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- La ecuación:
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Ecuación (x-3)*(x+2)=0
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Ecuación (11x+14)-(5x-8)=25
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Ecuación z^2-6*z+10=0
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Ecuación 4/(x-4)=-5
- Expresar {x} en función de y en la ecuación:
- -7*x-13*y=5
- 15*x+1*y=19
- 7*x-1*y=-7
- -11*x-14*y=-3
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Expresiones idénticas
- cero =(setecientos nueve / veinte)-((quinientos doce / cinco)*((x- cien)/ cuarenta))-(sesenta y nueve *((y-(ciento cincuenta y nueve / cien))/(cincuenta y siete / cien)))-((cuatrocientos cincuenta y dos / cinco)*((z- setenta)/ treinta))-((ciento doce / cinco)*((x- cien)/ cuarenta)*((y-(ciento cincuenta y nueve / cien))/(cincuenta y siete / cien)))+(veinticinco *((x- cien)/ cuarenta)*((z- setenta)/ treinta))-(cuarenta y siete *((y-(ciento cincuenta y nueve / cien))/(cincuenta y siete / cien))*((z- setenta)/ treinta))+(nueve *((x- cien)/ cuarenta)*((y-(ciento cincuenta y nueve / cien))/(cincuenta y siete / cien))*((z- setenta)/ treinta))
- 0 es igual a (709 dividir por 20) menos ((512 dividir por 5) multiplicar por ((x menos 100) dividir por 40)) menos (69 multiplicar por ((y menos (159 dividir por 100)) dividir por (57 dividir por 100))) menos ((452 dividir por 5) multiplicar por ((z menos 70) dividir por 30)) menos ((112 dividir por 5) multiplicar por ((x menos 100) dividir por 40) multiplicar por ((y menos (159 dividir por 100)) dividir por (57 dividir por 100))) más (25 multiplicar por ((x menos 100) dividir por 40) multiplicar por ((z menos 70) dividir por 30)) menos (47 multiplicar por ((y menos (159 dividir por 100)) dividir por (57 dividir por 100)) multiplicar por ((z menos 70) dividir por 30)) más (9 multiplicar por ((x menos 100) dividir por 40) multiplicar por ((y menos (159 dividir por 100)) dividir por (57 dividir por 100)) multiplicar por ((z menos 70) dividir por 30))
- cero es igual a (setecientos nueve dividir por veinte) menos ((quinientos doce dividir por cinco) multiplicar por ((x menos cien) dividir por cuarenta)) menos (sesenta y nueve multiplicar por ((y menos (ciento cincuenta y nueve dividir por cien)) dividir por (cincuenta y siete dividir por cien))) menos ((cuatrocientos cincuenta y dos dividir por cinco) multiplicar por ((z menos setenta) dividir por treinta)) menos ((ciento doce dividir por cinco) multiplicar por ((x menos cien) dividir por cuarenta) multiplicar por ((y menos (ciento cincuenta y nueve dividir por cien)) dividir por (cincuenta y siete dividir por cien))) más (veinticinco multiplicar por ((x menos cien) dividir por cuarenta) multiplicar por ((z menos setenta) dividir por treinta)) menos (cuarenta y siete multiplicar por ((y menos (ciento cincuenta y nueve dividir por cien)) dividir por (cincuenta y siete dividir por cien)) multiplicar por ((z menos setenta) dividir por treinta)) más (nueve multiplicar por ((x menos cien) dividir por cuarenta) multiplicar por ((y menos (ciento cincuenta y nueve dividir por cien)) dividir por (cincuenta y siete dividir por cien)) multiplicar por ((z menos setenta) dividir por treinta))
- 0=(709/20)-((512/5)((x-100)/40))-(69((y-(159/100))/(57/100)))-((452/5)((z-70)/30))-((112/5)((x-100)/40)((y-(159/100))/(57/100)))+(25((x-100)/40)((z-70)/30))-(47((y-(159/100))/(57/100))((z-70)/30))+(9((x-100)/40)((y-(159/100))/(57/100))((z-70)/30))
- 0=709/20-512/5x-100/40-69y-159/100/57/100-452/5z-70/30-112/5x-100/40y-159/100/57/100+25x-100/40z-70/30-47y-159/100/57/100z-70/30+9x-100/40y-159/100/57/100z-70/30
- 0=(709 dividir por 20)-((512 dividir por 5)*((x-100) dividir por 40))-(69*((y-(159 dividir por 100)) dividir por (57 dividir por 100)))-((452 dividir por 5)*((z-70) dividir por 30))-((112 dividir por 5)*((x-100) dividir por 40)*((y-(159 dividir por 100)) dividir por (57 dividir por 100)))+(25*((x-100) dividir por 40)*((z-70) dividir por 30))-(47*((y-(159 dividir por 100)) dividir por (57 dividir por 100))*((z-70) dividir por 30))+(9*((x-100) dividir por 40)*((y-(159 dividir por 100)) dividir por (57 dividir por 100))*((z-70) dividir por 30))
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Expresiones semejantes
- 0=(709/20)-((512/5)*((x-100)/40))-(69*((y-(159/100))/(57/100)))+((452/5)*((z-70)/30))-((112/5)*((x-100)/40)*((y-(159/100))/(57/100)))+(25*((x-100)/40)*((z-70)/30))-(47*((y-(159/100))/(57/100))*((z-70)/30))+(9*((x-100)/40)*((y-(159/100))/(57/100))*((z-70)/30))
- 0=(709/20)-((512/5)*((x-100)/40))-(69*((y-(159/100))/(57/100)))-((452/5)*((z-70)/30))-((112/5)*((x-100)/40)*((y-(159/100))/(57/100)))-(25*((x-100)/40)*((z-70)/30))-(47*((y-(159/100))/(57/100))*((z-70)/30))+(9*((x-100)/40)*((y-(159/100))/(57/100))*((z-70)/30))
- 0=(709/20)-((512/5)*((x-100)/40))-(69*((y-(159/100))/(57/100)))-((452/5)*((z-70)/30))-((112/5)*((x-100)/40)*((y-(159/100))/(57/100)))+(25*((x-100)/40)*((z-70)/30))-(47*((y-(159/100))/(57/100))*((z+70)/30))+(9*((x-100)/40)*((y-(159/100))/(57/100))*((z-70)/30))
- 0=(709/20)-((512/5)*((x-100)/40))-(69*((y-(159/100))/(57/100)))-((452/5)*((z-70)/30))-((112/5)*((x-100)/40)*((y-(159/100))/(57/100)))+(25*((x-100)/40)*((z+70)/30))-(47*((y-(159/100))/(57/100))*((z-70)/30))+(9*((x-100)/40)*((y-(159/100))/(57/100))*((z-70)/30))
- 0=(709/20)-((512/5)*((x-100)/40))-(69*((y-(159/100))/(57/100)))-((452/5)*((z-70)/30))-((112/5)*((x-100)/40)*((y+(159/100))/(57/100)))+(25*((x-100)/40)*((z-70)/30))-(47*((y-(159/100))/(57/100))*((z-70)/30))+(9*((x-100)/40)*((y-(159/100))/(57/100))*((z-70)/30))
- 0=(709/20)-((512/5)*((x-100)/40))-(69*((y-(159/100))/(57/100)))-((452/5)*((z-70)/30))-((112/5)*((x-100)/40)*((y-(159/100))/(57/100)))+(25*((x-100)/40)*((z-70)/30))-(47*((y+(159/100))/(57/100))*((z-70)/30))+(9*((x-100)/40)*((y-(159/100))/(57/100))*((z-70)/30))
- 0=(709/20)-((512/5)*((x-100)/40))-(69*((y-(159/100))/(57/100)))-((452/5)*((z+70)/30))-((112/5)*((x-100)/40)*((y-(159/100))/(57/100)))+(25*((x-100)/40)*((z-70)/30))-(47*((y-(159/100))/(57/100))*((z-70)/30))+(9*((x-100)/40)*((y-(159/100))/(57/100))*((z-70)/30))
- 0=(709/20)-((512/5)*((x-100)/40))-(69*((y-(159/100))/(57/100)))-((452/5)*((z-70)/30))-((112/5)*((x-100)/40)*((y-(159/100))/(57/100)))+(25*((x-100)/40)*((z-70)/30))+(47*((y-(159/100))/(57/100))*((z-70)/30))+(9*((x-100)/40)*((y-(159/100))/(57/100))*((z-70)/30))
- 0=(709/20)-((512/5)*((x+100)/40))-(69*((y-(159/100))/(57/100)))-((452/5)*((z-70)/30))-((112/5)*((x-100)/40)*((y-(159/100))/(57/100)))+(25*((x-100)/40)*((z-70)/30))-(47*((y-(159/100))/(57/100))*((z-70)/30))+(9*((x-100)/40)*((y-(159/100))/(57/100))*((z-70)/30))
- 0=(709/20)-((512/5)*((x-100)/40))-(69*((y-(159/100))/(57/100)))-((452/5)*((z-70)/30))-((112/5)*((x-100)/40)*((y-(159/100))/(57/100)))+(25*((x-100)/40)*((z-70)/30))-(47*((y-(159/100))/(57/100))*((z-70)/30))+(9*((x-100)/40)*((y-(159/100))/(57/100))*((z+70)/30))
- 0=(709/20)-((512/5)*((x-100)/40))-(69*((y-(159/100))/(57/100)))-((452/5)*((z-70)/30))-((112/5)*((x-100)/40)*((y-(159/100))/(57/100)))+(25*((x+100)/40)*((z-70)/30))-(47*((y-(159/100))/(57/100))*((z-70)/30))+(9*((x-100)/40)*((y-(159/100))/(57/100))*((z-70)/30))
- 0=(709/20)-((512/5)*((x-100)/40))-(69*((y+(159/100))/(57/100)))-((452/5)*((z-70)/30))-((112/5)*((x-100)/40)*((y-(159/100))/(57/100)))+(25*((x-100)/40)*((z-70)/30))-(47*((y-(159/100))/(57/100))*((z-70)/30))+(9*((x-100)/40)*((y-(159/100))/(57/100))*((z-70)/30))
- 0=(709/20)-((512/5)*((x-100)/40))-(69*((y-(159/100))/(57/100)))-((452/5)*((z-70)/30))-((112/5)*((x-100)/40)*((y-(159/100))/(57/100)))+(25*((x-100)/40)*((z-70)/30))-(47*((y-(159/100))/(57/100))*((z-70)/30))+(9*((x+100)/40)*((y-(159/100))/(57/100))*((z-70)/30))
- 0=(709/20)-((512/5)*((x-100)/40))-(69*((y-(159/100))/(57/100)))-((452/5)*((z-70)/30))-((112/5)*((x-100)/40)*((y-(159/100))/(57/100)))+(25*((x-100)/40)*((z-70)/30))-(47*((y-(159/100))/(57/100))*((z-70)/30))+(9*((x-100)/40)*((y+(159/100))/(57/100))*((z-70)/30))
- 0=(709/20)-((512/5)*((x-100)/40))-(69*((y-(159/100))/(57/100)))-((452/5)*((z-70)/30))-((112/5)*((x+100)/40)*((y-(159/100))/(57/100)))+(25*((x-100)/40)*((z-70)/30))-(47*((y-(159/100))/(57/100))*((z-70)/30))+(9*((x-100)/40)*((y-(159/100))/(57/100))*((z-70)/30))
- 0=(709/20)-((512/5)*((x-100)/40))-(69*((y-(159/100))/(57/100)))-((452/5)*((z-70)/30))+((112/5)*((x-100)/40)*((y-(159/100))/(57/100)))+(25*((x-100)/40)*((z-70)/30))-(47*((y-(159/100))/(57/100))*((z-70)/30))+(9*((x-100)/40)*((y-(159/100))/(57/100))*((z-70)/30))
- 0=(709/20)-((512/5)*((x-100)/40))-(69*((y-(159/100))/(57/100)))-((452/5)*((z-70)/30))-((112/5)*((x-100)/40)*((y-(159/100))/(57/100)))+(25*((x-100)/40)*((z-70)/30))-(47*((y-(159/100))/(57/100))*((z-70)/30))-(9*((x-100)/40)*((y-(159/100))/(57/100))*((z-70)/30))
- 0=(709/20)-((512/5)*((x-100)/40))+(69*((y-(159/100))/(57/100)))-((452/5)*((z-70)/30))-((112/5)*((x-100)/40)*((y-(159/100))/(57/100)))+(25*((x-100)/40)*((z-70)/30))-(47*((y-(159/100))/(57/100))*((z-70)/30))+(9*((x-100)/40)*((y-(159/100))/(57/100))*((z-70)/30))
- 0=(709/20)+((512/5)*((x-100)/40))-(69*((y-(159/100))/(57/100)))-((452/5)*((z-70)/30))-((112/5)*((x-100)/40)*((y-(159/100))/(57/100)))+(25*((x-100)/40)*((z-70)/30))-(47*((y-(159/100))/(57/100))*((z-70)/30))+(9*((x-100)/40)*((y-(159/100))/(57/100))*((z-70)/30))
0=(709/20)-((512/5)*((x-100)/40))-(69*((y-(159/100))/(57/100)))-((452/5)*((z-70)/30))-((112/5)*((x-100)/40)*((y-(159/100))/(57/100)))+(25*((x-100)/40)*((z-70)/30))-(47*((y-(159/100))/(57/100))*((z-70)/30))+(9*((x-100)/40)*((y-(159/100))/(57/100))*((z-70)/30)) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
x - 100 159 z - 70 x - 100 159 159 159
512*------- y - --- 452*------ 112*------- y - --- y - --- y - ---
709 40 100 30 40 100 x - 100 z - 70 100 z - 70 x - 100 100 z - 70
0 = --- - ----------- - 69*------- - ---------- - -----------*------- + 25*-------*------ - 47*-------*------ + 9*-------*-------*------
20 5 / 57\ 5 5 / 57\ 40 30 / 57\ 30 40 / 57\ 30
|---| |---| |---| |---|
\100/ \100/ \100/ \100/
$$0 = \frac{z - 70}{30} \cdot 9 \frac{x - 100}{40} \frac{y - \frac{159}{100}}{\frac{57}{100}} + \left(- \frac{z - 70}{30} \cdot 47 \frac{y - \frac{159}{100}}{\frac{57}{100}} + \left(\frac{z - 70}{30} \cdot 25 \frac{x - 100}{40} + \left(- \frac{112 \frac{x - 100}{40}}{5} \frac{y - \frac{159}{100}}{\frac{57}{100}} + \left(- \frac{452 \frac{z - 70}{30}}{5} + \left(\left(\frac{709}{20} - \frac{512 \frac{x - 100}{40}}{5}\right) - 69 \frac{y - \frac{159}{100}}{\frac{57}{100}}\right)\right)\right)\right)\right)$$
Gráfica
Respuesta rápida
[src]
/2*(-im(z) - 21700*im(y) + 150*im(y*z))*(3969255 - 69500*re(y*z) + 23352*re(z) + 4475000*re(y)) 2*(-69500*im(y*z) + 23352*im(z) + 4475000*im(y))*(11306 - 150*re(y*z) + 21700*re(y) + re(z))\ 2*(-im(z) - 21700*im(y) + 150*im(y*z))*(-69500*im(y*z) + 23352*im(z) + 4475000*im(y)) 2*(11306 - 150*re(y*z) + 21700*re(y) + re(z))*(3969255 - 69500*re(y*z) + 23352*re(z) + 4475000*re(y))
x1 = I*|---------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------| - ---------------------------------------------------------------------------------------- + -----------------------------------------------------------------------------------------------------
| / 2 2\ / 2 2\ | / 2 2\ / 2 2\
\ 3*\(-150*im(y*z) + 21700*im(y) + im(z)) + (11306 - 150*re(y*z) + 21700*re(y) + re(z)) / 3*\(-150*im(y*z) + 21700*im(y) + im(z)) + (11306 - 150*re(y*z) + 21700*re(y) + re(z)) / / 3*\(-150*im(y*z) + 21700*im(y) + im(z)) + (11306 - 150*re(y*z) + 21700*re(y) + re(z)) / 3*\(-150*im(y*z) + 21700*im(y) + im(z)) + (11306 - 150*re(y*z) + 21700*re(y) + re(z)) /
$$x_{1} = i \left(\frac{2 \left(- 21700 \operatorname{im}{\left(y\right)} - \operatorname{im}{\left(z\right)} + 150 \operatorname{im}{\left(y z\right)}\right) \left(4475000 \operatorname{re}{\left(y\right)} + 23352 \operatorname{re}{\left(z\right)} - 69500 \operatorname{re}{\left(y z\right)} + 3969255\right)}{3 \left(\left(21700 \operatorname{im}{\left(y\right)} + \operatorname{im}{\left(z\right)} - 150 \operatorname{im}{\left(y z\right)}\right)^{2} + \left(21700 \operatorname{re}{\left(y\right)} + \operatorname{re}{\left(z\right)} - 150 \operatorname{re}{\left(y z\right)} + 11306\right)^{2}\right)} + \frac{2 \left(4475000 \operatorname{im}{\left(y\right)} + 23352 \operatorname{im}{\left(z\right)} - 69500 \operatorname{im}{\left(y z\right)}\right) \left(21700 \operatorname{re}{\left(y\right)} + \operatorname{re}{\left(z\right)} - 150 \operatorname{re}{\left(y z\right)} + 11306\right)}{3 \left(\left(21700 \operatorname{im}{\left(y\right)} + \operatorname{im}{\left(z\right)} - 150 \operatorname{im}{\left(y z\right)}\right)^{2} + \left(21700 \operatorname{re}{\left(y\right)} + \operatorname{re}{\left(z\right)} - 150 \operatorname{re}{\left(y z\right)} + 11306\right)^{2}\right)}\right) - \frac{2 \left(- 21700 \operatorname{im}{\left(y\right)} - \operatorname{im}{\left(z\right)} + 150 \operatorname{im}{\left(y z\right)}\right) \left(4475000 \operatorname{im}{\left(y\right)} + 23352 \operatorname{im}{\left(z\right)} - 69500 \operatorname{im}{\left(y z\right)}\right)}{3 \left(\left(21700 \operatorname{im}{\left(y\right)} + \operatorname{im}{\left(z\right)} - 150 \operatorname{im}{\left(y z\right)}\right)^{2} + \left(21700 \operatorname{re}{\left(y\right)} + \operatorname{re}{\left(z\right)} - 150 \operatorname{re}{\left(y z\right)} + 11306\right)^{2}\right)} + \frac{2 \left(21700 \operatorname{re}{\left(y\right)} + \operatorname{re}{\left(z\right)} - 150 \operatorname{re}{\left(y z\right)} + 11306\right) \left(4475000 \operatorname{re}{\left(y\right)} + 23352 \operatorname{re}{\left(z\right)} - 69500 \operatorname{re}{\left(y z\right)} + 3969255\right)}{3 \left(\left(21700 \operatorname{im}{\left(y\right)} + \operatorname{im}{\left(z\right)} - 150 \operatorname{im}{\left(y z\right)}\right)^{2} + \left(21700 \operatorname{re}{\left(y\right)} + \operatorname{re}{\left(z\right)} - 150 \operatorname{re}{\left(y z\right)} + 11306\right)^{2}\right)}$$
x1 = i*(2*(-21700*im(y) - im(z) + 150*im(y*z))*(4475000*re(y) + 23352*re(z) - 69500*re(y*z) + 3969255)/(3*((21700*im(y) + im(z) - 150*im(y*z))^2 + (21700*re(y) + re(z) - 150*re(y*z) + 11306)^2)) + 2*(4475000*im(y) + 23352*im(z) - 69500*im(y*z))*(21700*re(y) + re(z) - 150*re(y*z) + 11306)/(3*((21700*im(y) + im(z) - 150*im(y*z))^2 + (21700*re(y) + re(z) - 150*re(y*z) + 11306)^2))) - 2*(-21700*im(y) - im(z) + 150*im(y*z))*(4475000*im(y) + 23352*im(z) - 69500*im(y*z))/(3*((21700*im(y) + im(z) - 150*im(y*z))^2 + (21700*re(y) + re(z) - 150*re(y*z) + 11306)^2)) + 2*(21700*re(y) + re(z) - 150*re(y*z) + 11306)*(4475000*re(y) + 23352*re(z) - 69500*re(y*z) + 3969255)/(3*((21700*im(y) + im(z) - 150*im(y*z))^2 + (21700*re(y) + re(z) - 150*re(y*z) + 11306)^2))
Suma y producto de raíces
[src]
suma
/2*(-im(z) - 21700*im(y) + 150*im(y*z))*(3969255 - 69500*re(y*z) + 23352*re(z) + 4475000*re(y)) 2*(-69500*im(y*z) + 23352*im(z) + 4475000*im(y))*(11306 - 150*re(y*z) + 21700*re(y) + re(z))\ 2*(-im(z) - 21700*im(y) + 150*im(y*z))*(-69500*im(y*z) + 23352*im(z) + 4475000*im(y)) 2*(11306 - 150*re(y*z) + 21700*re(y) + re(z))*(3969255 - 69500*re(y*z) + 23352*re(z) + 4475000*re(y)) I*|---------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------| - ---------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------- | / 2 2\ / 2 2\ | / 2 2\ / 2 2\ \ 3*\(-150*im(y*z) + 21700*im(y) + im(z)) + (11306 - 150*re(y*z) + 21700*re(y) + re(z)) / 3*\(-150*im(y*z) + 21700*im(y) + im(z)) + (11306 - 150*re(y*z) + 21700*re(y) + re(z)) / / 3*\(-150*im(y*z) + 21700*im(y) + im(z)) + (11306 - 150*re(y*z) + 21700*re(y) + re(z)) / 3*\(-150*im(y*z) + 21700*im(y) + im(z)) + (11306 - 150*re(y*z) + 21700*re(y) + re(z)) /
$$i \left(\frac{2 \left(- 21700 \operatorname{im}{\left(y\right)} - \operatorname{im}{\left(z\right)} + 150 \operatorname{im}{\left(y z\right)}\right) \left(4475000 \operatorname{re}{\left(y\right)} + 23352 \operatorname{re}{\left(z\right)} - 69500 \operatorname{re}{\left(y z\right)} + 3969255\right)}{3 \left(\left(21700 \operatorname{im}{\left(y\right)} + \operatorname{im}{\left(z\right)} - 150 \operatorname{im}{\left(y z\right)}\right)^{2} + \left(21700 \operatorname{re}{\left(y\right)} + \operatorname{re}{\left(z\right)} - 150 \operatorname{re}{\left(y z\right)} + 11306\right)^{2}\right)} + \frac{2 \left(4475000 \operatorname{im}{\left(y\right)} + 23352 \operatorname{im}{\left(z\right)} - 69500 \operatorname{im}{\left(y z\right)}\right) \left(21700 \operatorname{re}{\left(y\right)} + \operatorname{re}{\left(z\right)} - 150 \operatorname{re}{\left(y z\right)} + 11306\right)}{3 \left(\left(21700 \operatorname{im}{\left(y\right)} + \operatorname{im}{\left(z\right)} - 150 \operatorname{im}{\left(y z\right)}\right)^{2} + \left(21700 \operatorname{re}{\left(y\right)} + \operatorname{re}{\left(z\right)} - 150 \operatorname{re}{\left(y z\right)} + 11306\right)^{2}\right)}\right) - \frac{2 \left(- 21700 \operatorname{im}{\left(y\right)} - \operatorname{im}{\left(z\right)} + 150 \operatorname{im}{\left(y z\right)}\right) \left(4475000 \operatorname{im}{\left(y\right)} + 23352 \operatorname{im}{\left(z\right)} - 69500 \operatorname{im}{\left(y z\right)}\right)}{3 \left(\left(21700 \operatorname{im}{\left(y\right)} + \operatorname{im}{\left(z\right)} - 150 \operatorname{im}{\left(y z\right)}\right)^{2} + \left(21700 \operatorname{re}{\left(y\right)} + \operatorname{re}{\left(z\right)} - 150 \operatorname{re}{\left(y z\right)} + 11306\right)^{2}\right)} + \frac{2 \left(21700 \operatorname{re}{\left(y\right)} + \operatorname{re}{\left(z\right)} - 150 \operatorname{re}{\left(y z\right)} + 11306\right) \left(4475000 \operatorname{re}{\left(y\right)} + 23352 \operatorname{re}{\left(z\right)} - 69500 \operatorname{re}{\left(y z\right)} + 3969255\right)}{3 \left(\left(21700 \operatorname{im}{\left(y\right)} + \operatorname{im}{\left(z\right)} - 150 \operatorname{im}{\left(y z\right)}\right)^{2} + \left(21700 \operatorname{re}{\left(y\right)} + \operatorname{re}{\left(z\right)} - 150 \operatorname{re}{\left(y z\right)} + 11306\right)^{2}\right)}$$
=
/2*(-im(z) - 21700*im(y) + 150*im(y*z))*(3969255 - 69500*re(y*z) + 23352*re(z) + 4475000*re(y)) 2*(-69500*im(y*z) + 23352*im(z) + 4475000*im(y))*(11306 - 150*re(y*z) + 21700*re(y) + re(z))\ 2*(-im(z) - 21700*im(y) + 150*im(y*z))*(-69500*im(y*z) + 23352*im(z) + 4475000*im(y)) 2*(11306 - 150*re(y*z) + 21700*re(y) + re(z))*(3969255 - 69500*re(y*z) + 23352*re(z) + 4475000*re(y)) I*|---------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------| - ---------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------- | / 2 2\ / 2 2\ | / 2 2\ / 2 2\ \ 3*\(-150*im(y*z) + 21700*im(y) + im(z)) + (11306 - 150*re(y*z) + 21700*re(y) + re(z)) / 3*\(-150*im(y*z) + 21700*im(y) + im(z)) + (11306 - 150*re(y*z) + 21700*re(y) + re(z)) / / 3*\(-150*im(y*z) + 21700*im(y) + im(z)) + (11306 - 150*re(y*z) + 21700*re(y) + re(z)) / 3*\(-150*im(y*z) + 21700*im(y) + im(z)) + (11306 - 150*re(y*z) + 21700*re(y) + re(z)) /
$$i \left(\frac{2 \left(- 21700 \operatorname{im}{\left(y\right)} - \operatorname{im}{\left(z\right)} + 150 \operatorname{im}{\left(y z\right)}\right) \left(4475000 \operatorname{re}{\left(y\right)} + 23352 \operatorname{re}{\left(z\right)} - 69500 \operatorname{re}{\left(y z\right)} + 3969255\right)}{3 \left(\left(21700 \operatorname{im}{\left(y\right)} + \operatorname{im}{\left(z\right)} - 150 \operatorname{im}{\left(y z\right)}\right)^{2} + \left(21700 \operatorname{re}{\left(y\right)} + \operatorname{re}{\left(z\right)} - 150 \operatorname{re}{\left(y z\right)} + 11306\right)^{2}\right)} + \frac{2 \left(4475000 \operatorname{im}{\left(y\right)} + 23352 \operatorname{im}{\left(z\right)} - 69500 \operatorname{im}{\left(y z\right)}\right) \left(21700 \operatorname{re}{\left(y\right)} + \operatorname{re}{\left(z\right)} - 150 \operatorname{re}{\left(y z\right)} + 11306\right)}{3 \left(\left(21700 \operatorname{im}{\left(y\right)} + \operatorname{im}{\left(z\right)} - 150 \operatorname{im}{\left(y z\right)}\right)^{2} + \left(21700 \operatorname{re}{\left(y\right)} + \operatorname{re}{\left(z\right)} - 150 \operatorname{re}{\left(y z\right)} + 11306\right)^{2}\right)}\right) - \frac{2 \left(- 21700 \operatorname{im}{\left(y\right)} - \operatorname{im}{\left(z\right)} + 150 \operatorname{im}{\left(y z\right)}\right) \left(4475000 \operatorname{im}{\left(y\right)} + 23352 \operatorname{im}{\left(z\right)} - 69500 \operatorname{im}{\left(y z\right)}\right)}{3 \left(\left(21700 \operatorname{im}{\left(y\right)} + \operatorname{im}{\left(z\right)} - 150 \operatorname{im}{\left(y z\right)}\right)^{2} + \left(21700 \operatorname{re}{\left(y\right)} + \operatorname{re}{\left(z\right)} - 150 \operatorname{re}{\left(y z\right)} + 11306\right)^{2}\right)} + \frac{2 \left(21700 \operatorname{re}{\left(y\right)} + \operatorname{re}{\left(z\right)} - 150 \operatorname{re}{\left(y z\right)} + 11306\right) \left(4475000 \operatorname{re}{\left(y\right)} + 23352 \operatorname{re}{\left(z\right)} - 69500 \operatorname{re}{\left(y z\right)} + 3969255\right)}{3 \left(\left(21700 \operatorname{im}{\left(y\right)} + \operatorname{im}{\left(z\right)} - 150 \operatorname{im}{\left(y z\right)}\right)^{2} + \left(21700 \operatorname{re}{\left(y\right)} + \operatorname{re}{\left(z\right)} - 150 \operatorname{re}{\left(y z\right)} + 11306\right)^{2}\right)}$$
producto
/2*(-im(z) - 21700*im(y) + 150*im(y*z))*(3969255 - 69500*re(y*z) + 23352*re(z) + 4475000*re(y)) 2*(-69500*im(y*z) + 23352*im(z) + 4475000*im(y))*(11306 - 150*re(y*z) + 21700*re(y) + re(z))\ 2*(-im(z) - 21700*im(y) + 150*im(y*z))*(-69500*im(y*z) + 23352*im(z) + 4475000*im(y)) 2*(11306 - 150*re(y*z) + 21700*re(y) + re(z))*(3969255 - 69500*re(y*z) + 23352*re(z) + 4475000*re(y)) I*|---------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------| - ---------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------- | / 2 2\ / 2 2\ | / 2 2\ / 2 2\ \ 3*\(-150*im(y*z) + 21700*im(y) + im(z)) + (11306 - 150*re(y*z) + 21700*re(y) + re(z)) / 3*\(-150*im(y*z) + 21700*im(y) + im(z)) + (11306 - 150*re(y*z) + 21700*re(y) + re(z)) / / 3*\(-150*im(y*z) + 21700*im(y) + im(z)) + (11306 - 150*re(y*z) + 21700*re(y) + re(z)) / 3*\(-150*im(y*z) + 21700*im(y) + im(z)) + (11306 - 150*re(y*z) + 21700*re(y) + re(z)) /
$$i \left(\frac{2 \left(- 21700 \operatorname{im}{\left(y\right)} - \operatorname{im}{\left(z\right)} + 150 \operatorname{im}{\left(y z\right)}\right) \left(4475000 \operatorname{re}{\left(y\right)} + 23352 \operatorname{re}{\left(z\right)} - 69500 \operatorname{re}{\left(y z\right)} + 3969255\right)}{3 \left(\left(21700 \operatorname{im}{\left(y\right)} + \operatorname{im}{\left(z\right)} - 150 \operatorname{im}{\left(y z\right)}\right)^{2} + \left(21700 \operatorname{re}{\left(y\right)} + \operatorname{re}{\left(z\right)} - 150 \operatorname{re}{\left(y z\right)} + 11306\right)^{2}\right)} + \frac{2 \left(4475000 \operatorname{im}{\left(y\right)} + 23352 \operatorname{im}{\left(z\right)} - 69500 \operatorname{im}{\left(y z\right)}\right) \left(21700 \operatorname{re}{\left(y\right)} + \operatorname{re}{\left(z\right)} - 150 \operatorname{re}{\left(y z\right)} + 11306\right)}{3 \left(\left(21700 \operatorname{im}{\left(y\right)} + \operatorname{im}{\left(z\right)} - 150 \operatorname{im}{\left(y z\right)}\right)^{2} + \left(21700 \operatorname{re}{\left(y\right)} + \operatorname{re}{\left(z\right)} - 150 \operatorname{re}{\left(y z\right)} + 11306\right)^{2}\right)}\right) - \frac{2 \left(- 21700 \operatorname{im}{\left(y\right)} - \operatorname{im}{\left(z\right)} + 150 \operatorname{im}{\left(y z\right)}\right) \left(4475000 \operatorname{im}{\left(y\right)} + 23352 \operatorname{im}{\left(z\right)} - 69500 \operatorname{im}{\left(y z\right)}\right)}{3 \left(\left(21700 \operatorname{im}{\left(y\right)} + \operatorname{im}{\left(z\right)} - 150 \operatorname{im}{\left(y z\right)}\right)^{2} + \left(21700 \operatorname{re}{\left(y\right)} + \operatorname{re}{\left(z\right)} - 150 \operatorname{re}{\left(y z\right)} + 11306\right)^{2}\right)} + \frac{2 \left(21700 \operatorname{re}{\left(y\right)} + \operatorname{re}{\left(z\right)} - 150 \operatorname{re}{\left(y z\right)} + 11306\right) \left(4475000 \operatorname{re}{\left(y\right)} + 23352 \operatorname{re}{\left(z\right)} - 69500 \operatorname{re}{\left(y z\right)} + 3969255\right)}{3 \left(\left(21700 \operatorname{im}{\left(y\right)} + \operatorname{im}{\left(z\right)} - 150 \operatorname{im}{\left(y z\right)}\right)^{2} + \left(21700 \operatorname{re}{\left(y\right)} + \operatorname{re}{\left(z\right)} - 150 \operatorname{re}{\left(y z\right)} + 11306\right)^{2}\right)}$$
=
2*(I*(-(-150*im(y*z) + 21700*im(y) + im(z))*(3969255 - 69500*re(y*z) + 23352*re(z) + 4475000*re(y)) + 4*(-17375*im(y*z) + 5838*im(z) + 1118750*im(y))*(11306 - 150*re(y*z) + 21700*re(y) + re(z))) + (11306 - 150*re(y*z) + 21700*re(y) + re(z))*(3969255 - 69500*re(y*z) + 23352*re(z) + 4475000*re(y)) + 4*(-17375*im(y*z) + 5838*im(z) + 1118750*im(y))*(-150*im(y*z) + 21700*im(y) + im(z)))
------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
/ 2 2\
3*\(-150*im(y*z) + 21700*im(y) + im(z)) + (11306 - 150*re(y*z) + 21700*re(y) + re(z)) /
$$\frac{2 \left(i \left(- \left(21700 \operatorname{im}{\left(y\right)} + \operatorname{im}{\left(z\right)} - 150 \operatorname{im}{\left(y z\right)}\right) \left(4475000 \operatorname{re}{\left(y\right)} + 23352 \operatorname{re}{\left(z\right)} - 69500 \operatorname{re}{\left(y z\right)} + 3969255\right) + 4 \left(1118750 \operatorname{im}{\left(y\right)} + 5838 \operatorname{im}{\left(z\right)} - 17375 \operatorname{im}{\left(y z\right)}\right) \left(21700 \operatorname{re}{\left(y\right)} + \operatorname{re}{\left(z\right)} - 150 \operatorname{re}{\left(y z\right)} + 11306\right)\right) + 4 \left(21700 \operatorname{im}{\left(y\right)} + \operatorname{im}{\left(z\right)} - 150 \operatorname{im}{\left(y z\right)}\right) \left(1118750 \operatorname{im}{\left(y\right)} + 5838 \operatorname{im}{\left(z\right)} - 17375 \operatorname{im}{\left(y z\right)}\right) + \left(21700 \operatorname{re}{\left(y\right)} + \operatorname{re}{\left(z\right)} - 150 \operatorname{re}{\left(y z\right)} + 11306\right) \left(4475000 \operatorname{re}{\left(y\right)} + 23352 \operatorname{re}{\left(z\right)} - 69500 \operatorname{re}{\left(y z\right)} + 3969255\right)\right)}{3 \left(\left(21700 \operatorname{im}{\left(y\right)} + \operatorname{im}{\left(z\right)} - 150 \operatorname{im}{\left(y z\right)}\right)^{2} + \left(21700 \operatorname{re}{\left(y\right)} + \operatorname{re}{\left(z\right)} - 150 \operatorname{re}{\left(y z\right)} + 11306\right)^{2}\right)}$$
2*(i*(-(-150*im(y*z) + 21700*im(y) + im(z))*(3969255 - 69500*re(y*z) + 23352*re(z) + 4475000*re(y)) + 4*(-17375*im(y*z) + 5838*im(z) + 1118750*im(y))*(11306 - 150*re(y*z) + 21700*re(y) + re(z))) + (11306 - 150*re(y*z) + 21700*re(y) + re(z))*(3969255 - 69500*re(y*z) + 23352*re(z) + 4475000*re(y)) + 4*(-17375*im(y*z) + 5838*im(z) + 1118750*im(y))*(-150*im(y*z) + 21700*im(y) + im(z)))/(3*((-150*im(y*z) + 21700*im(y) + im(z))^2 + (11306 - 150*re(y*z) + 21700*re(y) + re(z))^2))