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- La ecuación:
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Ecuación x/3+x/4=-21
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Ecuación 3^x=4
-
Ecuación 3*x^2=18*x
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Ecuación x^4-8*x^2+7=0
- Expresar {x} en función de y en la ecuación:
- -7*x+15*y=18
- 15*x+7*y=2
- 7*x-2*y=18
- -1*x-6*y=18
- 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 =(cinco *x- seis)^ tres
- x en el grado 6 es igual a (5 multiplicar por x menos 6) al cubo
- x en el grado seis es igual a (cinco multiplicar por x menos seis) en el grado tres
- x6=(5*x-6)3
- x6=5*x-63
- x⁶=(5*x-6)³
- x en el grado 6=(5*x-6) en el grado 3
- x^6=(5x-6)^3
- x6=(5x-6)3
- x6=5x-63
- x^6=5x-6^3
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Expresiones semejantes
- x^6=(5*x+6)^3
x^6=(5*x-6)^3 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Respuesta rápida
[src]
x1 = 2
$$x_{1} = 2$$
x2 = 3
$$x_{2} = 3$$
/ / / ___\\\ / / ___\\
| 4 ______ |atan\49*\/ 3 /|| 4 ______ |atan\49*\/ 3 /|
| ___ \/ 1801 *cos|--------------|| \/ 1801 *sin|--------------|
5 | 5*\/ 3 \ 2 /| \ 2 /
x3 = - - + I*|- ------- + ----------------------------| + ----------------------------
4 \ 4 2 / 2
$$x_{3} = - \frac{5}{4} + \frac{\sqrt[4]{1801} \sin{\left(\frac{\operatorname{atan}{\left(49 \sqrt{3} \right)}}{2} \right)}}{2} + i \left(- \frac{5 \sqrt{3}}{4} + \frac{\sqrt[4]{1801} \cos{\left(\frac{\operatorname{atan}{\left(49 \sqrt{3} \right)}}{2} \right)}}{2}\right)$$
/ / / ___\\\ / / ___\\
| 4 ______ |atan\49*\/ 3 /|| 4 ______ |atan\49*\/ 3 /|
| ___ \/ 1801 *cos|--------------|| \/ 1801 *sin|--------------|
5 |5*\/ 3 \ 2 /| \ 2 /
x4 = - - + I*|------- + ----------------------------| - ----------------------------
4 \ 4 2 / 2
$$x_{4} = - \frac{\sqrt[4]{1801} \sin{\left(\frac{\operatorname{atan}{\left(49 \sqrt{3} \right)}}{2} \right)}}{2} - \frac{5}{4} + i \left(\frac{5 \sqrt{3}}{4} + \frac{\sqrt[4]{1801} \cos{\left(\frac{\operatorname{atan}{\left(49 \sqrt{3} \right)}}{2} \right)}}{2}\right)$$
/ / / ___\\\ / / ___\\
| 4 ______ |atan\49*\/ 3 /|| 4 ______ |atan\49*\/ 3 /|
| ___ \/ 1801 *cos|--------------|| \/ 1801 *sin|--------------|
5 |5*\/ 3 \ 2 /| \ 2 /
x5 = - - + I*|------- - ----------------------------| + ----------------------------
4 \ 4 2 / 2
$$x_{5} = - \frac{5}{4} + \frac{\sqrt[4]{1801} \sin{\left(\frac{\operatorname{atan}{\left(49 \sqrt{3} \right)}}{2} \right)}}{2} + i \left(- \frac{\sqrt[4]{1801} \cos{\left(\frac{\operatorname{atan}{\left(49 \sqrt{3} \right)}}{2} \right)}}{2} + \frac{5 \sqrt{3}}{4}\right)$$
/ / / ___\\\ / / ___\\
| 4 ______ |atan\49*\/ 3 /|| 4 ______ |atan\49*\/ 3 /|
| ___ \/ 1801 *cos|--------------|| \/ 1801 *sin|--------------|
5 | 5*\/ 3 \ 2 /| \ 2 /
x6 = - - + I*|- ------- - ----------------------------| - ----------------------------
4 \ 4 2 / 2
$$x_{6} = - \frac{\sqrt[4]{1801} \sin{\left(\frac{\operatorname{atan}{\left(49 \sqrt{3} \right)}}{2} \right)}}{2} - \frac{5}{4} + i \left(- \frac{\sqrt[4]{1801} \cos{\left(\frac{\operatorname{atan}{\left(49 \sqrt{3} \right)}}{2} \right)}}{2} - \frac{5 \sqrt{3}}{4}\right)$$
x6 = -1801^(1/4)*sin(atan(49*sqrt(3))/2)/2 - 5/4 + i*(-1801^(1/4)*cos(atan(49*sqrt(3))/2)/2 - 5*sqrt(3)/4)
Suma y producto de raíces
[src]
suma
/ / / ___\\\ / / ___\\ / / / ___\\\ / / ___\\ / / / ___\\\ / / ___\\ / / / ___\\\ / / ___\\
| 4 ______ |atan\49*\/ 3 /|| 4 ______ |atan\49*\/ 3 /| | 4 ______ |atan\49*\/ 3 /|| 4 ______ |atan\49*\/ 3 /| | 4 ______ |atan\49*\/ 3 /|| 4 ______ |atan\49*\/ 3 /| | 4 ______ |atan\49*\/ 3 /|| 4 ______ |atan\49*\/ 3 /|
| ___ \/ 1801 *cos|--------------|| \/ 1801 *sin|--------------| | ___ \/ 1801 *cos|--------------|| \/ 1801 *sin|--------------| | ___ \/ 1801 *cos|--------------|| \/ 1801 *sin|--------------| | ___ \/ 1801 *cos|--------------|| \/ 1801 *sin|--------------|
5 | 5*\/ 3 \ 2 /| \ 2 / 5 |5*\/ 3 \ 2 /| \ 2 / 5 |5*\/ 3 \ 2 /| \ 2 / 5 | 5*\/ 3 \ 2 /| \ 2 /
2 + 3 + - - + I*|- ------- + ----------------------------| + ---------------------------- + - - + I*|------- + ----------------------------| - ---------------------------- + - - + I*|------- - ----------------------------| + ---------------------------- + - - + I*|- ------- - ----------------------------| - ----------------------------
4 \ 4 2 / 2 4 \ 4 2 / 2 4 \ 4 2 / 2 4 \ 4 2 / 2
$$\left(- \frac{\sqrt[4]{1801} \sin{\left(\frac{\operatorname{atan}{\left(49 \sqrt{3} \right)}}{2} \right)}}{2} - \frac{5}{4} + i \left(- \frac{\sqrt[4]{1801} \cos{\left(\frac{\operatorname{atan}{\left(49 \sqrt{3} \right)}}{2} \right)}}{2} - \frac{5 \sqrt{3}}{4}\right)\right) + \left(\left(- \frac{5}{4} + \frac{\sqrt[4]{1801} \sin{\left(\frac{\operatorname{atan}{\left(49 \sqrt{3} \right)}}{2} \right)}}{2} + i \left(- \frac{\sqrt[4]{1801} \cos{\left(\frac{\operatorname{atan}{\left(49 \sqrt{3} \right)}}{2} \right)}}{2} + \frac{5 \sqrt{3}}{4}\right)\right) + \left(\left(\left(2 + 3\right) + \left(- \frac{5}{4} + \frac{\sqrt[4]{1801} \sin{\left(\frac{\operatorname{atan}{\left(49 \sqrt{3} \right)}}{2} \right)}}{2} + i \left(- \frac{5 \sqrt{3}}{4} + \frac{\sqrt[4]{1801} \cos{\left(\frac{\operatorname{atan}{\left(49 \sqrt{3} \right)}}{2} \right)}}{2}\right)\right)\right) + \left(- \frac{\sqrt[4]{1801} \sin{\left(\frac{\operatorname{atan}{\left(49 \sqrt{3} \right)}}{2} \right)}}{2} - \frac{5}{4} + i \left(\frac{5 \sqrt{3}}{4} + \frac{\sqrt[4]{1801} \cos{\left(\frac{\operatorname{atan}{\left(49 \sqrt{3} \right)}}{2} \right)}}{2}\right)\right)\right)\right)$$
=
/ / / ___\\\ / / / ___\\\ / / / ___\\\ / / / ___\\\ | 4 ______ |atan\49*\/ 3 /|| | 4 ______ |atan\49*\/ 3 /|| | 4 ______ |atan\49*\/ 3 /|| | 4 ______ |atan\49*\/ 3 /|| | ___ \/ 1801 *cos|--------------|| | ___ \/ 1801 *cos|--------------|| | ___ \/ 1801 *cos|--------------|| | ___ \/ 1801 *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 /
$$i \left(- \frac{\sqrt[4]{1801} \cos{\left(\frac{\operatorname{atan}{\left(49 \sqrt{3} \right)}}{2} \right)}}{2} - \frac{5 \sqrt{3}}{4}\right) + i \left(- \frac{\sqrt[4]{1801} \cos{\left(\frac{\operatorname{atan}{\left(49 \sqrt{3} \right)}}{2} \right)}}{2} + \frac{5 \sqrt{3}}{4}\right) + i \left(- \frac{5 \sqrt{3}}{4} + \frac{\sqrt[4]{1801} \cos{\left(\frac{\operatorname{atan}{\left(49 \sqrt{3} \right)}}{2} \right)}}{2}\right) + i \left(\frac{5 \sqrt{3}}{4} + \frac{\sqrt[4]{1801} \cos{\left(\frac{\operatorname{atan}{\left(49 \sqrt{3} \right)}}{2} \right)}}{2}\right)$$
producto
/ / / / ___\\\ / / ___\\\ / / / / ___\\\ / / ___\\\ / / / / ___\\\ / / ___\\\ / / / / ___\\\ / / ___\\\
| | 4 ______ |atan\49*\/ 3 /|| 4 ______ |atan\49*\/ 3 /|| | | 4 ______ |atan\49*\/ 3 /|| 4 ______ |atan\49*\/ 3 /|| | | 4 ______ |atan\49*\/ 3 /|| 4 ______ |atan\49*\/ 3 /|| | | 4 ______ |atan\49*\/ 3 /|| 4 ______ |atan\49*\/ 3 /||
| | ___ \/ 1801 *cos|--------------|| \/ 1801 *sin|--------------|| | | ___ \/ 1801 *cos|--------------|| \/ 1801 *sin|--------------|| | | ___ \/ 1801 *cos|--------------|| \/ 1801 *sin|--------------|| | | ___ \/ 1801 *cos|--------------|| \/ 1801 *sin|--------------||
| 5 | 5*\/ 3 \ 2 /| \ 2 /| | 5 |5*\/ 3 \ 2 /| \ 2 /| | 5 |5*\/ 3 \ 2 /| \ 2 /| | 5 | 5*\/ 3 \ 2 /| \ 2 /|
2*3*|- - + I*|- ------- + ----------------------------| + ----------------------------|*|- - + I*|------- + ----------------------------| - ----------------------------|*|- - + I*|------- - ----------------------------| + ----------------------------|*|- - + I*|- ------- - ----------------------------| - ----------------------------|
\ 4 \ 4 2 / 2 / \ 4 \ 4 2 / 2 / \ 4 \ 4 2 / 2 / \ 4 \ 4 2 / 2 /
$$2 \cdot 3 \left(- \frac{5}{4} + \frac{\sqrt[4]{1801} \sin{\left(\frac{\operatorname{atan}{\left(49 \sqrt{3} \right)}}{2} \right)}}{2} + i \left(- \frac{5 \sqrt{3}}{4} + \frac{\sqrt[4]{1801} \cos{\left(\frac{\operatorname{atan}{\left(49 \sqrt{3} \right)}}{2} \right)}}{2}\right)\right) \left(- \frac{\sqrt[4]{1801} \sin{\left(\frac{\operatorname{atan}{\left(49 \sqrt{3} \right)}}{2} \right)}}{2} - \frac{5}{4} + i \left(\frac{5 \sqrt{3}}{4} + \frac{\sqrt[4]{1801} \cos{\left(\frac{\operatorname{atan}{\left(49 \sqrt{3} \right)}}{2} \right)}}{2}\right)\right) \left(- \frac{5}{4} + \frac{\sqrt[4]{1801} \sin{\left(\frac{\operatorname{atan}{\left(49 \sqrt{3} \right)}}{2} \right)}}{2} + i \left(- \frac{\sqrt[4]{1801} \cos{\left(\frac{\operatorname{atan}{\left(49 \sqrt{3} \right)}}{2} \right)}}{2} + \frac{5 \sqrt{3}}{4}\right)\right) \left(- \frac{\sqrt[4]{1801} \sin{\left(\frac{\operatorname{atan}{\left(49 \sqrt{3} \right)}}{2} \right)}}{2} - \frac{5}{4} + i \left(- \frac{\sqrt[4]{1801} \cos{\left(\frac{\operatorname{atan}{\left(49 \sqrt{3} \right)}}{2} \right)}}{2} - \frac{5 \sqrt{3}}{4}\right)\right)$$
=
216
$$216$$
216
Respuesta numérica
[src]
x1 = -3.53960123023219 - 4.4818012575631*i
x2 = 2.0
x3 = 1.03960123023219 - 0.151674238640906*i
x4 = 3.0
x5 = 1.03960123023219 + 0.151674238640906*i
x6 = -3.53960123023219 + 4.4818012575631*i
x6 = -3.53960123023219 + 4.4818012575631*i