \frac{3}{2} + i \left(- \sqrt[4]{217} \cos{\left(\frac{\operatorname{atan}{\left(17 \sqrt{3} \right)}}{2} \right)} - \frac{3 \sqrt{3}}{2}\right)$$
x6 = -217^(1/4)*sin(atan(17*sqrt(3))/2) - 3/2 + i*(-217^(1/4)*cos(atan(17*sqrt(3))/2) - 3*sqrt(3)/2)
Respuesta numérica
[src]
x1 = 2.0
x2 = 1.16748194582983 + 0.161536067813473*i
x3 = 1.16748194582983 - 0.161536067813473*i
x4 = 4.0
x5 = -4.16748194582983 + 5.3576884905201*i
x6 = -4.16748194582983 - 5.3576884905201*i
x6 = -4.16748194582983 - 5.3576884905201*i
Gráfico