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Ecuación (x+9)^2=36*x
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Ecuación a+120=2000/5
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Ecuación -x/11+x=50/11
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Ecuación x^2+7x+6=0
- Expresar {x} en función de y en la ecuación:
- 12*x+8*y=18
- 8*x+6*y=20
- -2*x+18*y=13
- -11*x-1*y=15
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Expresiones idénticas
- (v^ dos)/ dos =(x^ dos)/ dos + diez * diez mil +(dos * cero . setecientos ochenta y cinco *v^ dos * cero . dos * diez mil /sin(treinta y cinco)+ mil quinientos treinta * diez * diez mil)/ mil quinientos treinta
- (v al cuadrado ) dividir por 2 es igual a (x al cuadrado ) dividir por 2 más 10 multiplicar por 10000 más (2 multiplicar por 0.785 multiplicar por v al cuadrado multiplicar por 0.2 multiplicar por 10000 dividir por seno de (35) más 1530 multiplicar por 10 multiplicar por 10000) dividir por 1530
- (v en el grado dos) dividir por dos es igual a (x en el grado dos) dividir por dos más diez multiplicar por diez mil más (dos multiplicar por cero . setecientos ochenta y cinco multiplicar por v en el grado dos multiplicar por cero . dos multiplicar por diez mil dividir por seno de (treinta y cinco) más mil quinientos treinta multiplicar por diez multiplicar por diez mil) dividir por mil quinientos treinta
- (v2)/2=(x2)/2+10*10000+(2*0.785*v2*0.2*10000/sin(35)+1530*10*10000)/1530
- v2/2=x2/2+10*10000+2*0.785*v2*0.2*10000/sin35+1530*10*10000/1530
- (v²)/2=(x²)/2+10*10000+(2*0.785*v²*0.2*10000/sin(35)+1530*10*10000)/1530
- (v en el grado 2)/2=(x en el grado 2)/2+10*10000+(2*0.785*v en el grado 2*0.2*10000/sin(35)+1530*10*10000)/1530
- (v^2)/2=(x^2)/2+1010000+(20.785v^20.210000/sin(35)+15301010000)/1530
- (v2)/2=(x2)/2+1010000+(20.785v20.210000/sin(35)+15301010000)/1530
- v2/2=x2/2+1010000+20.785v20.210000/sin35+15301010000/1530
- v^2/2=x^2/2+1010000+20.785v^20.210000/sin35+15301010000/1530
- (v^2) dividir por 2=(x^2) dividir por 2+10*10000+(2*0.785*v^2*0.2*10000 dividir por sin(35)+1530*10*10000) dividir por 1530
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Expresiones semejantes
- (v^2)/2=(x^2)/2+10*10000-(2*0.785*v^2*0.2*10000/sin(35)+1530*10*10000)/1530
- (v^2)/2=(x^2)/2-10*10000+(2*0.785*v^2*0.2*10000/sin(35)+1530*10*10000)/1530
- (v^2)/2=(x^2)/2+10*10000+(2*0.785*v^2*0.2*10000/sin(35)-1530*10*10000)/1530
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Expresiones con funciones
- Seno sin
- sin(x)=1.5
- sin(sin(x))=1
- sin(x)=-0.5
- sin(-x)=1/2
- sin(x)^2=3/4
(v^2)/2=(x^2)/2+10*10000+(2*0.785*v^2*0.2*10000/sin(35)+1530*10*10000)/1530 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
157*2 2
-----*v
200
--------*10000
5
2 2 -------------- + 153000000
v x sin(35)
-- = -- + 100000 + --------------------------
2 2 1530
$$\frac{v^{2}}{2} = \left(\frac{x^{2}}{2} + 100000\right) + \frac{\frac{10000 \frac{\frac{2 \cdot 157}{200} v^{2}}{5}}{\sin{\left(35 \right)}} + 153000000}{1530}$$
Solución detallada
Transportemos el miembro derecho de la ecuación al
miembro izquierdo de la ecuación con el signo negativo.
La ecuación se convierte de
$$\frac{v^{2}}{2} = \left(\frac{x^{2}}{2} + 100000\right) + \frac{\frac{10000 \frac{\frac{2 \cdot 157}{200} v^{2}}{5}}{\sin{\left(35 \right)}} + 153000000}{1530}$$
en
$$\frac{v^{2}}{2} + \left(\left(- \frac{x^{2}}{2} - 100000\right) - \frac{\frac{10000 \frac{\frac{2 \cdot 157}{200} v^{2}}{5}}{\sin{\left(35 \right)}} + 153000000}{1530}\right) = 0$$
Abramos la expresión en la ecuación
$$\frac{v^{2}}{2} + \left(\left(- \frac{x^{2}}{2} - 100000\right) - \frac{\frac{10000 \frac{\frac{2 \cdot 157}{200} v^{2}}{5}}{\sin{\left(35 \right)}} + 153000000}{1530}\right) = 0$$
Obtenemos la ecuación cuadrática
$$\frac{v^{2}}{2} - \frac{314 v^{2}}{153 \sin{\left(35 \right)}} - \frac{x^{2}}{2} - 200000 = 0$$
Es la ecuación de la forma
La ecuación cuadrática puede ser resuelta
con la ayuda del discriminante.
Las raíces de la ecuación cuadrática:
$$x_{1} = \frac{\sqrt{D} - b}{2 a}$$
$$x_{2} = \frac{- \sqrt{D} - b}{2 a}$$
donde D = b^2 - 4*a*c es el discriminante.
Como
$$a = - \frac{1}{2}$$
$$b = 0$$
$$c = \frac{v^{2}}{2} - \frac{314 v^{2}}{153 \sin{\left(35 \right)}} - 200000$$
, entonces
La ecuación tiene dos raíces.
o
$$x_{1} = - \sqrt{v^{2} - \frac{628 v^{2}}{153 \sin{\left(35 \right)}} - 400000}$$
$$x_{2} = \sqrt{v^{2} - \frac{628 v^{2}}{153 \sin{\left(35 \right)}} - 400000}$$
miembro izquierdo de la ecuación con el signo negativo.
La ecuación se convierte de
$$\frac{v^{2}}{2} = \left(\frac{x^{2}}{2} + 100000\right) + \frac{\frac{10000 \frac{\frac{2 \cdot 157}{200} v^{2}}{5}}{\sin{\left(35 \right)}} + 153000000}{1530}$$
en
$$\frac{v^{2}}{2} + \left(\left(- \frac{x^{2}}{2} - 100000\right) - \frac{\frac{10000 \frac{\frac{2 \cdot 157}{200} v^{2}}{5}}{\sin{\left(35 \right)}} + 153000000}{1530}\right) = 0$$
Abramos la expresión en la ecuación
$$\frac{v^{2}}{2} + \left(\left(- \frac{x^{2}}{2} - 100000\right) - \frac{\frac{10000 \frac{\frac{2 \cdot 157}{200} v^{2}}{5}}{\sin{\left(35 \right)}} + 153000000}{1530}\right) = 0$$
Obtenemos la ecuación cuadrática
$$\frac{v^{2}}{2} - \frac{314 v^{2}}{153 \sin{\left(35 \right)}} - \frac{x^{2}}{2} - 200000 = 0$$
Es la ecuación de la forma
a*x^2 + b*x + c = 0
La ecuación cuadrática puede ser resuelta
con la ayuda del discriminante.
Las raíces de la ecuación cuadrática:
$$x_{1} = \frac{\sqrt{D} - b}{2 a}$$
$$x_{2} = \frac{- \sqrt{D} - b}{2 a}$$
donde D = b^2 - 4*a*c es el discriminante.
Como
$$a = - \frac{1}{2}$$
$$b = 0$$
$$c = \frac{v^{2}}{2} - \frac{314 v^{2}}{153 \sin{\left(35 \right)}} - 200000$$
, entonces
D = b^2 - 4 * a * c =
(0)^2 - 4 * (-1/2) * (-200000 + v^2/2 - 314*v^2/(153*sin(35))) = -400000 + v^2 - 628*v^2/(153*sin(35))
La ecuación tiene dos raíces.
x1 = (-b + sqrt(D)) / (2*a)
x2 = (-b - sqrt(D)) / (2*a)
o
$$x_{1} = - \sqrt{v^{2} - \frac{628 v^{2}}{153 \sin{\left(35 \right)}} - 400000}$$
$$x_{2} = \sqrt{v^{2} - \frac{628 v^{2}}{153 \sin{\left(35 \right)}} - 400000}$$
Teorema de Cardano-Vieta
reescribamos la ecuación
$$\frac{v^{2}}{2} = \left(\frac{x^{2}}{2} + 100000\right) + \frac{\frac{10000 \frac{\frac{2 \cdot 157}{200} v^{2}}{5}}{\sin{\left(35 \right)}} + 153000000}{1530}$$
de
$$a x^{2} + b x + c = 0$$
como ecuación cuadrática reducida
$$x^{2} + \frac{b x}{a} + \frac{c}{a} = 0$$
$$\frac{628 v^{2}}{153 \sin{\left(35 \right)}} - v^{2} + x^{2} + 400000 = 0$$
$$p x + q + x^{2} = 0$$
donde
$$p = \frac{b}{a}$$
$$p = 0$$
$$q = \frac{c}{a}$$
$$q = \frac{628 v^{2}}{153 \sin{\left(35 \right)}} - v^{2} + 400000$$
Fórmulas de Cardano-Vieta
$$x_{1} + x_{2} = - p$$
$$x_{1} x_{2} = q$$
$$x_{1} + x_{2} = 0$$
$$x_{1} x_{2} = \frac{628 v^{2}}{153 \sin{\left(35 \right)}} - v^{2} + 400000$$
$$\frac{v^{2}}{2} = \left(\frac{x^{2}}{2} + 100000\right) + \frac{\frac{10000 \frac{\frac{2 \cdot 157}{200} v^{2}}{5}}{\sin{\left(35 \right)}} + 153000000}{1530}$$
de
$$a x^{2} + b x + c = 0$$
como ecuación cuadrática reducida
$$x^{2} + \frac{b x}{a} + \frac{c}{a} = 0$$
$$\frac{628 v^{2}}{153 \sin{\left(35 \right)}} - v^{2} + x^{2} + 400000 = 0$$
$$p x + q + x^{2} = 0$$
donde
$$p = \frac{b}{a}$$
$$p = 0$$
$$q = \frac{c}{a}$$
$$q = \frac{628 v^{2}}{153 \sin{\left(35 \right)}} - v^{2} + 400000$$
Fórmulas de Cardano-Vieta
$$x_{1} + x_{2} = - p$$
$$x_{1} x_{2} = q$$
$$x_{1} + x_{2} = 0$$
$$x_{1} x_{2} = \frac{628 v^{2}}{153 \sin{\left(35 \right)}} - v^{2} + 400000$$
Gráfica
Respuesta rápida
[src]
__________________________________________________________________________________________________________________________________________ __________________________________________________________________________________________________________________________________________
/ 2 / / 2 2 / 2 2 \ \\ / 2 / / 2 2 / 2 2 \ \\
4 / 2 / 2 2 / 2 2 \ \ |atan2\21352*im(v)*re(v) - 5202*im(v)*re(v)*sin(35), - 10676*im (v) + 10676*re (v) + 1040400000*sin(35) - 2601*\re (v) - im (v)/*sin(35)/| 4 / 2 / 2 2 / 2 2 \ \ |atan2\21352*im(v)*re(v) - 5202*im(v)*re(v)*sin(35), - 10676*im (v) + 10676*re (v) + 1040400000*sin(35) - 2601*\re (v) - im (v)/*sin(35)/|
\/ (21352*im(v)*re(v) - 5202*im(v)*re(v)*sin(35)) + \- 10676*im (v) + 10676*re (v) + 1040400000*sin(35) - 2601*\re (v) - im (v)/*sin(35)/ *cos|----------------------------------------------------------------------------------------------------------------------------------------| I*\/ (21352*im(v)*re(v) - 5202*im(v)*re(v)*sin(35)) + \- 10676*im (v) + 10676*re (v) + 1040400000*sin(35) - 2601*\re (v) - im (v)/*sin(35)/ *sin|----------------------------------------------------------------------------------------------------------------------------------------|
\ 2 / \ 2 /
x1 = - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
__________ __________
51*\/ -sin(35) 51*\/ -sin(35)
$$x_{1} = - \frac{i \sqrt[4]{\left(- 5202 \sin{\left(35 \right)} \operatorname{re}{\left(v\right)} \operatorname{im}{\left(v\right)} + 21352 \operatorname{re}{\left(v\right)} \operatorname{im}{\left(v\right)}\right)^{2} + \left(- 2601 \left(\left(\operatorname{re}{\left(v\right)}\right)^{2} - \left(\operatorname{im}{\left(v\right)}\right)^{2}\right) \sin{\left(35 \right)} + 10676 \left(\operatorname{re}{\left(v\right)}\right)^{2} - 10676 \left(\operatorname{im}{\left(v\right)}\right)^{2} + 1040400000 \sin{\left(35 \right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 5202 \sin{\left(35 \right)} \operatorname{re}{\left(v\right)} \operatorname{im}{\left(v\right)} + 21352 \operatorname{re}{\left(v\right)} \operatorname{im}{\left(v\right)},- 2601 \left(\left(\operatorname{re}{\left(v\right)}\right)^{2} - \left(\operatorname{im}{\left(v\right)}\right)^{2}\right) \sin{\left(35 \right)} + 10676 \left(\operatorname{re}{\left(v\right)}\right)^{2} - 10676 \left(\operatorname{im}{\left(v\right)}\right)^{2} + 1040400000 \sin{\left(35 \right)} \right)}}{2} \right)}}{51 \sqrt{- \sin{\left(35 \right)}}} - \frac{\sqrt[4]{\left(- 5202 \sin{\left(35 \right)} \operatorname{re}{\left(v\right)} \operatorname{im}{\left(v\right)} + 21352 \operatorname{re}{\left(v\right)} \operatorname{im}{\left(v\right)}\right)^{2} + \left(- 2601 \left(\left(\operatorname{re}{\left(v\right)}\right)^{2} - \left(\operatorname{im}{\left(v\right)}\right)^{2}\right) \sin{\left(35 \right)} + 10676 \left(\operatorname{re}{\left(v\right)}\right)^{2} - 10676 \left(\operatorname{im}{\left(v\right)}\right)^{2} + 1040400000 \sin{\left(35 \right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 5202 \sin{\left(35 \right)} \operatorname{re}{\left(v\right)} \operatorname{im}{\left(v\right)} + 21352 \operatorname{re}{\left(v\right)} \operatorname{im}{\left(v\right)},- 2601 \left(\left(\operatorname{re}{\left(v\right)}\right)^{2} - \left(\operatorname{im}{\left(v\right)}\right)^{2}\right) \sin{\left(35 \right)} + 10676 \left(\operatorname{re}{\left(v\right)}\right)^{2} - 10676 \left(\operatorname{im}{\left(v\right)}\right)^{2} + 1040400000 \sin{\left(35 \right)} \right)}}{2} \right)}}{51 \sqrt{- \sin{\left(35 \right)}}}$$
__________________________________________________________________________________________________________________________________________ __________________________________________________________________________________________________________________________________________
/ 2 / / 2 2 / 2 2 \ \\ / 2 / / 2 2 / 2 2 \ \\
4 / 2 / 2 2 / 2 2 \ \ |atan2\21352*im(v)*re(v) - 5202*im(v)*re(v)*sin(35), - 10676*im (v) + 10676*re (v) + 1040400000*sin(35) - 2601*\re (v) - im (v)/*sin(35)/| 4 / 2 / 2 2 / 2 2 \ \ |atan2\21352*im(v)*re(v) - 5202*im(v)*re(v)*sin(35), - 10676*im (v) + 10676*re (v) + 1040400000*sin(35) - 2601*\re (v) - im (v)/*sin(35)/|
\/ (21352*im(v)*re(v) - 5202*im(v)*re(v)*sin(35)) + \- 10676*im (v) + 10676*re (v) + 1040400000*sin(35) - 2601*\re (v) - im (v)/*sin(35)/ *cos|----------------------------------------------------------------------------------------------------------------------------------------| I*\/ (21352*im(v)*re(v) - 5202*im(v)*re(v)*sin(35)) + \- 10676*im (v) + 10676*re (v) + 1040400000*sin(35) - 2601*\re (v) - im (v)/*sin(35)/ *sin|----------------------------------------------------------------------------------------------------------------------------------------|
\ 2 / \ 2 /
x2 = -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
__________ __________
51*\/ -sin(35) 51*\/ -sin(35)
$$x_{2} = \frac{i \sqrt[4]{\left(- 5202 \sin{\left(35 \right)} \operatorname{re}{\left(v\right)} \operatorname{im}{\left(v\right)} + 21352 \operatorname{re}{\left(v\right)} \operatorname{im}{\left(v\right)}\right)^{2} + \left(- 2601 \left(\left(\operatorname{re}{\left(v\right)}\right)^{2} - \left(\operatorname{im}{\left(v\right)}\right)^{2}\right) \sin{\left(35 \right)} + 10676 \left(\operatorname{re}{\left(v\right)}\right)^{2} - 10676 \left(\operatorname{im}{\left(v\right)}\right)^{2} + 1040400000 \sin{\left(35 \right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 5202 \sin{\left(35 \right)} \operatorname{re}{\left(v\right)} \operatorname{im}{\left(v\right)} + 21352 \operatorname{re}{\left(v\right)} \operatorname{im}{\left(v\right)},- 2601 \left(\left(\operatorname{re}{\left(v\right)}\right)^{2} - \left(\operatorname{im}{\left(v\right)}\right)^{2}\right) \sin{\left(35 \right)} + 10676 \left(\operatorname{re}{\left(v\right)}\right)^{2} - 10676 \left(\operatorname{im}{\left(v\right)}\right)^{2} + 1040400000 \sin{\left(35 \right)} \right)}}{2} \right)}}{51 \sqrt{- \sin{\left(35 \right)}}} + \frac{\sqrt[4]{\left(- 5202 \sin{\left(35 \right)} \operatorname{re}{\left(v\right)} \operatorname{im}{\left(v\right)} + 21352 \operatorname{re}{\left(v\right)} \operatorname{im}{\left(v\right)}\right)^{2} + \left(- 2601 \left(\left(\operatorname{re}{\left(v\right)}\right)^{2} - \left(\operatorname{im}{\left(v\right)}\right)^{2}\right) \sin{\left(35 \right)} + 10676 \left(\operatorname{re}{\left(v\right)}\right)^{2} - 10676 \left(\operatorname{im}{\left(v\right)}\right)^{2} + 1040400000 \sin{\left(35 \right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 5202 \sin{\left(35 \right)} \operatorname{re}{\left(v\right)} \operatorname{im}{\left(v\right)} + 21352 \operatorname{re}{\left(v\right)} \operatorname{im}{\left(v\right)},- 2601 \left(\left(\operatorname{re}{\left(v\right)}\right)^{2} - \left(\operatorname{im}{\left(v\right)}\right)^{2}\right) \sin{\left(35 \right)} + 10676 \left(\operatorname{re}{\left(v\right)}\right)^{2} - 10676 \left(\operatorname{im}{\left(v\right)}\right)^{2} + 1040400000 \sin{\left(35 \right)} \right)}}{2} \right)}}{51 \sqrt{- \sin{\left(35 \right)}}}$$
x2 = i*((-5202*sin(35)*re(v)*im(v) + 21352*re(v)*im(v))^2 + (-2601*(re(v)^2 - im(v)^2)*sin(35) + 10676*re(v)^2 - 10676*im(v)^2 + 1040400000*sin(35))^2)^(1/4)*sin(atan2(-5202*sin(35)*re(v)*im(v) + 21352*re(v)*im(v, -2601*(re(v)^2 - im(v)^2)*sin(35) + 10676*re(v)^2 - 10676*im(v)^2 + 1040400000*sin(35))/2)/(51*sqrt(-sin(35))) + ((-5202*sin(35)*re(v)*im(v) + 21352*re(v)*im(v))^2 + (-2601*(re(v)^2 - im(v)^2)*sin(35) + 10676*re(v)^2 - 10676*im(v)^2 + 1040400000*sin(35))^2)^(1/4)*cos(atan2(-5202*sin(35)*re(v)*im(v) + 21352*re(v)*im(v), -2601*(re(v)^2 - im(v)^2)*sin(35) + 10676*re(v)^2 - 10676*im(v)^2 + 1040400000*sin(35))/2)/(51*sqrt(-sin(35))))
Suma y producto de raíces
[src]
suma
__________________________________________________________________________________________________________________________________________ __________________________________________________________________________________________________________________________________________ __________________________________________________________________________________________________________________________________________ __________________________________________________________________________________________________________________________________________
/ 2 / / 2 2 / 2 2 \ \\ / 2 / / 2 2 / 2 2 \ \\ / 2 / / 2 2 / 2 2 \ \\ / 2 / / 2 2 / 2 2 \ \\
4 / 2 / 2 2 / 2 2 \ \ |atan2\21352*im(v)*re(v) - 5202*im(v)*re(v)*sin(35), - 10676*im (v) + 10676*re (v) + 1040400000*sin(35) - 2601*\re (v) - im (v)/*sin(35)/| 4 / 2 / 2 2 / 2 2 \ \ |atan2\21352*im(v)*re(v) - 5202*im(v)*re(v)*sin(35), - 10676*im (v) + 10676*re (v) + 1040400000*sin(35) - 2601*\re (v) - im (v)/*sin(35)/| 4 / 2 / 2 2 / 2 2 \ \ |atan2\21352*im(v)*re(v) - 5202*im(v)*re(v)*sin(35), - 10676*im (v) + 10676*re (v) + 1040400000*sin(35) - 2601*\re (v) - im (v)/*sin(35)/| 4 / 2 / 2 2 / 2 2 \ \ |atan2\21352*im(v)*re(v) - 5202*im(v)*re(v)*sin(35), - 10676*im (v) + 10676*re (v) + 1040400000*sin(35) - 2601*\re (v) - im (v)/*sin(35)/|
\/ (21352*im(v)*re(v) - 5202*im(v)*re(v)*sin(35)) + \- 10676*im (v) + 10676*re (v) + 1040400000*sin(35) - 2601*\re (v) - im (v)/*sin(35)/ *cos|----------------------------------------------------------------------------------------------------------------------------------------| I*\/ (21352*im(v)*re(v) - 5202*im(v)*re(v)*sin(35)) + \- 10676*im (v) + 10676*re (v) + 1040400000*sin(35) - 2601*\re (v) - im (v)/*sin(35)/ *sin|----------------------------------------------------------------------------------------------------------------------------------------| \/ (21352*im(v)*re(v) - 5202*im(v)*re(v)*sin(35)) + \- 10676*im (v) + 10676*re (v) + 1040400000*sin(35) - 2601*\re (v) - im (v)/*sin(35)/ *cos|----------------------------------------------------------------------------------------------------------------------------------------| I*\/ (21352*im(v)*re(v) - 5202*im(v)*re(v)*sin(35)) + \- 10676*im (v) + 10676*re (v) + 1040400000*sin(35) - 2601*\re (v) - im (v)/*sin(35)/ *sin|----------------------------------------------------------------------------------------------------------------------------------------|
\ 2 / \ 2 / \ 2 / \ 2 /
- -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
__________ __________ __________ __________
51*\/ -sin(35) 51*\/ -sin(35) 51*\/ -sin(35) 51*\/ -sin(35)
$$\left(- \frac{i \sqrt[4]{\left(- 5202 \sin{\left(35 \right)} \operatorname{re}{\left(v\right)} \operatorname{im}{\left(v\right)} + 21352 \operatorname{re}{\left(v\right)} \operatorname{im}{\left(v\right)}\right)^{2} + \left(- 2601 \left(\left(\operatorname{re}{\left(v\right)}\right)^{2} - \left(\operatorname{im}{\left(v\right)}\right)^{2}\right) \sin{\left(35 \right)} + 10676 \left(\operatorname{re}{\left(v\right)}\right)^{2} - 10676 \left(\operatorname{im}{\left(v\right)}\right)^{2} + 1040400000 \sin{\left(35 \right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 5202 \sin{\left(35 \right)} \operatorname{re}{\left(v\right)} \operatorname{im}{\left(v\right)} + 21352 \operatorname{re}{\left(v\right)} \operatorname{im}{\left(v\right)},- 2601 \left(\left(\operatorname{re}{\left(v\right)}\right)^{2} - \left(\operatorname{im}{\left(v\right)}\right)^{2}\right) \sin{\left(35 \right)} + 10676 \left(\operatorname{re}{\left(v\right)}\right)^{2} - 10676 \left(\operatorname{im}{\left(v\right)}\right)^{2} + 1040400000 \sin{\left(35 \right)} \right)}}{2} \right)}}{51 \sqrt{- \sin{\left(35 \right)}}} - \frac{\sqrt[4]{\left(- 5202 \sin{\left(35 \right)} \operatorname{re}{\left(v\right)} \operatorname{im}{\left(v\right)} + 21352 \operatorname{re}{\left(v\right)} \operatorname{im}{\left(v\right)}\right)^{2} + \left(- 2601 \left(\left(\operatorname{re}{\left(v\right)}\right)^{2} - \left(\operatorname{im}{\left(v\right)}\right)^{2}\right) \sin{\left(35 \right)} + 10676 \left(\operatorname{re}{\left(v\right)}\right)^{2} - 10676 \left(\operatorname{im}{\left(v\right)}\right)^{2} + 1040400000 \sin{\left(35 \right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 5202 \sin{\left(35 \right)} \operatorname{re}{\left(v\right)} \operatorname{im}{\left(v\right)} + 21352 \operatorname{re}{\left(v\right)} \operatorname{im}{\left(v\right)},- 2601 \left(\left(\operatorname{re}{\left(v\right)}\right)^{2} - \left(\operatorname{im}{\left(v\right)}\right)^{2}\right) \sin{\left(35 \right)} + 10676 \left(\operatorname{re}{\left(v\right)}\right)^{2} - 10676 \left(\operatorname{im}{\left(v\right)}\right)^{2} + 1040400000 \sin{\left(35 \right)} \right)}}{2} \right)}}{51 \sqrt{- \sin{\left(35 \right)}}}\right) + \left(\frac{i \sqrt[4]{\left(- 5202 \sin{\left(35 \right)} \operatorname{re}{\left(v\right)} \operatorname{im}{\left(v\right)} + 21352 \operatorname{re}{\left(v\right)} \operatorname{im}{\left(v\right)}\right)^{2} + \left(- 2601 \left(\left(\operatorname{re}{\left(v\right)}\right)^{2} - \left(\operatorname{im}{\left(v\right)}\right)^{2}\right) \sin{\left(35 \right)} + 10676 \left(\operatorname{re}{\left(v\right)}\right)^{2} - 10676 \left(\operatorname{im}{\left(v\right)}\right)^{2} + 1040400000 \sin{\left(35 \right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 5202 \sin{\left(35 \right)} \operatorname{re}{\left(v\right)} \operatorname{im}{\left(v\right)} + 21352 \operatorname{re}{\left(v\right)} \operatorname{im}{\left(v\right)},- 2601 \left(\left(\operatorname{re}{\left(v\right)}\right)^{2} - \left(\operatorname{im}{\left(v\right)}\right)^{2}\right) \sin{\left(35 \right)} + 10676 \left(\operatorname{re}{\left(v\right)}\right)^{2} - 10676 \left(\operatorname{im}{\left(v\right)}\right)^{2} + 1040400000 \sin{\left(35 \right)} \right)}}{2} \right)}}{51 \sqrt{- \sin{\left(35 \right)}}} + \frac{\sqrt[4]{\left(- 5202 \sin{\left(35 \right)} \operatorname{re}{\left(v\right)} \operatorname{im}{\left(v\right)} + 21352 \operatorname{re}{\left(v\right)} \operatorname{im}{\left(v\right)}\right)^{2} + \left(- 2601 \left(\left(\operatorname{re}{\left(v\right)}\right)^{2} - \left(\operatorname{im}{\left(v\right)}\right)^{2}\right) \sin{\left(35 \right)} + 10676 \left(\operatorname{re}{\left(v\right)}\right)^{2} - 10676 \left(\operatorname{im}{\left(v\right)}\right)^{2} + 1040400000 \sin{\left(35 \right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 5202 \sin{\left(35 \right)} \operatorname{re}{\left(v\right)} \operatorname{im}{\left(v\right)} + 21352 \operatorname{re}{\left(v\right)} \operatorname{im}{\left(v\right)},- 2601 \left(\left(\operatorname{re}{\left(v\right)}\right)^{2} - \left(\operatorname{im}{\left(v\right)}\right)^{2}\right) \sin{\left(35 \right)} + 10676 \left(\operatorname{re}{\left(v\right)}\right)^{2} - 10676 \left(\operatorname{im}{\left(v\right)}\right)^{2} + 1040400000 \sin{\left(35 \right)} \right)}}{2} \right)}}{51 \sqrt{- \sin{\left(35 \right)}}}\right)$$
=
0
$$0$$
producto
/ __________________________________________________________________________________________________________________________________________ __________________________________________________________________________________________________________________________________________ \ / __________________________________________________________________________________________________________________________________________ __________________________________________________________________________________________________________________________________________ \ | / 2 / / 2 2 / 2 2 \ \\ / 2 / / 2 2 / 2 2 \ \\| | / 2 / / 2 2 / 2 2 \ \\ / 2 / / 2 2 / 2 2 \ \\| | 4 / 2 / 2 2 / 2 2 \ \ |atan2\21352*im(v)*re(v) - 5202*im(v)*re(v)*sin(35), - 10676*im (v) + 10676*re (v) + 1040400000*sin(35) - 2601*\re (v) - im (v)/*sin(35)/| 4 / 2 / 2 2 / 2 2 \ \ |atan2\21352*im(v)*re(v) - 5202*im(v)*re(v)*sin(35), - 10676*im (v) + 10676*re (v) + 1040400000*sin(35) - 2601*\re (v) - im (v)/*sin(35)/|| |4 / 2 / 2 2 / 2 2 \ \ |atan2\21352*im(v)*re(v) - 5202*im(v)*re(v)*sin(35), - 10676*im (v) + 10676*re (v) + 1040400000*sin(35) - 2601*\re (v) - im (v)/*sin(35)/| 4 / 2 / 2 2 / 2 2 \ \ |atan2\21352*im(v)*re(v) - 5202*im(v)*re(v)*sin(35), - 10676*im (v) + 10676*re (v) + 1040400000*sin(35) - 2601*\re (v) - im (v)/*sin(35)/|| | \/ (21352*im(v)*re(v) - 5202*im(v)*re(v)*sin(35)) + \- 10676*im (v) + 10676*re (v) + 1040400000*sin(35) - 2601*\re (v) - im (v)/*sin(35)/ *cos|----------------------------------------------------------------------------------------------------------------------------------------| I*\/ (21352*im(v)*re(v) - 5202*im(v)*re(v)*sin(35)) + \- 10676*im (v) + 10676*re (v) + 1040400000*sin(35) - 2601*\re (v) - im (v)/*sin(35)/ *sin|----------------------------------------------------------------------------------------------------------------------------------------|| |\/ (21352*im(v)*re(v) - 5202*im(v)*re(v)*sin(35)) + \- 10676*im (v) + 10676*re (v) + 1040400000*sin(35) - 2601*\re (v) - im (v)/*sin(35)/ *cos|----------------------------------------------------------------------------------------------------------------------------------------| I*\/ (21352*im(v)*re(v) - 5202*im(v)*re(v)*sin(35)) + \- 10676*im (v) + 10676*re (v) + 1040400000*sin(35) - 2601*\re (v) - im (v)/*sin(35)/ *sin|----------------------------------------------------------------------------------------------------------------------------------------|| | \ 2 / \ 2 /| | \ 2 / \ 2 /| |- -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| | __________ __________ | | __________ __________ | \ 51*\/ -sin(35) 51*\/ -sin(35) / \ 51*\/ -sin(35) 51*\/ -sin(35) /
$$\left(- \frac{i \sqrt[4]{\left(- 5202 \sin{\left(35 \right)} \operatorname{re}{\left(v\right)} \operatorname{im}{\left(v\right)} + 21352 \operatorname{re}{\left(v\right)} \operatorname{im}{\left(v\right)}\right)^{2} + \left(- 2601 \left(\left(\operatorname{re}{\left(v\right)}\right)^{2} - \left(\operatorname{im}{\left(v\right)}\right)^{2}\right) \sin{\left(35 \right)} + 10676 \left(\operatorname{re}{\left(v\right)}\right)^{2} - 10676 \left(\operatorname{im}{\left(v\right)}\right)^{2} + 1040400000 \sin{\left(35 \right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 5202 \sin{\left(35 \right)} \operatorname{re}{\left(v\right)} \operatorname{im}{\left(v\right)} + 21352 \operatorname{re}{\left(v\right)} \operatorname{im}{\left(v\right)},- 2601 \left(\left(\operatorname{re}{\left(v\right)}\right)^{2} - \left(\operatorname{im}{\left(v\right)}\right)^{2}\right) \sin{\left(35 \right)} + 10676 \left(\operatorname{re}{\left(v\right)}\right)^{2} - 10676 \left(\operatorname{im}{\left(v\right)}\right)^{2} + 1040400000 \sin{\left(35 \right)} \right)}}{2} \right)}}{51 \sqrt{- \sin{\left(35 \right)}}} - \frac{\sqrt[4]{\left(- 5202 \sin{\left(35 \right)} \operatorname{re}{\left(v\right)} \operatorname{im}{\left(v\right)} + 21352 \operatorname{re}{\left(v\right)} \operatorname{im}{\left(v\right)}\right)^{2} + \left(- 2601 \left(\left(\operatorname{re}{\left(v\right)}\right)^{2} - \left(\operatorname{im}{\left(v\right)}\right)^{2}\right) \sin{\left(35 \right)} + 10676 \left(\operatorname{re}{\left(v\right)}\right)^{2} - 10676 \left(\operatorname{im}{\left(v\right)}\right)^{2} + 1040400000 \sin{\left(35 \right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 5202 \sin{\left(35 \right)} \operatorname{re}{\left(v\right)} \operatorname{im}{\left(v\right)} + 21352 \operatorname{re}{\left(v\right)} \operatorname{im}{\left(v\right)},- 2601 \left(\left(\operatorname{re}{\left(v\right)}\right)^{2} - \left(\operatorname{im}{\left(v\right)}\right)^{2}\right) \sin{\left(35 \right)} + 10676 \left(\operatorname{re}{\left(v\right)}\right)^{2} - 10676 \left(\operatorname{im}{\left(v\right)}\right)^{2} + 1040400000 \sin{\left(35 \right)} \right)}}{2} \right)}}{51 \sqrt{- \sin{\left(35 \right)}}}\right) \left(\frac{i \sqrt[4]{\left(- 5202 \sin{\left(35 \right)} \operatorname{re}{\left(v\right)} \operatorname{im}{\left(v\right)} + 21352 \operatorname{re}{\left(v\right)} \operatorname{im}{\left(v\right)}\right)^{2} + \left(- 2601 \left(\left(\operatorname{re}{\left(v\right)}\right)^{2} - \left(\operatorname{im}{\left(v\right)}\right)^{2}\right) \sin{\left(35 \right)} + 10676 \left(\operatorname{re}{\left(v\right)}\right)^{2} - 10676 \left(\operatorname{im}{\left(v\right)}\right)^{2} + 1040400000 \sin{\left(35 \right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 5202 \sin{\left(35 \right)} \operatorname{re}{\left(v\right)} \operatorname{im}{\left(v\right)} + 21352 \operatorname{re}{\left(v\right)} \operatorname{im}{\left(v\right)},- 2601 \left(\left(\operatorname{re}{\left(v\right)}\right)^{2} - \left(\operatorname{im}{\left(v\right)}\right)^{2}\right) \sin{\left(35 \right)} + 10676 \left(\operatorname{re}{\left(v\right)}\right)^{2} - 10676 \left(\operatorname{im}{\left(v\right)}\right)^{2} + 1040400000 \sin{\left(35 \right)} \right)}}{2} \right)}}{51 \sqrt{- \sin{\left(35 \right)}}} + \frac{\sqrt[4]{\left(- 5202 \sin{\left(35 \right)} \operatorname{re}{\left(v\right)} \operatorname{im}{\left(v\right)} + 21352 \operatorname{re}{\left(v\right)} \operatorname{im}{\left(v\right)}\right)^{2} + \left(- 2601 \left(\left(\operatorname{re}{\left(v\right)}\right)^{2} - \left(\operatorname{im}{\left(v\right)}\right)^{2}\right) \sin{\left(35 \right)} + 10676 \left(\operatorname{re}{\left(v\right)}\right)^{2} - 10676 \left(\operatorname{im}{\left(v\right)}\right)^{2} + 1040400000 \sin{\left(35 \right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 5202 \sin{\left(35 \right)} \operatorname{re}{\left(v\right)} \operatorname{im}{\left(v\right)} + 21352 \operatorname{re}{\left(v\right)} \operatorname{im}{\left(v\right)},- 2601 \left(\left(\operatorname{re}{\left(v\right)}\right)^{2} - \left(\operatorname{im}{\left(v\right)}\right)^{2}\right) \sin{\left(35 \right)} + 10676 \left(\operatorname{re}{\left(v\right)}\right)^{2} - 10676 \left(\operatorname{im}{\left(v\right)}\right)^{2} + 1040400000 \sin{\left(35 \right)} \right)}}{2} \right)}}{51 \sqrt{- \sin{\left(35 \right)}}}\right)$$
=
/ / / 70*I\ -35*I\ / 70*I\ / 2 2 \ -35*I\
_______________________________________________________________________________________________________________________ | | 153*I*\1 - e /*e | 2 2 / 70*I\ -35*I 2601*I*\1 - e /*\im (v) - re (v)/*e |
/ 2 I*atan2|34*|628 - ------------------------|*im(v)*re(v), - 10676*im (v) + 10676*re (v) + 520200000*I*\1 - e /*e + -------------------------------------------|
/ / 2 2 / 2 2 \ \ 2 2 2 \ \ 2 / 2 /
\/ \-61200000*sin(35) - 628*re (v) + 628*im (v) + 153*\re (v) - im (v)/*sin(35)/ + 4*(628 - 153*sin(35)) *im (v)*re (v) *e
---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
153*sin(35)
$$\frac{\sqrt{\left(153 \left(\left(\operatorname{re}{\left(v\right)}\right)^{2} - \left(\operatorname{im}{\left(v\right)}\right)^{2}\right) \sin{\left(35 \right)} - 628 \left(\operatorname{re}{\left(v\right)}\right)^{2} + 628 \left(\operatorname{im}{\left(v\right)}\right)^{2} - 61200000 \sin{\left(35 \right)}\right)^{2} + 4 \left(628 - 153 \sin{\left(35 \right)}\right)^{2} \left(\operatorname{re}{\left(v\right)}\right)^{2} \left(\operatorname{im}{\left(v\right)}\right)^{2}} e^{i \operatorname{atan_{2}}{\left(34 \left(628 - \frac{153 i \left(1 - e^{70 i}\right) e^{- 35 i}}{2}\right) \operatorname{re}{\left(v\right)} \operatorname{im}{\left(v\right)},\frac{2601 i \left(1 - e^{70 i}\right) \left(- \left(\operatorname{re}{\left(v\right)}\right)^{2} + \left(\operatorname{im}{\left(v\right)}\right)^{2}\right) e^{- 35 i}}{2} + 10676 \left(\operatorname{re}{\left(v\right)}\right)^{2} - 10676 \left(\operatorname{im}{\left(v\right)}\right)^{2} + 520200000 i \left(1 - e^{70 i}\right) e^{- 35 i} \right)}}}{153 \sin{\left(35 \right)}}$$
sqrt((-61200000*sin(35) - 628*re(v)^2 + 628*im(v)^2 + 153*(re(v)^2 - im(v)^2)*sin(35))^2 + 4*(628 - 153*sin(35))^2*im(v)^2*re(v)^2)*exp(i*atan2(34*(628 - 153*i*(1 - exp(70*i))*exp(-35*i)/2)*im(v)*re(v), -10676*im(v)^2 + 10676*re(v)^2 + 520200000*i*(1 - exp(70*i))*exp(-35*i) + 2601*i*(1 - exp(70*i))*(im(v)^2 - re(v)^2)*exp(-35*i)/2))/(153*sin(35))