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- La ecuación:
-
Ecuación x^2-11*x+30=0
- Ecuación x^2+y^2=9
-
Ecuación -33-y=-19
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Ecuación 11/(x-9)=-10
- Expresar {x} en función de y en la ecuación:
- -18*x-2*y=9
- -4*x+6*y=-7
- -7*x-13*y=5
- -18*x+8*y=-2
- Integral de d{x}:
- x⁶
- Derivada de:
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x⁶
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Expresiones idénticas
- x⁶=(4x- tres)³
- x⁶ es igual a (4x menos 3)³
- x⁶ es igual a (4x menos tres)³
- x⁶=4x-3³
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Expresiones semejantes
- x⁶=(4x+3)³
x⁶=(4x-3)³ la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Respuesta rápida
[src]
x1 = 1
$$x_{1} = 1$$
x2 = 3
$$x_{2} = 3$$
/ / / ___\\\ / / ___\\
| ___ 4 ____ |atan\7*\/ 3 /|| 4 ____ |atan\7*\/ 3 /|
x3 = -1 + I*|- \/ 3 + \/ 37 *cos|-------------|| + \/ 37 *sin|-------------|
\ \ 2 // \ 2 /
$$x_{3} = -1 + \sqrt[4]{37} \sin{\left(\frac{\operatorname{atan}{\left(7 \sqrt{3} \right)}}{2} \right)} + i \left(- \sqrt{3} + \sqrt[4]{37} \cos{\left(\frac{\operatorname{atan}{\left(7 \sqrt{3} \right)}}{2} \right)}\right)$$
/ / / ___\\\ / / ___\\
| ___ 4 ____ |atan\7*\/ 3 /|| 4 ____ |atan\7*\/ 3 /|
x4 = -1 + I*|\/ 3 + \/ 37 *cos|-------------|| - \/ 37 *sin|-------------|
\ \ 2 // \ 2 /
$$x_{4} = - \sqrt[4]{37} \sin{\left(\frac{\operatorname{atan}{\left(7 \sqrt{3} \right)}}{2} \right)} - 1 + i \left(\sqrt{3} + \sqrt[4]{37} \cos{\left(\frac{\operatorname{atan}{\left(7 \sqrt{3} \right)}}{2} \right)}\right)$$
/ / / ___\\\ / / ___\\
| ___ 4 ____ |atan\7*\/ 3 /|| 4 ____ |atan\7*\/ 3 /|
x5 = -1 + I*|\/ 3 - \/ 37 *cos|-------------|| + \/ 37 *sin|-------------|
\ \ 2 // \ 2 /
$$x_{5} = -1 + \sqrt[4]{37} \sin{\left(\frac{\operatorname{atan}{\left(7 \sqrt{3} \right)}}{2} \right)} + i \left(- \sqrt[4]{37} \cos{\left(\frac{\operatorname{atan}{\left(7 \sqrt{3} \right)}}{2} \right)} + \sqrt{3}\right)$$
/ / / ___\\\ / / ___\\
| ___ 4 ____ |atan\7*\/ 3 /|| 4 ____ |atan\7*\/ 3 /|
x6 = -1 + I*|- \/ 3 - \/ 37 *cos|-------------|| - \/ 37 *sin|-------------|
\ \ 2 // \ 2 /
$$x_{6} = - \sqrt[4]{37} \sin{\left(\frac{\operatorname{atan}{\left(7 \sqrt{3} \right)}}{2} \right)} - 1 + i \left(- \sqrt[4]{37} \cos{\left(\frac{\operatorname{atan}{\left(7 \sqrt{3} \right)}}{2} \right)} - \sqrt{3}\right)$$
x6 = -37^(1/4)*sin(atan(7*sqrt(3))/2) - 1 + i*(-37^(1/4)*cos(atan(7*sqrt(3))/2) - sqrt(3))
Suma y producto de raíces
[src]
suma
/ / / ___\\\ / / ___\\ / / / ___\\\ / / ___\\ / / / ___\\\ / / ___\\ / / / ___\\\ / / ___\\
| ___ 4 ____ |atan\7*\/ 3 /|| 4 ____ |atan\7*\/ 3 /| | ___ 4 ____ |atan\7*\/ 3 /|| 4 ____ |atan\7*\/ 3 /| | ___ 4 ____ |atan\7*\/ 3 /|| 4 ____ |atan\7*\/ 3 /| | ___ 4 ____ |atan\7*\/ 3 /|| 4 ____ |atan\7*\/ 3 /|
1 + 3 + -1 + I*|- \/ 3 + \/ 37 *cos|-------------|| + \/ 37 *sin|-------------| + -1 + I*|\/ 3 + \/ 37 *cos|-------------|| - \/ 37 *sin|-------------| + -1 + I*|\/ 3 - \/ 37 *cos|-------------|| + \/ 37 *sin|-------------| + -1 + I*|- \/ 3 - \/ 37 *cos|-------------|| - \/ 37 *sin|-------------|
\ \ 2 // \ 2 / \ \ 2 // \ 2 / \ \ 2 // \ 2 / \ \ 2 // \ 2 /
$$\left(- \sqrt[4]{37} \sin{\left(\frac{\operatorname{atan}{\left(7 \sqrt{3} \right)}}{2} \right)} - 1 + i \left(- \sqrt[4]{37} \cos{\left(\frac{\operatorname{atan}{\left(7 \sqrt{3} \right)}}{2} \right)} - \sqrt{3}\right)\right) + \left(\left(-1 + \sqrt[4]{37} \sin{\left(\frac{\operatorname{atan}{\left(7 \sqrt{3} \right)}}{2} \right)} + i \left(- \sqrt[4]{37} \cos{\left(\frac{\operatorname{atan}{\left(7 \sqrt{3} \right)}}{2} \right)} + \sqrt{3}\right)\right) + \left(\left(\left(1 + 3\right) + \left(-1 + \sqrt[4]{37} \sin{\left(\frac{\operatorname{atan}{\left(7 \sqrt{3} \right)}}{2} \right)} + i \left(- \sqrt{3} + \sqrt[4]{37} \cos{\left(\frac{\operatorname{atan}{\left(7 \sqrt{3} \right)}}{2} \right)}\right)\right)\right) + \left(- \sqrt[4]{37} \sin{\left(\frac{\operatorname{atan}{\left(7 \sqrt{3} \right)}}{2} \right)} - 1 + i \left(\sqrt{3} + \sqrt[4]{37} \cos{\left(\frac{\operatorname{atan}{\left(7 \sqrt{3} \right)}}{2} \right)}\right)\right)\right)\right)$$
=
/ / / ___\\\ / / / ___\\\ / / / ___\\\ / / / ___\\\ | ___ 4 ____ |atan\7*\/ 3 /|| | ___ 4 ____ |atan\7*\/ 3 /|| | ___ 4 ____ |atan\7*\/ 3 /|| | ___ 4 ____ |atan\7*\/ 3 /|| I*|\/ 3 + \/ 37 *cos|-------------|| + I*|\/ 3 - \/ 37 *cos|-------------|| + I*|- \/ 3 + \/ 37 *cos|-------------|| + I*|- \/ 3 - \/ 37 *cos|-------------|| \ \ 2 // \ \ 2 // \ \ 2 // \ \ 2 //
$$i \left(- \sqrt[4]{37} \cos{\left(\frac{\operatorname{atan}{\left(7 \sqrt{3} \right)}}{2} \right)} - \sqrt{3}\right) + i \left(- \sqrt[4]{37} \cos{\left(\frac{\operatorname{atan}{\left(7 \sqrt{3} \right)}}{2} \right)} + \sqrt{3}\right) + i \left(- \sqrt{3} + \sqrt[4]{37} \cos{\left(\frac{\operatorname{atan}{\left(7 \sqrt{3} \right)}}{2} \right)}\right) + i \left(\sqrt{3} + \sqrt[4]{37} \cos{\left(\frac{\operatorname{atan}{\left(7 \sqrt{3} \right)}}{2} \right)}\right)$$
producto
/ / / / ___\\\ / / ___\\\ / / / / ___\\\ / / ___\\\ / / / / ___\\\ / / ___\\\ / / / / ___\\\ / / ___\\\ | | ___ 4 ____ |atan\7*\/ 3 /|| 4 ____ |atan\7*\/ 3 /|| | | ___ 4 ____ |atan\7*\/ 3 /|| 4 ____ |atan\7*\/ 3 /|| | | ___ 4 ____ |atan\7*\/ 3 /|| 4 ____ |atan\7*\/ 3 /|| | | ___ 4 ____ |atan\7*\/ 3 /|| 4 ____ |atan\7*\/ 3 /|| 3*|-1 + I*|- \/ 3 + \/ 37 *cos|-------------|| + \/ 37 *sin|-------------||*|-1 + I*|\/ 3 + \/ 37 *cos|-------------|| - \/ 37 *sin|-------------||*|-1 + I*|\/ 3 - \/ 37 *cos|-------------|| + \/ 37 *sin|-------------||*|-1 + I*|- \/ 3 - \/ 37 *cos|-------------|| - \/ 37 *sin|-------------|| \ \ \ 2 // \ 2 // \ \ \ 2 // \ 2 // \ \ \ 2 // \ 2 // \ \ \ 2 // \ 2 //
$$3 \left(-1 + \sqrt[4]{37} \sin{\left(\frac{\operatorname{atan}{\left(7 \sqrt{3} \right)}}{2} \right)} + i \left(- \sqrt{3} + \sqrt[4]{37} \cos{\left(\frac{\operatorname{atan}{\left(7 \sqrt{3} \right)}}{2} \right)}\right)\right) \left(- \sqrt[4]{37} \sin{\left(\frac{\operatorname{atan}{\left(7 \sqrt{3} \right)}}{2} \right)} - 1 + i \left(\sqrt{3} + \sqrt[4]{37} \cos{\left(\frac{\operatorname{atan}{\left(7 \sqrt{3} \right)}}{2} \right)}\right)\right) \left(-1 + \sqrt[4]{37} \sin{\left(\frac{\operatorname{atan}{\left(7 \sqrt{3} \right)}}{2} \right)} + i \left(- \sqrt[4]{37} \cos{\left(\frac{\operatorname{atan}{\left(7 \sqrt{3} \right)}}{2} \right)} + \sqrt{3}\right)\right) \left(- \sqrt[4]{37} \sin{\left(\frac{\operatorname{atan}{\left(7 \sqrt{3} \right)}}{2} \right)} - 1 + i \left(- \sqrt[4]{37} \cos{\left(\frac{\operatorname{atan}{\left(7 \sqrt{3} \right)}}{2} \right)} - \sqrt{3}\right)\right)$$
=
27
$$27$$
27
Respuesta numérica
[src]
x1 = 0.670742728593816 + 0.0821656252607644*i
x2 = 1.0
x3 = -2.67074272859382 + 3.54626724039852*i
x4 = 3.0
x5 = 0.670742728593816 - 0.0821656252607644*i
x6 = -2.67074272859382 - 3.54626724039852*i
x6 = -2.67074272859382 - 3.54626724039852*i