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- La ecuación:
-
Ecuación x^2+5x=36
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Ecuación 9-7(x+3)=5-6x
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Ecuación 4x-5=3+2(x+1)
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Ecuación 6/(x-2)+5/x=3
- Expresar {x} en función de y en la ecuación:
- -14*x-12*y=-13
- -20*x+14*y=16
- -7*x+15*y=-11
- -14*x+5*y=3
- Derivada de:
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x^6
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(3x-2)^3
- Límite de la función:
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x^6
- Integral de d{x}:
- x^6
- (3x-2)^3
-
Expresiones idénticas
- x^ seis =(tres x- dos)^3
- x en el grado 6 es igual a (3x menos 2) al cubo
- x en el grado seis es igual a (tres x menos dos) al cubo
- x6=(3x-2)3
- x6=3x-23
- x⁶=(3x-2)³
- x en el grado 6=(3x-2) en el grado 3
- x^6=3x-2^3
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Expresiones semejantes
- x^6=(3x+2)^3
x^6=(3x-2)^3 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Respuesta rápida
[src]
x1 = 1
$$x_{1} = 1$$
x2 = 2
$$x_{2} = 2$$
/ / / ___\\\ / / ___\\
| 4 _____ |atan\17*\/ 3 /|| 4 _____ |atan\17*\/ 3 /|
| ___ \/ 217 *cos|--------------|| \/ 217 *sin|--------------|
3 | 3*\/ 3 \ 2 /| \ 2 /
x3 = - - + I*|- ------- + ---------------------------| + ---------------------------
4 \ 4 2 / 2
$$x_{3} = - \frac{3}{4} + \frac{\sqrt[4]{217} \sin{\left(\frac{\operatorname{atan}{\left(17 \sqrt{3} \right)}}{2} \right)}}{2} + i \left(- \frac{3 \sqrt{3}}{4} + \frac{\sqrt[4]{217} \cos{\left(\frac{\operatorname{atan}{\left(17 \sqrt{3} \right)}}{2} \right)}}{2}\right)$$
/ / / ___\\\ / / ___\\
| 4 _____ |atan\17*\/ 3 /|| 4 _____ |atan\17*\/ 3 /|
| ___ \/ 217 *cos|--------------|| \/ 217 *sin|--------------|
3 |3*\/ 3 \ 2 /| \ 2 /
x4 = - - + I*|------- + ---------------------------| - ---------------------------
4 \ 4 2 / 2
$$x_{4} = - \frac{\sqrt[4]{217} \sin{\left(\frac{\operatorname{atan}{\left(17 \sqrt{3} \right)}}{2} \right)}}{2} - \frac{3}{4} + i \left(\frac{3 \sqrt{3}}{4} + \frac{\sqrt[4]{217} \cos{\left(\frac{\operatorname{atan}{\left(17 \sqrt{3} \right)}}{2} \right)}}{2}\right)$$
/ / / ___\\\ / / ___\\
| 4 _____ |atan\17*\/ 3 /|| 4 _____ |atan\17*\/ 3 /|
| ___ \/ 217 *cos|--------------|| \/ 217 *sin|--------------|
3 |3*\/ 3 \ 2 /| \ 2 /
x5 = - - + I*|------- - ---------------------------| + ---------------------------
4 \ 4 2 / 2
$$x_{5} = - \frac{3}{4} + \frac{\sqrt[4]{217} \sin{\left(\frac{\operatorname{atan}{\left(17 \sqrt{3} \right)}}{2} \right)}}{2} + i \left(- \frac{\sqrt[4]{217} \cos{\left(\frac{\operatorname{atan}{\left(17 \sqrt{3} \right)}}{2} \right)}}{2} + \frac{3 \sqrt{3}}{4}\right)$$
/ / / ___\\\ / / ___\\
| 4 _____ |atan\17*\/ 3 /|| 4 _____ |atan\17*\/ 3 /|
| ___ \/ 217 *cos|--------------|| \/ 217 *sin|--------------|
3 | 3*\/ 3 \ 2 /| \ 2 /
x6 = - - + I*|- ------- - ---------------------------| - ---------------------------
4 \ 4 2 / 2
$$x_{6} = - \frac{\sqrt[4]{217} \sin{\left(\frac{\operatorname{atan}{\left(17 \sqrt{3} \right)}}{2} \right)}}{2} - \frac{3}{4} + i \left(- \frac{\sqrt[4]{217} \cos{\left(\frac{\operatorname{atan}{\left(17 \sqrt{3} \right)}}{2} \right)}}{2} - \frac{3 \sqrt{3}}{4}\right)$$
x6 = -217^(1/4)*sin(atan(17*sqrt(3))/2)/2 - 3/4 + i*(-217^(1/4)*cos(atan(17*sqrt(3))/2)/2 - 3*sqrt(3)/4)
Suma y producto de raíces
[src]
suma
/ / / ___\\\ / / ___\\ / / / ___\\\ / / ___\\ / / / ___\\\ / / ___\\ / / / ___\\\ / / ___\\
| 4 _____ |atan\17*\/ 3 /|| 4 _____ |atan\17*\/ 3 /| | 4 _____ |atan\17*\/ 3 /|| 4 _____ |atan\17*\/ 3 /| | 4 _____ |atan\17*\/ 3 /|| 4 _____ |atan\17*\/ 3 /| | 4 _____ |atan\17*\/ 3 /|| 4 _____ |atan\17*\/ 3 /|
| ___ \/ 217 *cos|--------------|| \/ 217 *sin|--------------| | ___ \/ 217 *cos|--------------|| \/ 217 *sin|--------------| | ___ \/ 217 *cos|--------------|| \/ 217 *sin|--------------| | ___ \/ 217 *cos|--------------|| \/ 217 *sin|--------------|
3 | 3*\/ 3 \ 2 /| \ 2 / 3 |3*\/ 3 \ 2 /| \ 2 / 3 |3*\/ 3 \ 2 /| \ 2 / 3 | 3*\/ 3 \ 2 /| \ 2 /
1 + 2 + - - + I*|- ------- + ---------------------------| + --------------------------- + - - + I*|------- + ---------------------------| - --------------------------- + - - + I*|------- - ---------------------------| + --------------------------- + - - + I*|- ------- - ---------------------------| - ---------------------------
4 \ 4 2 / 2 4 \ 4 2 / 2 4 \ 4 2 / 2 4 \ 4 2 / 2
$$\left(- \frac{\sqrt[4]{217} \sin{\left(\frac{\operatorname{atan}{\left(17 \sqrt{3} \right)}}{2} \right)}}{2} - \frac{3}{4} + i \left(- \frac{\sqrt[4]{217} \cos{\left(\frac{\operatorname{atan}{\left(17 \sqrt{3} \right)}}{2} \right)}}{2} - \frac{3 \sqrt{3}}{4}\right)\right) + \left(\left(- \frac{3}{4} + \frac{\sqrt[4]{217} \sin{\left(\frac{\operatorname{atan}{\left(17 \sqrt{3} \right)}}{2} \right)}}{2} + i \left(- \frac{\sqrt[4]{217} \cos{\left(\frac{\operatorname{atan}{\left(17 \sqrt{3} \right)}}{2} \right)}}{2} + \frac{3 \sqrt{3}}{4}\right)\right) + \left(\left(\left(1 + 2\right) + \left(- \frac{3}{4} + \frac{\sqrt[4]{217} \sin{\left(\frac{\operatorname{atan}{\left(17 \sqrt{3} \right)}}{2} \right)}}{2} + i \left(- \frac{3 \sqrt{3}}{4} + \frac{\sqrt[4]{217} \cos{\left(\frac{\operatorname{atan}{\left(17 \sqrt{3} \right)}}{2} \right)}}{2}\right)\right)\right) + \left(- \frac{\sqrt[4]{217} \sin{\left(\frac{\operatorname{atan}{\left(17 \sqrt{3} \right)}}{2} \right)}}{2} - \frac{3}{4} + i \left(\frac{3 \sqrt{3}}{4} + \frac{\sqrt[4]{217} \cos{\left(\frac{\operatorname{atan}{\left(17 \sqrt{3} \right)}}{2} \right)}}{2}\right)\right)\right)\right)$$
=
/ / / ___\\\ / / / ___\\\ / / / ___\\\ / / / ___\\\ | 4 _____ |atan\17*\/ 3 /|| | 4 _____ |atan\17*\/ 3 /|| | 4 _____ |atan\17*\/ 3 /|| | 4 _____ |atan\17*\/ 3 /|| | ___ \/ 217 *cos|--------------|| | ___ \/ 217 *cos|--------------|| | ___ \/ 217 *cos|--------------|| | ___ \/ 217 *cos|--------------|| | 3*\/ 3 \ 2 /| | 3*\/ 3 \ 2 /| |3*\/ 3 \ 2 /| |3*\/ 3 \ 2 /| I*|- ------- + ---------------------------| + I*|- ------- - ---------------------------| + I*|------- + ---------------------------| + I*|------- - ---------------------------| \ 4 2 / \ 4 2 / \ 4 2 / \ 4 2 /
$$i \left(- \frac{\sqrt[4]{217} \cos{\left(\frac{\operatorname{atan}{\left(17 \sqrt{3} \right)}}{2} \right)}}{2} - \frac{3 \sqrt{3}}{4}\right) + i \left(- \frac{\sqrt[4]{217} \cos{\left(\frac{\operatorname{atan}{\left(17 \sqrt{3} \right)}}{2} \right)}}{2} + \frac{3 \sqrt{3}}{4}\right) + i \left(- \frac{3 \sqrt{3}}{4} + \frac{\sqrt[4]{217} \cos{\left(\frac{\operatorname{atan}{\left(17 \sqrt{3} \right)}}{2} \right)}}{2}\right) + i \left(\frac{3 \sqrt{3}}{4} + \frac{\sqrt[4]{217} \cos{\left(\frac{\operatorname{atan}{\left(17 \sqrt{3} \right)}}{2} \right)}}{2}\right)$$
producto
/ / / / ___\\\ / / ___\\\ / / / / ___\\\ / / ___\\\ / / / / ___\\\ / / ___\\\ / / / / ___\\\ / / ___\\\ | | 4 _____ |atan\17*\/ 3 /|| 4 _____ |atan\17*\/ 3 /|| | | 4 _____ |atan\17*\/ 3 /|| 4 _____ |atan\17*\/ 3 /|| | | 4 _____ |atan\17*\/ 3 /|| 4 _____ |atan\17*\/ 3 /|| | | 4 _____ |atan\17*\/ 3 /|| 4 _____ |atan\17*\/ 3 /|| | | ___ \/ 217 *cos|--------------|| \/ 217 *sin|--------------|| | | ___ \/ 217 *cos|--------------|| \/ 217 *sin|--------------|| | | ___ \/ 217 *cos|--------------|| \/ 217 *sin|--------------|| | | ___ \/ 217 *cos|--------------|| \/ 217 *sin|--------------|| | 3 | 3*\/ 3 \ 2 /| \ 2 /| | 3 |3*\/ 3 \ 2 /| \ 2 /| | 3 |3*\/ 3 \ 2 /| \ 2 /| | 3 | 3*\/ 3 \ 2 /| \ 2 /| 2*|- - + I*|- ------- + ---------------------------| + ---------------------------|*|- - + I*|------- + ---------------------------| - ---------------------------|*|- - + I*|------- - ---------------------------| + ---------------------------|*|- - + I*|- ------- - ---------------------------| - ---------------------------| \ 4 \ 4 2 / 2 / \ 4 \ 4 2 / 2 / \ 4 \ 4 2 / 2 / \ 4 \ 4 2 / 2 /
$$2 \left(- \frac{3}{4} + \frac{\sqrt[4]{217} \sin{\left(\frac{\operatorname{atan}{\left(17 \sqrt{3} \right)}}{2} \right)}}{2} + i \left(- \frac{3 \sqrt{3}}{4} + \frac{\sqrt[4]{217} \cos{\left(\frac{\operatorname{atan}{\left(17 \sqrt{3} \right)}}{2} \right)}}{2}\right)\right) \left(- \frac{\sqrt[4]{217} \sin{\left(\frac{\operatorname{atan}{\left(17 \sqrt{3} \right)}}{2} \right)}}{2} - \frac{3}{4} + i \left(\frac{3 \sqrt{3}}{4} + \frac{\sqrt[4]{217} \cos{\left(\frac{\operatorname{atan}{\left(17 \sqrt{3} \right)}}{2} \right)}}{2}\right)\right) \left(- \frac{3}{4} + \frac{\sqrt[4]{217} \sin{\left(\frac{\operatorname{atan}{\left(17 \sqrt{3} \right)}}{2} \right)}}{2} + i \left(- \frac{\sqrt[4]{217} \cos{\left(\frac{\operatorname{atan}{\left(17 \sqrt{3} \right)}}{2} \right)}}{2} + \frac{3 \sqrt{3}}{4}\right)\right) \left(- \frac{\sqrt[4]{217} \sin{\left(\frac{\operatorname{atan}{\left(17 \sqrt{3} \right)}}{2} \right)}}{2} - \frac{3}{4} + i \left(- \frac{\sqrt[4]{217} \cos{\left(\frac{\operatorname{atan}{\left(17 \sqrt{3} \right)}}{2} \right)}}{2} - \frac{3 \sqrt{3}}{4}\right)\right)$$
=
8
$$8$$
8
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